Suppose fis a function of x and that you know that f'(x) = 2x² – 15. Is f increasing, decreasing or constant at x=-4? Explain your reasoning

Q: Determine the equation of the midline of the following graph. 2 -27 3 27 3' 47 3 3. '3 2 6. -1 -3 -4…

A: From the given graph we have to find the midline value

Q: find cke endefinite integral using entagrstion by parts with gle given choices of de far Oe constant…

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Q: Problem 37: Convert the following complex numbers from rectangular form to polar form: a. 4+ j3 b.…

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Q: Use Green's Theorem to evaluate the line integral (y - x)dx + (2x - y)dy for the given path. C: x =…

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Q: Find V · (F × G), if F(x, y, z) = 2xi+j+14yk and G(x, y, z) = xi+ yj – zk. %3D - V · (F × G) = %3D

A: To solve the following problem

Q: B. Find the value of (r+1)dx in the following three ways: a. Using elementary geometry, interpreting…

A: answer is in next step

Q: Calculate the area enclosed by the curve f(x) = x³ – 6x2 + 8x and the x-axis.

A: Given query is to find the area enclosed by the curve and x Axis.

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Here, note that the distance between two police cars is 39 miles and the time between them is…

Q: Solve the following indefinite integrals, using substitution or integration by parts where needed 10…

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Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

Q: Find the standard equatron of the sphere with the given chara ct eristics center:(-1,7 9) radius: 6

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Q: Solve

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Q: 3. If dt , find g'(2). 5. g(x) =

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)? %3D

A: Given query is to find the value of c.

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 2…

A: Given problem:-

Q: Consider the function f(x) = 12x° + 30x4 – 300x³ +3. f(x) has inflection points at (reading from…

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Q: im 2x² Sin 4x²

A: Given query is to find the limit of the expression.

Q: FIND THE INTEGRAL OF YOUR ANSWERS IN 2a and 2b  Note: My answer on 2a and 2b will be found on the…

A: This is a problem related to integral of the function. Based on the general formula we will answer…

Q: ||r(1) × r"(t)|| Use the formula «(t) to find «(t). r(t) = 11 cos(t)i + 11 sin(t)j + 6tk K(t) =

A: We can solve as follows

Q: | x(x + 10)" dx

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Q: -dA dV dp 1. It shows that the behavior of fluid is A From the equation stated, show the formula +…

A: Here we have taken constant acceleration d2sdt2=dVdt To find the value of particular solution s(t)…

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

A: Given problem:-

Q: Solve for the gradient of the given function. f(x, y) = e¤ sin y + el cos x

A: Given,  f(x,y)=ex sin y+ey cos x

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 In n n +…

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Q: Consider the following functions. f(x) g(x) = 8 sin x = 8 cos 2x 6 Sketch the region bounded by the…

A: Solved below

Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = t'i + tốj K(t) =

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Q: What is the area bounded by the graphs of y = 8x and y = 16x 16? %3D O A = S*,- 1)dy O A = S*,(-1)dæ…

A: Topic:- application of integration

Q: 4. Evaluate lim (cos r)/". エ→0

A: we want to find the limit limx→0 ( cosx )1x2

Q: View Policies Current Attempt in Progress Find curl (6z i + 7x j + 9y k). curl (6z i + 7x j + 9y k)…

A: Solution:

Q: Consider the function f(x) = 4 – 7x² on the interval [- 5, 5]. Find the average or mean slope of the…

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Q: QUESTION 12 Eliminate the parameter to find a Cartesian equation of the curve. x-e'- 1, y - e Select…

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Q: Match the vector field with its graph. F(x, y) = yi 6. -6+ y 十H HH

A: We need to match vector field with its graph.

Q: Verify Green's Theorem by evaluating both integrals aM y? dx + x² dy = | / (G dA ay əx for the given…

A: Solved below.

Q: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the area of the region…

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Q: A concert promoter needs to make $81,000 from the sale of 1800 tickets. The promoter charges $40 for…

A: x+y=1800x= number of $40 ticketsy= number of $70 tickets

Q: Given Sla- 3| 3 x – g(x) = What is lim,3- 9(x) ? x- 9- O O 1 O -1

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Q: dx 3-x

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Q: Let S be given by x? + y? + z² = 25 and z > 0, oriented downward. (a) Sketch S and dS. Indicate…

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Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

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Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (-2,4, -…

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Q: 3. A balloon is released from the ground 100 meters from an observer. The balloon rises directly…

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Q: 2. Let f(x) = VI(2 – x)². Use the local linear approximation of f(x) at ro = 1 to estimate V0.99…

A: f(x)=x2-x2The linear approximation of f(x) at x0=1

Q: Find the first four nonzero terms in the Maclaurin series for f(x). f(x) = e 5x sin x ... Choose the…

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Q: 1 Given that 1 > x" with convergence in (-1, 1), find the power series for with center 1- 9x4 n=0 0.…

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Q: Find curl(2: i + 3x j + 6y k). curl(2: i + 3x j + 6y k) = ( )i + ( j + ( )k

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Q: If we apply Rolle's Theorem to the function f(x) = 2x2 – 16x – 4 on the interval [2, 6], how many…

A: We state Rolle's theorem here ------    Let f : [a,b] -&gt; R be a function continuous on [a,b] and…

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: Evaluate -5x lim,→0 tan x O -5 O 1 O 5

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Q: Find the area bounded by the curves y=sin x and y= cos x from x =0 tox= 7. Make a sketch and shade…

A: The region bounded by the curves y=sinx and y=cosx from x=0 to x=π