dx dt Please give an exact answer. dy = 2, dt If z³ = x² + y²₁ Provide your answer below: = 1, and z> 0, find dz dt at (x, y) = (1, 0).

Q: dy = sin(x+4) dx

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Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: If S₁₁¹-² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the resulting of…

A: Let's solve double integral.

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: [ 2 cos(2a) da = -4 sin(2x)+C. Select one: O True O False

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Q: O a = 5i - 4j + 3k and b = 15i 12j + 9k. -

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Q: Two functions fand g are defined in the figure below. (a) Domain of f (b) 3 Range of f 4 6 7 9…

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Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

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Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

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Q: A study estimated how a person's social status (rated on a scale where 100 indicates the status of a…

A: The status of a person at an income of i thousand dollars is S(i)=17.5(i-1)0.53

Q: H.W: find dz and əz | ди ὃν z = 4e* ln y, x = ln(u cos v), y = u sin v as functions of u and vif:

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Q: (a) Graph f(x) = 3 x for x < 0. (b) Graph g(x) = 2√√x for x ≥ 0. (c) Graph r(x) = 3|x for x < 0 2√x…

A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

Q: fx x tan x dx

A: We can find the integration using integration by parts as below.

Q: Please recheck it, the answer is wrong. It isn't 823.

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Q: 3 A line passes through the point (-6, 4) and has a slope of 2 Write an equation in slope-intercept…

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Q: The graph off-1 is given below. Graph the tangent line to f-1 at the point P(1, 1) for f(x) = -x³ +…

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Q: lim f(x) x → -2+ lim f(x) x →-2- O False O True 4 3 2+ 1+ -5 -4 -3 -2 -1/ 1 2 3 4 → 5x

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Q: Consider the region B under the graph of y = 5x² + 3, x [3,5], and above the x- axis. Estimate the…

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Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y Z…

A: The plane passes by P2,0,-1 and that is perpendicular to the line x-5-2=2-y4=z-23

Q: Simplify:- 16--// 5 2

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A: We have a given function g=3e^x cos(yz)

Q: Find the point P on the line y=2xthat is closest to the point (25,0). What is the least distance…

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Q: 27. Consider the function h(x) = 2x²e-x² a) In two or three steps, write the properly simplified…

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Q: Find all solutions of the equation in the interval [0, 2π]. 2cosxcos3x-2sinxsin3x = √2 Write the…

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Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 The limit of the ratio test…

A: you have entered value of an instead of f(n) .

Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…

Q: Find the total area of the shaded region shown to the right given by the curve y = 2( sin x)√1+…

A: We can solve this as follows:

Q: The Maclaurin series of the function f(x) = 8x² sin(8x) can be written as f(x) = Σ" 72=0 where a few…

A: Solution is given below:

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

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Q: 12. Use the Limit Comparison Test to determine whether k³ + 3k-1 2k5+5k2-6 converges.

A: The given series,    ∑k=1∞k3+3k-12k5+5k2-6

Q: Let a = (5, 4, 2) and b = (-1, -2, -3), then 3a 5b (10, 2, -9). = - Select one: O True O False

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Q: 27. Consider the function h(x) = 2x² e-x² a) In two or three steps, write the properly simplified…

A: As per our guidelines, we are supposed to solve only 3 subparts. Kindly post other parts in the next…

Q: The graph of y = f(x) is shown. Use the graph to answer the question. 2 1 f(x) 1 -1 -2 2 lim Find…

A: Given graph of function y = f(x)

Q: Use the Comparison Test or Limit Comparison Test to determine if the series converges. n² Σ.. n² + 4…

A: See this solution in below

Q: f sin²(x) cos²(x) dx

A: cos(2x) = 1-2sin2(x) = 2cos2(x)-1. ∫cos(ax) dx=1asin(ax)+C ∫xn dx = xn+1n+1+C

Q: 8. 2dx 3 3x

A: Given

Q: Which of the following is the equation of a sphere with radius r = 3 centered at the point…

A: Given that radius of the sphere is 3 and the center of the sphere is -1,0,-2. We have to find the…

Q: The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain…

A: We have given a function f=|x| , we have to find g(x) with the help of graph

Q: If w = f(r, s, t), r = x-y, s=y-z, t=z-x then dw ax Əw Əw 0 O -1 -2 1 2 O

A: Use composite function to solve this problem.

Q: (A) 3y²ex+y²dx (B) 3) [3y²e²+ y² dx 0

A: In both integration we have to integrate with respect to x . So we treat y as a constant &amp; solve…

Q: Using Linear Coefficients of Two Variables, solve: (2x - 5y + 3)dx - (2x + 4y - 6)dy = 0

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: plz provide answer for question asap

A: Please see the below picture for detailed solution.

Q: Using Homogenous Equations solve in terms of y: (x² + y²) y' xy

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Q: Find an explicit solution of the given initial-value problem. 1 y(4) = 4 y = dy dx = y² x² - - 1

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Q: The sum of the geometric series Two (n=2 4n+1 n=0 5n-2 is

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Q: Y=(3x+4)² find dy/dx

A: Y=(3x+4)² find dy/dx