Find the indefinite integral and check the results by differentiation S(4x²+ + 3)²dx

Q: For what value of a is the following function continuous at every x? f(x) = x²-30, x<10 x≥ 10 ax,…

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Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: R'(x)= 0.03x2-0.08x+189

Q: = Find fæ, fy, fxx, fyy, fay for the function f 5 x³ siny+8 y² cosx+3x+7y.

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Q: Start with the geometric series (1) Σ nx", lx| < 1 n = 1 (a) Find the sum of the series nx-1, |x| <…

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Q: If the marginal revenue for ski gloves is R'(x) = -0.5x + 55 and R(0) = 0, find the revenue…

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Q: Determine the critical numbers, if any, of the function f. f(x) = 3x² + 3x³ - 54x² - 81x + 21 Give…

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Q: Use special limit rules to discuss your response, you may use any graphing tool to support your…

A: In a n-sided regular polygon, the angle made at the center is the division of the total angle of a…

Q: Estimate the average value of f(x) from x = a to x = b. 28 21 f(x)

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Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

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Q: dx f(x) g(x)]-

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Q: Let g(z) = √√23 Determine the most general antiderivative of 9. | √dz = [

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

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Q: Find the absolute minimum and absolute maximum of f(x, y) = 192x³ + y²(1 - 4x) on the triangle with…

A: Given function is Now, we have to find the absolute minimum and absolute maximum for the above…

Q: a. What is lim g(x)? Choose the correct answer below and, if necessary, fill in the answer box to…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Suppose that AABC is a right triangle with ZC = 90°.

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Q: Find the domain of f(x). f(x)=√x² + 7x + 10

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

A: Let  be the function .By using the formal definition of the derivative .

Q: Find the indicated term of the binomial expansion. 10 (m-n) ¹0 ; fifth term

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Q: Find the area bounded by y = 2 sin x, y = cos 2x from 0 ≤ x ≤ T. π. Round your answer to the…

A: Given that the region bounded by curves

Q: 3. Use the figure to answer the questions. B M Answer: D C (a) Which pair of corresponding angles do…

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Q: A cone is designed to have a radius of 6 cm and a height of 9 cm, but the radius and height are off…

A: Radius= 6 cmHeight= 9 cmChange in radius is 0.03Change in height is -0.06

Q: 3/4 Find the cost function if the marginal cost function is given by C'(x) = x C(x) = +5 and 16…

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Q: tanh x = e²t - 1 e²x + 1

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Q: Let g(x) = 6e* Determine the most general antiderivative of g. [6e²dx = [

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Q: 2. Find the domain and range for these functions: -2-1 y=fle

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: To find a formula for the general term  of the following sequence.

Q: The function C(t)=C0(1+r)t models the rise in the cost of a product that has a cost of C0 today,…

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Q: f(x) = 3x² (x - 2)²

A: f(x)=3x2(x−2)2We know that the Mclaurin series of 11−x11−x=∑n=0∞xn

Q: me limit definition of the derivative to find dx for f(x) = √-4x.

A: Given that the expression

Q: Sketch a graph of a function f with the following properties: the function is continuous on [-5, 5]…

A: Sketch a graph of a function f with the following properties:the function is continuous on [-5, 5]1.…

Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

Q: Suppose that the radius of convergence of the power series   cn xn is R.     What is the radius of…

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Q: Find the area bounded by x² = y-1 and x = y-3 using horizontal strip

A: To find the area bounded by  by using horizontal strip.

Q: b) Solve the following rational equation for the indicated variable. Be sure check for extraneous…

A: To solve the following rational equation.

Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is

Q: The cost for producing a thousand widgets is given by C(x) = 0.06x4 - 2x³ + 14x² + 400x, 0 ≤ x ≤ 60.…

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Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: Given that the polar curve

Q: Express the limit as a definite integral on the given interval. lim n→∞ i = 1 exi 3 + X; Ax dx [0,…

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Q: S 12x+8 3x²+4x+8 dx

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Q: f(0) = 6, f'(0) = -1, f" (0) = -11, f"" (0) = 13

A: The Maclaurin Series for a function f(x) is represented…

Q: Find the tangent plane and normal line to In X 2y = z²(x-2y) + 3z +3 at (4, 2, -1).

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Q: (a) The graph in the figure given below is made of line segments joined end to end. At which points…

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Q: √ 5x(x² +4)√√x² + 4 dx. 2

A: To evaluate the following integral.

Q: Let f(x)=√x. Use linear approximation at x = 27 to approximate f(27.1) 27.1. = The equation of the…

A: f(x)=  , x=27

Q: derivative xy = e -xy

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Q: Determine whether the series converges or diverges. Σ 5 sin (²) n n = 1

A: The given series is

Q: 13. For the following limits, verify that direct substitution yields an indeterminate form. Then use…

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Q: Which of the following series are convergent? I. 1+1/2² + 1/3² + ... 1/n² + ... II. 1 + 1/2 + 1/3 +…

A: The given series are; 1) 1 + 1/22 +1/32 +...+ 1/n2+...2) 1 + 1/2 + 1/3 +...+ 1/n+...3) 1 - 1/3 +…