Moving to another question will save this resport ion 1 Identify which of the following derivative rules are needed to find the derivative of /(x)=( A. natural log rule B. chain rule OC. product rule OD. quotient rule OE. exponential rule another question will save this response.

Q: Graph the function and determine the number of extrema for the polynomial f (x) = 7x² +3-10x.…

A: NOTE: Refresh your page if you can't see any equations. . here the given function is a quadratic…

Q: 41. lim [2ln(x-3) - In(3x² + 5)] X-80

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Q: The boxplot below shows salaries for Actuaries and CPAs. CPA HC Actuary 30 40 70 80 90 100 110 Q 50…

A: First we will plot the minimum, first quartile, median, third quartile, and maximum as shown below

Q: Find the indefinite integral. (Use C for the constant of integration.) (-8x7) dx |

A: Let A=∫e^-X^8(-8X^7)dX        →  ∫X^n=X^(n+1)n+1

Q: y" + y = 2, y(0) = 4, y' (0) = 3 (A) y = 2 sint + 3 cos

A: given y'' + y = 2 D2y + y = 2(D2 + 1 ) = 2 for complementary solution D2 + 1 =0D = ±iD = 0…

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A: Let a curve C be parametrized by x= f(t) and y = g(t),

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Q: Find each limit, if possible. (If an answer does not exist, enter DNE.) 7x +5 (a) lim (b) lim (c)…

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Q: 4. Evaluate the expression without using a calculator. (a) log₂ (2) = (b) log, (√9) = (c) log10…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Write the integral as a sum of integrals without absolute values and evaluate: ƒ³ |x³| dx : =

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Q: 4. Suppose that the following equation defines y as a differentiable function of x: 2√y + y = 2x.…

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Q: K By computing the first few derivatives and looking for a pattern, find dx d925 925 dx 925 925 (sin…

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Q: Calculate the first eight terms of the sequence defined by 1 a₁ = 1, an+1 3an +3. Does it appear to…

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Q: Use the e- definition of a limit to compute the value of the following limits: 1. 2. lim 2² – 5

A: We  will find the required  limit.

Q: Consider the function. Find f'(x). f'(x) = Find f"(x). f"(x) = Find f"(-1) and f"(4). f"(-1) = f"(4)…

A: The given function fx=x3-3x2+2 We have to find the values of f'x, f''x, f''-1 and f''4

Q: Find an equation of the tangent line to the curve at the given point. y =   1 + sin(x) cos(x),…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. √6x² + 2x +7 dx 3 X…

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Q: an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.5%…

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Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

A: We have to find the absolute extrema.

Q: Consider the function f(x) Answer the following questions about f(z). 8.2 (2²+4)³ and f''(a)= 2² +4…

A: Consider the function fx=x2x2+4.f'x=8xx2+42f''x=32-24x2x2+43To answer the following questions about…

Q: y²dx + (3xy + y² - 1)dy = 0 ex + ln y + ²) + 2) dx + dx + ( + lnx + siny) dy = 0

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Q: 2. Match each logarithmic function with its graph. I II ++ (a) f(x) = log₂ (x) (b) f(x) = -log₂ (-x)…

A: We have given equation and graph to match From given graphs graph I :   (a)  fx=-log2x graph II :…

Q: Find the indefinite integral. (Use C for the constant of integration.) √³x (3) dx Need Help? Fland…

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Q: If sin x 3 5' (without finding x) sin(2x) cos(2x) tan (2x) = = = x in quadrant I, then find

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Q: (a) We have 3 X Y

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Q: Question Determine which of the following tests would be best to use to determine the convergence of…

A: Solution: ∑n=1∞9n37 Apply p series test if the series is of the form  ∑n=1∞1np, where p>0 If…

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Q: dy Given x²y + xy = 3, use implicit differentiation to find da da dy da da da = = 2xy + 1 x² + x 2xy…

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Q: 1. [e²y ycos (xy)] dx + [2xe²y xcos (xy) + 2y] dy = = = 0

A: According to guidelines I can only solve first question ,rest can be reposted.

Q: Consider the function f(x)=x3−5x on the closed interval [−3,1]. Find the exact value of the slope…

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Q: Given 2y-√x-z+2√-5y-4z = -5, calculate Provide your answer below: || dz dx

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Q: Use the e-8 definition of a limit to compute the value of the following limits: 1. lim -3x+1 3

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Q: Question Determine the absolute error when using the trapezoidal rule to find (2x³+4x) dx using 4…

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Q: 9. You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Assume that the relation x = √500+ 5y² defines y implicitly as a function of x. Determine y" as a…

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Q: A bacterial culture grows with a constant relative growth rate. After 2 hours there are 400…

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Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

A: Note: Since the student has posted many sub-parts of the question and does not mention any specific…

Q: Question Determine an upper bound for the error in estimating √3e² with 4 subintervals. Enter an…

A: Please see the below picture for detailed solution.

Q: Which of the following does not have the same graph as r = 2 Or -2+3 cos 0 Or -2- 3 cos 0 O r = -2+3…

A: We have to choose the correct option from the given options according to the given information

Q: Question Determine if the series below converges or diverges by comparing it to a p-series using the…

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Q: Evaluate the definite integral: S." 6 dx

A: This question can be solved using the formula ∫xndx=xn+1n+1+c…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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Q: Question 1 i) ii) iii) iv) Find the derivative of the following function using the first principle:…

A: i) f(t)=3t2+2t+1 Using the first principle: f'(t)=limh→0f(t+h_)-f(t)h…

Q: Describe the long run behavior of f(p)=−2(p−3)(p+1)3(p−1) As p→−∞, f(p)= As p→∞, f(p)=

A: Describe the long run behavior of f(p)=−2(p−3)(p+1)3(p−1) As p→−∞, f(p)=     As p→∞, f(p)=

Q: 3. Given h(x) = 3 ln(1 + x²) + 8 arctan(x), find all x where h"(x) = 0.

A: Topic - inflection point of a function We are given h(x)=3ln(1+x2)+8arctan(x)we know…

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Q: Find the equation of the tangent plane to the surface: x² + y²-z² = -z, at (1, 1, 2)

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