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Q: Question * Let f be a given function. A graphical interpretation of the 3-point central difference…

A: The statement is true. see below the explanation

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x intercepts…

A: Solve the following

Q: cos vx cos(sinvx) dx

A: Given query is to find the value of the integral.

Q: "Definite Integrals" 1. sin | COS dr -

A:

Q: Find the following for the vectors u = 6i + 3j + /2k and v = - 6i – 3j – /2k. a. v•u, Įv], and Ju|…

A: We will solve the problem on vector dot product and projection.

Q: thế föllowing triangle. (bebaon as Boosla Iamiab A = 31° B= 29° C = 14 m Select the correct choice…

A:

Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. J 9x2+36dx 1 S- x In…

A:

Q: 1. When do find a volume by the slic (a) A type I region rotated abou (b) A type I region rotated…

A: Given question:- When do find a volume by the slicing method? Circle all that apply.

Q: Unless specified, all approximating rectangles are assumed to have the same width. The graph of the…

A:

Q: Evaluate the limit In(x) lim x+1 x2 - 19x+ 18 a. 1 19 O b. 19 C. 1 17 O d. None of these. е. —17

A:

Q: x +729 lim x+9 X-9

A:

Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: f (x+h)-(f(x) 7. In finding the limits of the difference quotient ,on what value does k approach? a)…

A:

Q: 4. Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x -1 X-1 a. Find lim f(x) or…

A: This question is related to limits, we will solve it using given information.

Q: The solid shown in figure consists of cone of radius (r) and height (h) and a hemisphere of radius…

A: Given : h(t) = 2t2-6 (cm)              r(t) = 8-t2 (cm)                t= 2 sec

Q: P(x) = 23x – a?. %3D

A:

Q: 7. Let f(x) - -ar + 9x -3. a. Determine thex-values where f"(x) = 0. b. Fill in the table below to…

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Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

A:

Q: [9]. Suppose that a ball is dropped from an initial height of 300 feet, and subsequently bounces…

A: The initial fall h=300 The first rise & fall 2*.9× 300 The 2nd rise & fall…

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

A:

Q: 18. Which of the following equations represents an ellipse with horizontal minor axis? A+ 16y - 16…

A:

Q: Let u = 7i- 3j, v= i-j, and w= i+j. Find scalars a and b such that u = av + bw. a = b=

A: We will find a and b

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: (1 - cosx) dx Evaluate: cosx(1 + cosx)

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Q: Evaluate: 2) x-In x dx

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Q: Step 2: Step 3: Sten 4:

A:

Q: Exercise 4 * Suppose the following data points are generated by a smooth function f(x): 1/6 1/3 1/2…

A: We have to find best approximation using the composite Simpson's rule.

Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: 3. Determine the balance A for $7,000 invested at a rate of 4.5% for 20 years, compounded a. Monthly…

A:

Q: In n Consider the series Verify that the hypotheses of the Integral Test hold, and n2 n=1 use the…

A:

Q: V. Let z be a function of r and y, and tan y2 + x2 = z*ey. Solve for dz dz and

A:

Q: Evaluate the limit In(x) lim x+1 x- 15x+ 14

A: Given,  limx→1ln(x)x2-15x+14

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = - 22k…

A:

Q: n Apply the Integral Test to the series E n=1 n²+1

A:

Q: 1. Consider A = (0,4, 2), B = (6,0,0) and C = (3,0,-1). %3D %3D (a) Find the unit vector in the same…

A: B-2A+C=<6,0,0>-2<0,4,2>+<3,0,-1>…

Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

A:

Q: 4. How much should be deposited in an account paying 7.5% interest compounded quarterly in order to…

A: Compound interest

Q: In the appropriate interval of convergence, we know that then we %3D 1. 1 can deduce, by applying…

A: We have to find to check the correct

Q: Describe the long run behavior of f(t) = 5t° – 5t% – 2t + 4 - - As t → 0, f(t) → ? v As t → 0, f(t)…

A: If degree of the polynomial f(x) is odd and leading coefficient is positive , then…

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x2 + 4y? slope…

A: Question- Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² +…

Q: S()ム 3/2 (a²

A: Explanation of the answer is as follows

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A:

Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: Write the composed trigonometric function sin (arctan x)sin (arctan x) in terms of x. Explain your…

A: In this question we have to find the function in terms of x.

Q: Eind. the. puse..

A: power series