Find the linear approximation of f(x) = sin x, for x close to 0

Q: of and dy of For the function f(x,y) = In (9x + 8y), find

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Q: Find the minimum and maximum values of the function y = 1613 + 2412 on [1,2] by comparing values at…

A: The given function y=16t3+24t2 on 1,2

Q: dy - cosec'x. cos x (i) By differentiating 6 show that if y = cot x then sinx' dr (ii) Show that x…

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Q: Divide 4x^4-3x+11x^2-x-1 by (4x+1)

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Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x* 1 g(x) = 4x + 1 (Express numbers in…

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Q: How much work W is done in lifting a 40-kg sandbag to a height of 4 m? (Use 9.8 m/s2 for g. Round…

A: Given:Mass  , m=40 kg Height , h=4 m Acceleration due to gravity , g=9.8mm/s2

Q: For the given functions, find (fo g)(x) and (go f)(x) and the domain of each. 1(x) = 9(x) = 1-8x

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Q: Onelogin - Section 104 Homework…

A: Given curve, r=2+3cosθ

Q: Evaluate the following limits for h(x) = { 1- 5z 120 (i) lim h(r) (ii) lim h(x) (ii) lim h(z)

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Q: Use a change of variables to find the indefinite integral. Check your work by differentiation. 1…

A: To integrate.

Q: RELATED RATES Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35…

A: Use rate of change concept

Q: ind the limit. 11 lim x x-1* /hat must be done to put the given expression in a form to which…

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Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.

Q: 9. -x² dx Choose the correct graph below. O A. O B.

A: Topic:- application of integration and geometry

Q: Find the slope of the tangent line to the curve 4x + lay- ly = 88 at the point (3, - 4).

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Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: 0Graph the following tu Pune

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: 10u +4 /ũ Find the most general antiderivative of f(u)

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Q: Given a, b e Z, 6 7 0, consider the following affirmations regarding Euclides's algorithm: i) There…

A: We want to choose the correct option.

Q: The sum 5 x) dx + -1, fx) dx can be written as a single integral in the form f(x) dx Determine a and…

A: Given query is to find the single integral fir the expression.

Q: / (22* + 3,/5 +) Calculate the indefinite integral: dz

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Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appre…

A: The given alternating series is: ∑n=1∞(-1)n+1n! Let, an=1n!

Q: 5. Determine the interval on which f(x) = x+2 is integrable. %3D (-00, 2) [-2, co0) (-00,-2) U (-2,…

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Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x>1

Q: Find the following: (a) Sum of the first 21 terms of the sequence: 5,9, 13, 17,...

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Identify the graph of the curve by first sketching the graph of r as a function of 0 in Cartesian…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

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Q: A car travels down a highway at 25 m/s. An observer stands 200 m from the highway. (a) How fast is…

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

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Q: The linear approximation at z = 0 to sin(8x) is A + Bx where A is: %3D and where Bis:

A: Given : The linear approximation at x=0 to sin(8x) is Ax + B   To Find : Value of A and B

Q: Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13…

A: Let, x be the number of food cartoons and y be the number of clothing cartoons. Then maximize…

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y and x =…

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Q: Evaluate the sum. Σ (-2) k 2 k=2

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Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

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Q: M The diagram shows the curve y = (x+ 1)e* and its maximum point M. (1) Find the x-coordinate of M.…

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Q: Let u = (3,-2), v = (-2,5), and w = (0,1). Express 10u-4v+w in the form (a,b). 10u-4v+ w= (Simplify…

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Q: Compute f(x)dx f(x) = { 2x if x 1

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Q: A cable that weighs 4 Ib/ft is used to lift 600 Ib of coal up a mine shaft 650 ft deep. Find the…

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Q: dr 15. (4 – 2²)3/2

A: Topic = Integration

Q: Match the graphs with the corresponding formulas. 1. Sn = 2 – 1/n 2. Sn = 2+1/n ? v 3. Sn = 2+…

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Q: Let F(x) = f(x*) and G(x) = (f(x))* . You also know that a' = 11, f(a) = 2, f'(a) = 2, f'(a*) = 11…

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Q: Find the minimum and maximum of the function y = z - 12005z on [-8, 8] by comparing values at the…

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Q: Find the radius of convergence, R, of the series. 00 (x - 5)" n = 1 R 3= Find the interval, I, of…

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Q: Tell if the piece-wise function is continuous on the given interval. Put a CHECK MARK AFTER the…

A: Given graph,

Q: Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is…

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Q: y10) f(x, у) %3D In x9

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Q: 1 dt 7+t+3t2 y =

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