Take the derivate of x^2

Q: The total daily cost (in dollars) of producing x park benches is given by C(x) = 1000+15x+0.1x² B.…

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Q: 15. Determine the vector, parametric, and Cartesian equations of each of the following planes: a.…

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Q: 1. A Challenge on Implicit Differentiation dy Assuming that y is function of x, calculate for the…

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Q: Let f(x) -√√x. = Set up the definite integral for the area A of the region between the graph of f…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the absolute maximum f(x) x²-4x-7; [-1,6] values of the function and indicate the x-values at…

A: For any query with the solution, please ask in the comment box.

Q: 5c Calculate the following double integrals using the indicated change of variables (Jaco-bian):

A: Step 1: Sketch the Region RDraw the x and y axes.Draw the horizontal line y = 0 (x-axis).Draw the…

Q: 4t Let (t) = ( - t +2, -3e-4, -5 sin( - 2t)) t¹ Find the unit tangent vector T (t) at the point t =…

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Q: please solve this step by step and quick please

A: Step 1:Step 2:Step 3: code and output  Step 4: you can also use desmos . Go to desmos, click on…

Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x)=4x²…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculate M6 for f(x)=sqr(3x) for [2,5]

A: Step 1:To approximate the integral of f(x)=3x​ using the midpoint rule with n=6 subintervals over…

Q: Calculate R5 for f(x)=4x2+6x over [-1,1]

A: The objective of this question is to calculate the Riemann sum, specifically R5, for the function…

Q: Suppose we have the following scenario: Multiplier: 1.6 Tax Rate: 20% Increase in spending: $200…

A: To calculate the deficit that arises from the increase in government spending, we need to consider…

Q: Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether…

A: Consider,Absolute Minimum: It is the lowest point in the entire graph. From the graph, the absolute…

Q: 26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by 3…

A: The objective of this question is to find the average rate of change in volume of the cubical…

Q: Given the point (2,3) on a tangent line to the curve f(x) = x^2 + 3x - 4 find the points where the…

A: If you have any problem let me know here in comment box for this thankyou.

Q: Let f (x) = arcsin(x²) arctan(2x). Evaluate f'(x) =

A: Given: f′(x)=arcsin(x2)arctan(2x)Getting the derivative, we…

Q: Is there an easier way of solving this problem? I'm currently just imputing 0-8 for J it isn't…

A: To help you with your answer, here are some calculations of your problems using Photomath: (You can…

Q: The base of the right triangle pictured below is 8 centimeters and the angle is increasing at the…

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Q: Replacement Time An outboard motor has an initial price of $2,160. A service contract costs $400 for…

A: Wen can find the average cost per year, we divide the total cost C(n) by the number of years,n.So,…

Q: Homework

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = In(x² +…

A: Step 1:Step 2: Step 3:Step 4:Comparing the values:ln⁡(11/4)≈1.0116ln⁡(3)≈1.0986ln⁡(23)≈3.1355So, the…

Q: Homework

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Q: 24. Oil Flow Oil flows through a cylindrical pipe of radius 3 inches, but friction from the pipe…

A: The objective of this question is to find the rate at which oil is flowing through the pipe using…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Absolute minimum and maximum values of a function in a given interval are the highest and lowest…

Q: In this question we use two ways to calculate an integral and in doing so, verify the Generalized…

A: That involves computing a surface integral over the oriented boundary of a manifold M, and you want…

Q: Test each of the following series for convergence by either the Comparison Test or the Limit…

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Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 6 + x² - y² and above the…

A: Step 1:The hyperbolic paraboloid is z=6+x2−y2R is [−3.3]×[0,2]Step 2:The volume of the solid that…

Q: The total revenue function for a product is given by R=410x dollars, and the total cost function for…

A: ANSWER ( a ) ​​ ANSWER ( b ) ​​   ANSWER ( c ) ​​   ANSWER ( d ) ​​

Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic…

A: Step 1:Step 2: Step 3: Step 4:

Q: Which of the following functions has the smallest average value on the given interval? Select one:…

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Q: Set up, but do not evaluate, the integral for finding the surface of the region obtained by rotating…

A: To set up the integrals for finding the surface area of the region obtained by rotating the curve:…

Q: c. - f'(1) = (3e³ – 2p¹³) In (5p¯² — *√p) -

A: To differentiate the given expression f′(1)=3e3−2p−1/3ln(5p−2−p−1/4), we'll need to apply the chain…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Evaluate the indefinite integral. (x + 1)e³x²+6x dx (Express numbers in exact form. Use symbolic…

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Q: The fuel tanks for airplanes are in the wings, cross section below. The tank must hold 5400 lb of…

A: So, the estimated length of the tank using Simpson's Rule is approximately 18.29 ft, rounded to the…

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Step 1:The given function is, f(t)=2t3+2t  with domain [−2,2].  Step 2:Differentiating this, we have…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Here's the detailed explanation with all the calculations Step 1. Differentiation:We are given the…

Q: Determine the Cartesian equation of the plane that contains the line F= (2, 3, 2) + (1, 1, 4), te R,…

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Q: Part 2: Find the error(s) and solve the problem correctly Find the volume of a sphere with a radius…

A: Step 1:​Let the region is bounded by the circle x2+y2=32Region is being rotated about x-axis to get…

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim X-∞ 1+…

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Q: Evaluate the indefinite integral. x² (4x³ – 2)³ dx (Express numbers in exact form. Use symbolic…

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Q: Find the exact location of all the relative and absolute extrema of the function. Your instructor…

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Q: (a) y dy dx (b) y dy dx Calculate the derivatives of the following functions. = 5 log (√√9 – 11x) =…

A: Step 1:Step 2:Step 3: Step 4:  Thanks

Q: Which of the following is the equation x² + y² = 4 in spherical coordinates? Or² = 4 Op² = 4 Op²…

A: Step 1:    Step 2: Step 3: Step 4:

Q: Use the Change of Variables Formula to evaluate the definite integral. 2 10 ln x -dx x (Use symbolic…

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Q: #5, (a) Classify and sketch the surface x+y²+z² = 4, (b) Find the tangent plane at the point…

A: Step 1:a) Classification:This surface is quadratic in three dimensions.It's a type of quadratic…

Q: Practice

A: 1. In the given,  we can find the side e using the Sine Law since we are given an angle ∠F=54°…

Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: The objective of the question is to determine whether the given series converges or diverges. The…