Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (a)   x = y2 – 1 (b)   x2 – y2 – 4z2 = 4

Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-8 Select the correc...

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Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly repo...

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .  

Q: 2. Let E be the piece of the cone z = Va² + y² lying between z = 0 and z = 1, oriented with the 'out...

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Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point (1...

A: We have to find tangent plane equation and normal line.

Q: Given the triangle below, find the angle 0. 15 10

A: Given that:                          

Q: Compute the partial sums S2, S4, and S6. + 1.2 5 + 3. 4 + 2.3 S : S4 = II

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Q: If f(x) = 3 sin '(x°), then (2"). f'(x) -

A: Given: fx=3sin-1x5   We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 The deri...

Q: Find: Wx-Wy,Wxy Way, Wxx Wyy,Wz, Wzz Wzx, WZy Wyz, Wxz W= sinh (xy-2) %3D

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Q: (please show work) A baseball team plays in he stadium that holds 68000 spectators. With the ticket...

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Q: degree

A: We will find the equation. 

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Q: Let S = E a, be an infinite series such that SN = 3 - n=1 10 16 (a) What are the values of E an and ...

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Q: zeros of the function f(x) = 12x - 19x2 - 101x - 60. Enten ced by commas.

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Q: 2. Sketch the graph of f' given the graph of f. Explain how you found the answer. y 10- 9- 5- -10-9-...

A: The objective is to sketch the graph of f'.

Q: L = of €2.10 %3D 6

A: 1/6 of € 2.10 is

Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: Differentiate y= 5x+5 dx

A: Given query is to find the derivative of the expression.

Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 eY =x2 -y? %3D y' =] y'l(3....

A: topic - implicit differentiation

Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

Q: If s(t)represents the position of a function, in metres, at time t, in second what does the expressi...

A: s(t) represents the position then  limh→0s(3+h)-s(3)h represents the velocity at time t=3 seconds Co...

Q: For each of the following pairs of functions f and g, determine if the level curves of the functions...

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Q: Use the substitution method to find the power series representation of the function using the formul...

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Q: A cylinder has a height equal to its radius. Find the rate of change of volume V with respect to rad...

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Q: 2000 A television camera at ground levell is 2000 feet away from the launching pad of a space rocket...

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Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Sequence and series. 

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given query is to find series converges or diverges.

Q: Find the Taylor series at the given center. f (x) =x³- 5x, a=2

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Q: 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1 ...

A: The guven function,  f(x)=1x-1, x+2y+7=0

Q: (b) y = e-u cos(u) dy = -e"sin(u) – e"cos( u) os u

A: The given function,  y=e-u cos(u)

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ...

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Q: Find the Taylor series generated by f at x= a. f(x) = 2 X a = 1 Choose the correct answer for the Ta...

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Q: 1 1. Write the sum of the first four nonzero terms of the power series for - (Hint: 1- 2x 1 Use the ...

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Q: Suppose f(x)=x−4/x+1. Write an expression in terms of xx and hh that represents the average rate of ...

A: This question can be solved by applying the formula of average change in a closed interval.

Q: Test the series at the given values of x for convergence or divergence. (x+2)" Σ n=0 7" (3n + 1) • T...

A: Given the series is ∑n=0∞ (x+2)n7n (3n+1)

Q: Find and by implicit differentiation for y = sin y – x.

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

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Q: A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original qua...

A: We use radioactivity decay law 

Q: If f(x)=x, then f'(5) = (A) 0 (B) 5 (C) 1 25 (E) (D) 5

A: Topic:- derivatives   

Q: me limit below represents a derivative f'(a) Find f(r) and a lim h-0 (5 + h)² – 25 h. 10

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Q: f(x,y), where x = x(r,s, t), Use a tree diagram to write out the Chain Rule for u y = y(r,s,t).

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Q: Without using a calculator, find the exact value of each: i. sin-1(sin)) =

A: topic- inverse trigonometric functions sin(π+θ)=-sin(θ)sin-1(-x)=-sin-1(x)

Q: Let w = f(x, t) where a depends on r and t. That is, æ = x(r, t) and w = w(r, t) = f(x(r, t), t). As...

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Q: Derivation of a formula of volume cone (using Calculus, in two different ways).

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Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3 

Q: Find the linear approximation L(x) of the function f(x) = /1 - x at a = 0. L(x) = Use L(x) to approx...

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Q: 11. Verify that the conclusion of Clairaut's Theorem holds for the function: f(x, y) = e*Y sin(y)

A: The given function is: fx,y=exy siny To verify that the conclusion of Clairaut's theorem hold for th...

Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: Find the point (x,y), at which the graph of y = 6x + 6x - 5 has a horizontal tangent. 2 The function...

A: Topic = Derivative

Q: Use y - x(x - 5)2 and its derivative dy - 5x(x - 3)(x - 5) to find each of the following. 18 dx 18 F...

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