Find the tangent plane to the equation z = 4y cos(5x – 3y) at the point (3,5,20) z =

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Q: 9. √2 -5p dp

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A: The total cost (in hundreds of dollars) to produce x units of a product is Cx=2x-15x+8. To find the…

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A: Given figure:-

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A: Given: N(0) = 75 dNdt≤15 t have [ 0 , 5 ]

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A: given  u(t)=tant

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Q: Find dz ди Z = fan ( auf dz av as fn. of u and if ),X = u Cos V, y = usinv? (y)

A: Solution will be given below.     ∂z∂u =partial derivative of Z with respect to u ∂z∂v =partial…

Q: let y = x² +5, find dy/dx O none of these answers O 2x+5 2x O x²

A: Given query is to find derivative.

Q: 4) For what values of p will both series (D) < p < only Σ., and Σ(5) converge? (B) < p <5 only (E)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: 5. Find all the critical points of f(x) = e²x x² - 2

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Q: Evaluate the integral 24 [x³ (26 - 11) ²4 dr x5 by making the substitution u = x6 - 11. + C

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Q: Remainder Theorem 2. Determine the remainder when the function y = 2x5-7x4-13x3 - 5x² - 27x + 10 is…

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Q: Which of the following have the same meaning as "the derivative of fat x=5"? ƒ(5) - f(x) 5-x lim 0-x…

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Q: 35. y" - 2y"+y' = 2 - 24e* +40e³x, y(0) = 1, y'(0)=, y"(0) = −²

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Q: f g(s,t)=10s*e3st-7t^2 gs(s,t)=

A: Given g(s,t)=10se3st-7t2

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Q: Determine the limit and lim (x²-1) X-1 2 lin fixtal (२) X90 Lim √x³-1 X41 graph the follow

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Q: 2 yt Jy - 25 - 2 dx

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Q: 2) b) Consider the same region bounded by y = √√x, the x-axis, and the line x = 1 as shown. Draw a…

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Q: f(x) = f(x) = 122123124 , find f '(x) O 3/x4 O none of these answers O 1/x4 O-3x-4

A: Given:  fx=1x3 To Find: f'x=?

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Q: Evaluate the indefinite integral. cos (3x) sin³ (3x) dx =

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Q: 4. Let function f: R → R and function g: R → R be two functions for which f(g(x)) = x and g(f(x)) =…

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Q: Consider the following equation of a quadric surface. + 225 225 225 gaming 11

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Q: Consider the following matrix and vector: 1 0 A= -2 1-4 and x=₂ 0-3 6 Given that Ax-0 and x-1, find…

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Q: Determine all non-generators of Z21. Enter your answer as a comma-separated list.

A: Please see the below picture for detailed solution.

Q: π Find the absolute maximum and minimum of the function f(x,y) = (16x - 4x²) cos y on the…

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Q: Find the derivative of i) y = 3* ii) y = cosec 2x 1 iii) y = sin ¹4x

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Q: Use the matrices below. 7 6 - [14] D = F = 1 8 9 11

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Q: For the function f(x,y) = xexy, find fx and 1 fy. fx= 0

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Q: 3. Given the function f(x) = 2x² - 3x + 1. f(x+h)-f(x). Find the difference quotient, h a)

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Q: B2) What are all values of p for which the infinite series n' I an nºtl (1+²) (A) p > 1 (B)/p> 2 Ith…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Set up the partial fraction decomposition for indefinite integral S. ; dx 3 x²³ + 10x² + 3x +36…

A: Given integral,Let I = ∫x3 + 10x2 + 3x+16x-1x2+42

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Q: 3) 4 Σ(n+2=n+3) test: converges/diverges

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Q: y=3+1/x^2, compressed horizontally by a factor of 2

A: Given query is to apply the Indicated transformation.

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Q: 1. a) Differentiate g(t) = 2(t²-3t)-3/4

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Q: In (T-(Tin+ (pvc)) To-(Tin+()) + t (V) = 0

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Q: Determine the following limit. 2 196x +x lim X→-00 X

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