422+3r-2 Given z+1 determine y" 18 (z+1) (z+1) 2 (z+1) 10 (z+1)

Q: If f(x) cos-(2x+5) 2, then dom(f) = %3D a+3 (A) (–3, –2) (B) [-3, –2] (С) (-3, —2] (D) (–1,1) (E)…

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Q: 7 dx x² + 52 Integrate: + C

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Q: For the function f(X) = VX+1, find the Taylor series generated by f at x = 0. Choose the correct…

A: Here, using the binomial expansion: x+1=∑n=0∞12n xn...(1)

Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

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Q: The company can sell the item for $90,000 each. a) Write a cost function C(x) and a revenue function…

A: Given query is to find cost function, revenue function and profit function.

Q: dx 3-x

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Q: Use the function f and the given real number a to find (f -1)'(a). (Hint: See Example 5. If an…

A: Topic:- trigonometry and application of derivatives

Q: If x= tane, then cost do by trigonometric substitution. dr = (1+x2) ½ True B) False

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Q: Find the average value of the function over the indicated interval.   ​(B) Graph the function and…

A: To find the average value of the function,      fA=1b-a∫abf(x)dxWe have, f(x)=500-90x, a=0, b=2

Q: Verify the Divergence Theorem by evaluating F.N dS as a surface integral and as a triple integral.…

A: Here, using the Divergence Theorem, ∯F·Nds=∫∫∫v∇·Fdv Here, F=xy,z,x+y So, ∇·F=∂F∂x,∂F∂y,∂F∂z=y,0,0

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j +…

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Q: A spring with a natural length of 10 cm, is stretched by ½ cm by a 12 N force. Find the work done in…

A: Given query is to find the work done .

Q: Determine the vector field of F. F(x, y) = yi - xj

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Q: dy = 2 – y dx Find the correct direction field for the differential equation ノー\\ ババーと

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Q: Represent the following equations in R? by a vector-valued functions. Imet gaoglecomis shwing your n…

A: Given

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible: d.…

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Q: 4) Compare your answers

A: answer is in next step

Q: L( +3x – 4)dx

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Q: Find the third degree Taylor polynomial centered at 2 for the function f(x)=e²* + 3.x .

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Q: dx 2. o (x-1) 5

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Q: 0y-25 +y= 2メ+3 %3D

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Q: Find the foci of the hyperbola. 2-9y-90y-234 = 0

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Q: Given a function f(x, y) = In(9 – x² – y²). (a) Find and sketch the domain of the function. (b) Find…

A: Given function f(x,y)=ln(9-x2-y2 )

Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F)

A: WS have to solve the vector

Q: x2 + xy? lim (x,y)→(1,2) x4 + 2y2 or show that it does not exist. 2. (a) Evaluate the limit + xy? or…

A: We need to find limit.

Q: Find the particular solution determined by the given condition. f'(x) = x2/5 + x; f(1) = -6 f(x) = =…

A: We can find the particular solution as below.

Q: Solve the initial value problem y' = xe ; y(-1) = 3

A: We can solve the initial value problem as below.

Q: Evaluate. 1 6 x dx V16 +3x2 0. V19 A) B) 2/19 -8 C) V19 -4 - 2 D) -219 +8

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Q: Differentiate. 9. y e 10. y- e

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Q: (a) rªr- (b) y2 (c) e-4z+3e7z=3 ,71–3 (d) In(ez)

A: we have to simplify

Q: Below is a graph of f' (x), the derivative of f(x). A B D E F When is: f(x) greatest? f(x) least? f…

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Q: d f'(3).

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Q: Find an equation of the hyperbola having foci at (1, -7) and (1, 3) and vertices at (1, -5) and (1,…

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Q: Find div F and curl F if F(x, y, z) = 13y'z4i – 16x4z10j – 3xy'k. - - div F= curl F=

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Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of f(x) = 8x + 7 %3D…

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Q: ind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) 클리 - 5j + 6 (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: tó úsé co ór -0o, enter INFINITY or -INFINITY, respectively.) (-1)" + 1n! 1. 8. 15 ... (7n + 1) n =…

A: Solve the following

Q: lim (1+ sin(18a))/(2«) (A) e? (B) eº (C) e18 (D) ∞ (E) 1 we the question carefully edited 8:11 PM /

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Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V × (V × F) =

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Q: Find the Taylor series generated by f at x = a. f(x) = e*, a = 7 Choose the correct answer below. ki…

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Q: Find the area of the quadrilateral lot shown in the figure below to the nearest square foot. 130 ft…

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Q: x + 4 1. Evaluate dx. Vr2 + 8.x

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Q: V = f(x, y) = x²y ,x(t) = 2.

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Q: Find the work done in pushing a car a distance of 12 m while exerting a constant force of 300 N.

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Q: Question 5 Determine the derivative of the given function: y = (e + e)3 O y = 3(e- + e")² (e- + e")…

A: The derivative is given below.

Q: Find the total income produced by a continuous income stream in the first 5 years if the rate of…

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Q: Find the surface area of the part of the cone x2 + y = z between the planes z = 3 and z = 8. Express…

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Q: Q2: You have the matrix How can we get the transpose matrix

A: Given problem:-

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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