2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

Q: Among all the points on the graph of z=7-x-y that lie above the plane x+3y+8z=D0, find the point…

A: Hee, the given surface is z=7-x2-y2 and the plane x+3y+8z=0 which passes through the origin. So, the…

Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the…

A: Let,  ϕ=-8cosπx+3x2y+exz+5yz-15∇ϕ=i∂ϕ∂x+j∂ϕ∂y+k∂ϕ∂z…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (14, 11, -6) Vw(14, 11, -6)…

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Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: 9x² = 164 -8y² + 36x + 64y

A: The given equation is: 9x2-8y2+36x+64y=164...(1)

Q: If the slope of the graph of f (same as slope of tangent line to graph of f), at the point (1, 2),…

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Q: @ d(uV)- udv +vdu V du-udv prove the following du O dlnu)= #an dhan'v)= dv

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Q: Find the minimum and maximum values of the function y = x-1 on the interval [1,6] by comparing…

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Q: sin u cos v

A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

Q: Write the radius of the circle x 2 + y 2 + 5x - 4y = 0. √(29) √(41) √(41)/2

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Q: To evaluate the integral xe2" da using integration by parts, the best choices for u and dv are: u =…

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Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

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Q: Find the expression of the general term of the sequence given by 3 5 7 9 11 1, 2'6' 24' 120 ' 720 2n…

A: The given sequence,      1,32,56,724,9120,11720

Q: Find the curvature of ƒ(x) = ln cos x, < x < 2 -- 2°

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Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

Q: sin x – e-* = 0, [0,1]

A: Secant method is used to approximate root of a function through an algorithm. It uses the concept of…

Q: (c) in the tank to a height of 1 m above its top. Give a definite integral that computes the total…

A: answer is in next step

Q: (d) 10*+3 = 62r

A: Given,  10x+3=62x

Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: Let ü = and v =. If üxi = then determine the value of 3A+B+C. Yanıt:

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Q: 2 2 3/2\2 x' + -14 - %3D 2

A: Given query is to write the equation in standard form.

Q: Find the average value fave of the function f on the given interval. f(x) = 18x – x², [0, 4] fave…

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Q: (Drag and drop the missing words) In the integral dx Va? we may use x= and dx= substitutions to…

A: We have to evaluate the integrals using substution method.

Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

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Q: 2. (6x -2) dy d2

A: In the given question we will use the formula for that double integration ∫x=pq∫y=rtfx,ydydx Where…

Q: which of the following option(s) contain only values of x for which the power series converges? Mark…

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Q: 1. Consider the curve defined by 9x2 – 16 y² +36x + 96y– 252 = 0. a) Write the equation of the curve…

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Q: (c) in the tank to a height of 1 m above its top. Do not evaluate the integral – just write it down.…

A: answer is in next step

Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

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Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

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Q: 2-Jx-3 b) lim 7-х

A: b) Let I=limx→72-x-37-x

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Given,            fx,y,z=xy+yz+xz , P8,9,-8 , v=16i+j-kTo find : Find the directional derivative of…

Q: (-1)"n²n! 2n n=1 IM³

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Q: Find x' for x(t) defined implicitly by x+t°x+t -8=0 and then evaluate x' at the point (-2,2).

A: x3+t3x+t4-8=0Differentiate w.r.t…

Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

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Q: 2) Zy? + X :0 + x -1 :0

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Q: dy Suppose 2e-2r and y(1) = 4. dx What is y(2)? O 3.117 O 3.567 O 4.117 O 4.135

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Q: Find the derivative of f(x) = log, (7x). (Use symbolic notation and fractions where needed.) df dx…

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Q: Use the Integral Test to determine if the series n2 n3 +1 n=2 converges or diverges. The series…

A: Explanation of the answer is as follows

Q: FindS( 3x* – 2x³ + 4x² – 5x + 2) dx -

A: Given; I=∫3x4-2x3+4x2-5x+2dx   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: h(7) = -2 h'(7) = 1 f-(2, –2) = 2 fy(2,…

A: Suppose z=fx, y, x=gt, and y=ht satisfy: g7=2, h7=-2, fx2, -2=2g'7=-3, h'7=1, fy2, -2=0By using the…

Q: Find the graph of the equation 4x 2 + y 2 = 4.

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Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

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Q: B. Solve for the integrals of the following: 3x2 dx -5 COS xesinx -dr c) ] 4 4x a) b) dx esin z

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Q: (5+9)4x - (xx) dg = o

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Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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Q: What are the foci of this conic section?

A: We have to find the foci of the given hyperbola.

Q: Use f(x) = 4x - 5 and g(x) = 3 - x to evaluate the expression. (a) f(g(0))= (b) g(f(0))=

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

Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: Find the solution of the following IVP using Laplace transforms given that f(0)=1 and f (0)=2: d…

A: