Evaluate the expression Sin (@+P); sin (@) = 15, 6 in Quadrant I, 171 Cos (P) = -2√5, Pin Quadrant I 5

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e5, where the value ab is as…

A: Let's find point by using Lagrange multipliers.

Q: Using the u-substitution u = 3x² + 1, identify f such that the integral =) = help (formulas) x 3x²+1…

A: Solution Given that  u=3x2+1

Q: Solve the system for x: x+y+z=2 x-y + 3z = 8 5x+y+z=14 A B X = X = 12 1 18 3 5 141 11 1 1-13 51 1 11…

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Q: What are the polar coordinates of the point shown in the graph below? Answer with the standard polar…

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Q: 13. Nutrition-Animal Mr. Smith decides to feed his pet Dober- man pinscher a combination of two dog…

A: We need to find minimum rquirments.

Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) = 2.5x + 115…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is

Q: Evaluate the following integral in cylindrical coordinates. 1 √1-x² √x² + y² S S (x² + y²)-1/2 dz dy…

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Q: A rectangular storage area is to be constructed along a side of a building. A security fence is…

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Q: Find the indicated partial derivatives of: дz дх Oz au || || Z= 4x x2+y2

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Q: Which of the following is not a way for a derivative to fail to exist? c. vertical tangent d.…

A: As we know If function discontinuous at a point x=a,then there must be non differentiable at x=aSo…

Q: Find an antiderivative of 3 z3 +4 z5 26 in the variable z where z > 0. Remember to include a "+ C"…

A: The given expression 3x3+4x5x6, where x>0. We have to find antiderivative of the expression.

Q: Find the divergence of the field. F = 6ze5xyzi + 6ze5xyzj + 6ye5xyzk div F =

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Q: Expand the following logarithm and simplify as much as possible: (V (y - 1)³ 35 y loga =

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Q: Find the indicated partial derivatives of: дz ?х дz ду || || z = ln(x2 + y3)

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Q: Evaluate the following line integral along the curve C. √(x+y+z) x+y+z)ds; C is the semicircle r(t)…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Include a multiplication…

A: Given query is to find the integral.

Q: Find the positive t when the vector r(t) = (10t, 9t², 6t² - 43) is perpendicular to r' (t).

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Q: Choose the correct answer. O A. B. log ₂6. log ₂y + log 2² log ₂6+ log 2y + log 2² C. This cannot be…

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Q: (e) [₂ -2 xVx+2dx U = x+2 du = 3 (1) fe el/x x2 -dx

A: SOLUTION-

Q: Use a series to estimate the following integral's value with an error of magnitude less than 10 -5…

A: We need to estimate integral.

Q: The point x O is a regular singular point of the given differential equation. Find the equation for…

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Q: Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z). c(t) =…

A: We have to show the following conditions according to the given information

Q: 12. f sec¹x tan³x dx

A: We need to find out the integration of the given integral.

Q: Determine if the limit 3x + 1 xxx²-x+5 exists, and if it does, find its value. lim 1. limit doesn't…

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Q: = L 3t dt. Then g' (2) equals Let g(x)= (Your answer should be a number.)

A: ∫xndx=xn+1n+1+cg(x)=∫x243tdt=3∫x24tdtdxndx=nxn-1

Q: Find dy/dx with implicit differentiation

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Q: Find the distance from the point (6,-5,-4) to the yz-plane

A: Given point (6,-5,-4)

Q: Use the table of frequently used Taylor series to find the sum of the series. 22 76 I 2².21 24.41…

A: Given: 1- π222.2!+π424.4!-π626.6+... To find: the sum of the given series

Q: The velocity function of a moving object is given by v(t) = 10 - 0.6t² m/s from t = 0 s to t = 3 s.…

A: According to question,Given Velocity,vt = 10-0.6 t2

Q: Let F = (e³ª, sinº x, cos² x). Calculate curl(F). curl(F) =

A: Given  F = e5y, sin9x, cos2x We have to calculate curlF.

Q: Use f(x) = log4(16x) and g(x) = 4* to answer the questions below. (a) Find f(g(x)) and simplify. x+2…

A: Given query is to perform indicated function operations.

Q: The rate of emission, E, in tonnes per year, of pollution from all factories in a certain country is…

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Q: 14. Determine the value of a. 0 b. 4 for y= x²(x² + 1)² when x = 1. Show your work. C. 12 d. 16

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Q: 4. What is the slope of the tangent to f(x)=√√x-1 at (5, 2)? c. 2 14 12 a. 1 b. 1 d. 4

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Q: 6 Find the particular antiderivative F(x) of f(x) = that satisfies F(1) = 5.

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Q: Use the graph shown to find the following (a) The domain and range of the function (b) The…

A: We need to interpret the graph.

Q: Find the magnitude of the cross product A x B for the vectors A = 3.0 + 4.0j and B = 21 Drawing a…

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Q: Find the general term of the sequence, starting with n= = 1. Determine whether the sequence…

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Q: p(x)=tan(x-Pi/3) need to know the stretching factor, period, and asymptotes

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx B) Write the equation for the…

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Q: Find the indicated partial derivative: Y Ə dy y + 2x = [

A: Given query is to find the partial derivative.

Q: Compute the values of dy and Ay for the function y = 4x + 2x given z = 0 and Az =dz = 0.02.

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Q: 4. Find the average value of f(x)=√√x over [-8,1].

A: Given query is to find the average value of function.

Q: The profit that the vendor makes per day by selling x pretzels is given by the function P(x) =…

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Q: 0 -3√/2 √√3 -2 Given g(x) = 0.5x4 + 4x, determine the x-value for the absolute minimum of the…

A: To find absolute minimum.

Q: The table below gives the value of a function f and its derivative f' at several values of x. x 0 1…

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Q: e. If cos y=x-y, then find dx

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Q: Consider the function f(x) = 5x² - 6x +9, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: ginen  f(x)=5x2-6x+9for critical points put f'(x)=0dxndx=nxn-1

Q: Determine whether the following series converges. Justify your answer. IM8 (4k)! k=1 (k!)4 Select…

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Q: The marginal profit, in dollars from drilling a well that is x feet deep is given by P'(x) = 3. Find…

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