Given t2 – 4 f(x) = dt 1+ cos2(t) At what value of x does the local max of f(x) occur?

Q: Find the limit. Show all work. Vx +5 -3 1. lim- 2x? –x-3 COSX 2. lim X--1 3. lim x-/2 Cotx X4 X- 4…

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Q: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: Use the ratio test to determine if the following series converges or diverges. 7" n=1 n!

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Q: Write 32/3 as an integral

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Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) & B(-3,-7)

Q: Use the method of cylindrical shells to find the volume of the solid generated by revolving the…

A: We have to find the volume of the given solid.

Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 4- 2 3 -2 -3 -4 A(2) = %3D…

A: Explanation of the answer is as follows

Q: Find the area bounded by y = x+ 4 and y = x2- 2. Answer:

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Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

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Q: 1. Consider the function f(x) =-2(3x– 3)* + 1. a) State transformations. b) Use TWO of the following…

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Q: Solve the two items using Integration by parts. 1. [x' V9- x² dx 2. Te2* sin x dx

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Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

Q: Evaluate the definite integral (12a² – 6x + 6)dx 3.

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Q: 2. Solve for x the equation sin1 3x - cos1 2x = 6

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Q: 5. Given y=af(1 Find when =1 if f(2) = tand f(2) = 5.

A: Topic = Derivative

Q: please kindly provide a clearer picture of the answer and solution, I cannot properly view it. thank…

A: Kindly refresh the page if you do not see the solution properly. I am sharing the image form of the…

Q: How does sinx/x + 2sinx behave as x approaches zero? A. -1 B -1/2 C. 1/3 D. does not exist…

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Q: 5. Find the Maclaurin series for f(x) = In(1 Do not use the building block from the previous…

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Q: Find the sum of the geometric series. 1)" n-1 2.5 5 15 25

A: Sum of the finite geometric series :                  ∑n= 1k arn-1 = a(1-rk)1-r ; where, a-first…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

A: Area of the region bounded by the curves :      If f(x) and g(x) are two continuous function on a,b…

Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6" + 1 n = 1…

A: Solve the following

Q: Find the limit. Show all work. 2x2 – x-3 2. lim X→-1 X+1

A: Use limit concept

Q: Solve the differential equation below using series methods. y'' – xy' – 5y = 0, y(0) = 4, y'(0) = 2…

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Q: Find all first-order partial derivatives of the given function. + ye2= (b) g(s, t) = s tant + log2(s…

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Q: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

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Q: vergent, find its sum. (If the quantity diverges, enter DIVERGES.) 00 cos n° - Cos (n + 1)2 n = 1

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Q: 3. A rectangle is inscribed under the curve of f(x) = e-*², where one side of the rectangle lies on…

A: Follow the procedure given below.

Q: If f(x)=-(x -4), find (a) The x-intercept and the y-intercept (b) The interval where the function is…

A: The given function f(x)=-x2-43

Q: 3x² + 3 = In 5xy² 2

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Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: Finding the Area Bounded by Two Graphs Sketch the region bounded by the graphs of the functions. See…

A: This is a problem related to area of the intersected region by given curves. Based on the general…

Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms…

A: Follow next step

Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

A: According to bartleby guidelines I can only answer the first three sub-questions of the given…

Q: If f(x, y) = x cos y + ye", find the second-order derivatives %3D af a²f ах ду" and ar" dy ax'

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Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: 15 of 19 sin x + cot c Which expression is equivalent to COs x sin x + tan x tan x + csc x O cot x +…

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Q: 1 7. (x dy – y dx) = 0 x² + y?

A: We are given a differential equation  1/(x2+y2) ×(xdy - ydx ) =0 We have to determine whether it is…

Q: Find y' if y= 2x + Vx*-9xr+3.

A: We can find y' in the following steps.

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: e. An apple orchard now has 80 trees per hectare and the average yield is 400 apples per tree. For…

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Q: Find the average value of the function f(t) = 4 t sine) on the interval [0, 20]. Round your answer…

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: Note that, the revenue is given by: R(p)=q×p where q is the demand function. So,…

Q: (a) On what intervals is f increasing? (Enter your answer using interval notation.) On what…

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Q: Find: d/dt (1/square root of 2t) A. square root of 2t/4t B. - 1/square root of 2t C. 1/2t square…

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Q: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2, y =…

A: The given curves are; y=e-2x, y=0, x=0 and x=1 So, the bounded region is as shown below. Apply the…