Consider the function f(x)=x√ x² + 25. Enter the number of critical points/numbers of f(x). Determine the x-coordinates of the critical points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any critical points.

Q: 6 a. Prove that if z = (ax + by)², then x b.Let z = +yzy =In(x² + y²). Show that 322 + 3 = 0 əx2 Əy…

A: (a) Given that           z = (ax+by)2 Then we have to prove that xzx'+yzy'=2z .

Q: Use a linearization, or differentials, to approximate the value of $7.95.

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Q: Find the value of cot 8 for the triangle shown below. √√7 8 1 O √7 O √2 √7 7

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Q: Determine the equation of the graph below. Use cosine as your base function. -4- 3 -2- 0 --2- 2 లు.…

A: determine the equation of the graph below .use cosine as your base function .

Q: (g) List all of the horizontal and vertical asymptotes of k(z). Horizontal asymptotoe(s): k(x) =…

A: Given;

Q: 43. Find the first partial derivatives f(x, t) et sin (7x)

A: Since you have asked multiple questions in a single request so we will be answering only first…

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A: Diagram To find the polar coordinates

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Q: 1 88°F Mostly sunny The range of sec¹ (x) is: O (-00, -1] U [1,00] O [0) U( O O [0, ) U (,1] (2,4) Q…

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Q: Below is the graph of the DERIVATIVE of f --- that is, the curve y = f'(x) is pictured below. y =…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Let u = (4, 5), v = : (4, 5), w = (26, -53). Find the vector x that satisfies 5u - 3v + 2x = 23x +…

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Q: For what values of a and b will the parabola y=x² + ax + b be tangent to the curve y=x³ at the point…

A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: The equation for the graph is

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Q: (h') JE √3x dr x² - 2

A: To evaluate the following indefinite integral.Note: Since, the student has mentioned to solve only…

Q: the plane through point

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Q: Which integral would represent the area shown? 8 6 4 2- 0 Y 0.5 1 1.5 2 2.5 3 X ²2xdx 2 √² (2x − 2)…

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Q: Evaluate the definite integrals using the graph of f(z) below. (a) ³1 (2) dz = (b) [₁²1 (2) dz = (c)…

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Q: Find the exact value of cos(cot ¹(-1)). O 0 √2 O -√2 2 O -√2 √2 2

A: if

Q: Let f(n) =an for all positive integers n. What conditions must be met for the Integral Test? Select…

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Q: ASK YOUR TEACHER When a vertical beam of light passes through a transparent medium, the rate at…

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Q: K Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the…

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: Determine the corresponding ordered pair of the point on the unit circle for the following angle…

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Q: Compare the monthly payments and total loan costs for the following pairs of loan options. Assume…

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Q: The area of an ellipse with axes of length 2a and 2b is A = tab. Approximate the percent change in…

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Q: Suppose (a) Evaluate the definite integral: [²5 f(x) dx = (b) Find the average value of f(x) over…

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Q: If sec(8) = -3, and is in the second quadrant, find tan 8. 10 O 2√2 O-√10 O-2√2

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Q: Find the general solution of the given higher-order differential equation. au du ** - *** - 20 dt³…

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Q: Which of the following lines is parallel to the normal line of the 2x²y + yz - xz = 1 surface at the…

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Q: Evaluate the limit, using L'Hôpital's Rule. Enter INF for ∞, -INF for -∞, or DNE if the limit does…

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Q: lim [√9x² - 4x + 3x] x→−8

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Q: What is the integral of f(x) within the interval [2, 5]? 6 4 A 2 2 4 Area = 11.0 Area = 9.5 Area =…

A: Concept

Q: a) Approximate the area under graph (a) of f(x) = 3/x² over the interval [1,9] by computing the area…

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Q: Graph f(8)= -3cot(8+3)-1 where ≤ 0≤n. Use t

A: ,

Q: Which of the following points does not belong to the graph of f(e) = sin (46) (the y-values have…

A: To find the point which does not belong to the graph of .

Q: a. The usual way to evaluate the improper integral 1 = e 00 ²-[[eta][[eta]-[[- ´e¯v²³ dy = S S e¯…

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Q: If sine = --and tane= find sec 8. 1 3 86°F Rain coming Esc 0-13/15 0 F1 O 1 1 53 315 53 F2 @ 2 F3 O…

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Q: If A = 1 01 O O correct answer is A = then what is A¹ [ -1 O -1 1 H 0

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Q: A circular oak table top is 4 feet in diameter and 3/4 inch thick. How heavy is it if oak weighs 47…

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Q: The graph shown below is f(x) = √√2x - 2. If g(x) = f(t) dt, what is g' (2)? 543-2-112345 -24 00 o…

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Q: Assume the given point is on the terminal side of an angle in standard position. The value of tan 8…

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Q: Find the volume of the region between the planes x + y + 2z = 3 and 4x + 4y + z = 12 in the first…

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Q: Supposed = 4 sin (2x) and y(0) = 1. x What is y(1)? O 3.83 O 3.76 O 3.54 O 3.44

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Q: The graphs of the functions f and g are shown below. If h(x) = f(x) g(a), find h' (5). 7 6 5 Y 3- 2…

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Q: Find all critical points of the following function. f(x,y) = 4xy-x4-y4 What are the critical points?…

A: The given function is

Q: Evaluate the integral 25 39 5 cos (x²) 6-√/Z 0 0 3у -dx dy dz by changing the order of integration…

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Q: Find the value of sec 8 for the triangle shown below.

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Q: Differentiate the following function. ) = 1/2 (1³8 + 8) 8 f'(t) = f(t) X

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Q: Let f(x) = 2x² +3. Calculate the difference quotient (2+h)-f(2) for the h values below. Then, find…

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