Find the local linear approximation L (x) of the function f(x) = 5 – x² at =2.

Q: Question Suppose f is continuous on [3, 10] and differentiable on (3, 10). If 5 <f'(x) < 8 for all…

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Q: power line is to be run to an offshore facility as shown in the figure above. The offshore facility…

A: Solution: Cost function C(x) = 50000(8-x) +x2+1(80000)

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: Evaluate the triple integral. Then, on your paper, sketch the solid whose volume is expressed by…

A: We can solve as follows

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: To rewrite the integral ∫010∫031-z10∫071-y3-z10 dx dy dz in the order dz dy dx

Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: This is a function problem

Q: The equation y2(y² – 4) = x²(x² - 5) is known as the devil's curve. Give an equation for the tangent…

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Q: Find the derivativo of the following . Simplify the answer t #o (Rationalize the denonina tor in…

A: derivative

Q: The function values f(x) in the table below is increasing for 0 < x< 12. 0 369 12 f(x) 34 35 37 42…

A: (A)  RIGHT HAND SUM   when ∆x=3     then n=12-03=4 The four subintervals are[0,3]   ,   [3,6]  ,…

Q: The continuous function g is negative and has domain x > 0. If the asymptotes of the graph of g are…

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Q: Eveluete Khe definde lategal 3 In C) doc

A: To evaluate the integral.

Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

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Q: By the Fundame 2+x? dx. 1

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=21-22, x-axis, y-axis and y=20 revolved about y-axis.

Q: dy 3. Find of the following equations: dx b. xy = 2x?y – 8x

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Q: Derivative of f(t) = 8^t[(2t+1)^2+t] using Chain Rule

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Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

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Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: Find the equilibrium point for a product D(a) = 50 4x and S(r) =15 + 5x Round only final answers to…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: The terminal point is 2.15, -1.94

Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: A conical surface is defined as 0 = 30°,0 < y< 2n,0<r< 2, the lateral surface area is what?

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Q: (2 1 Q2) find eigenvalue eigenvector of A x(0,0) = (1,1)

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Q: 200 D(r)

A: answer is in next step

Q: Find the consumer's and producer's surplus if for a product D(x) = 16 0.006z and S(r) = 0.003r2…

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Q: 2. Which of the following is not an ordered field? Q=(all rationals) R=(all reals) S=(all…

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Q: Find the limit. lim (t i – 3 j + t² k) t→8 Exact number, no tolerance. lim (1 i– 3 j+? k) i+ i j+ i…

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Q: Let C be the parametric curve defined by x(t) = t2 – 2, y(t) = t³ – 3t + 1. Determine if C is…

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Q: Evaluate the line integral Vo dr for the following function o and oriented curve C (a) using a…

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Q: Given f(x): find the average rate of change of f(x) on the interval 8, 8+ h. Your answer x + 8 will…

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Q: Use power series to show that sinh(z) + cosh(x)= e".

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Q: So r dr do

A: Follow the procedure given below.

Q: y' = xy – Vx

A: Solving

Q: Question Approximate the local minimum value of the function given below. Use Newton's method with…

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Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: Answer is given

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find k(t). r(t) = t²i + t5j 390 t14 K(t) = 3…

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Q: In(x² + 1)dx

A: We can solve the integration as below.

Q: The function values f(x) in the table below is increasing for 0Sx< 12. 0 369 12 f(x) 34 35 37 4244…

A: (A)∆x=3Then right hand sum =∆x(f(3)+f(6)+f(9)+f(12))                                =3(35+37+42+44)…

Q: 35. Evaluate |Jxe' dA; where R is the region bounded by y =x, y=0, and x= 1. A) 0.2 C) 0.4 B) 0.5 D)…

A: Region R is bounded by  y= x , y=0  and  x=1

Q: When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the…

A: we have to find equation of motion .

Q: Question 9 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+ y…

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Q: Danielle is skiing along a circular ski trail that has a radius 3.5 km long. She starts at the…

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Q: 38. Determine the integrating factor of the linear differential equation y' - (1 + tanx)y = e cos'x.…

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Q: 1. Find the derivative of the following: (Simplify your final answers.)

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Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

A: We have to find the derivative of the given function.

Q: 3. Write an equation for each function graphed below (they are transformations of familiar…

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