2. Determine whether the series n Σ» (-1) (3) converges or diverges. If it converges, find the sum.

Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

Q: Let f(x) = 2x³ + x²-x+3 on the interval [-1.5, 5]. Use calculus and algebra to justify all answers.…

A: The given polynomial function is  on the interval .

Q: 140 -x³ to answer the questions below. 3 3 747x4 tical numbers of f(x)? x = - l(s) is f(x)…

A:

Q: question e,f

A:

Q: Suppose that 4x²+ 10 x+ 10 < g(x) < 4x²-3x+10 for all 0. Compute the exact value of lim g(x) x-0

A: finding the limit

Q: (b) Suppose that f(x) = 2x^2 − x^4 . Find the intervals on which f is increasing and those on which…

A: Question no. (b):Suppose that To find the intervals on which is increasing and those on which it is…

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A: Given curve:Unit tangent vector is given by,Therefore,

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A: The given parametric equations

Q: The magnitude of the vector (3, -2, 4) is 29. Select one: O True O False

A: The given statement "The magnitude of the vector  is "

Q: Solve the exact initial value problem 3y² dx + + (³1²575 2²2 + √²4) · + √2y) dy = 0, y(0) = 2, y5 X…

A:

Q: Evaluate the integral. +C 2x + 9 x² + 6x +34 17 -da

A:

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. dy dx…

A: To find:-

Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: Exercise: 1) fx²e-3x dx 2) f x² Inxdx 3) sin3x cos4x dx

A: Given integral

Q: Given that f(x)=√√16-x² and g(x)=x+4, what is the rule and domain for (+)(x)₂ Only one item from the…

A: Given,

Q: What is the unit tangent vector T(t) on the curve r(t) = (cos(t), 3t, 2 cos (2t)) when t = 0? Select…

A:

Q: Find fx fy and f, and evaluate each at the given point. f(x, y, z) = xy x+y+z (3, 1,-1) fx(x, y, z)…

A: The given function is

Q: Labor. Refer to Table 4. (A) Find the average rate of change of weekly hours from 1980 to 1990.…

A:

Q: Solve the second order. Dieg - Ý - ý syes 1 39

A:

Q: (b) Isolate дет 11 2x 5 = 1/2gt²2² + vt

A: To isolate  in the following equation.

Q: 1. If y2 = 10x, then A. - 5 2xy 1 C. -2232 2x d² y dx2 = B. D. - 1 5x 2y 5xy 2

A: Given,

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: 1 Ifh (r) = e*, then h' (r) =? 04 x O(z) = _ r2

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 5 r…

A: r=5θ,π2≤θ≤2π

Q: taman X Find dimensions of rectangular fenceline that uses the least amount of material and will…

A:

Q: Consider the following differential equation to be solved by the method of unde y" + 2y = -18x²e2x…

A:

Q: (2) Solve the given homogeneous equation by the appropriate substitution y dx (x + y) dy = 0. - You…

A:

Q: 1 Let f(0)= sin(0) + cos(0). √√3 Calculate the derivative. [Note: to get the to show up type theta,…

A: Consider the function

Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

A:

Q: The magnitude of the vector (5,-2, 3) is √/38. Select one: O True O False

A: Given vector is: Let vector

Q: how much must be deposited now? The interest rate is 9%, compounded

A:

Q: Find an equation of the tangent line to the curve at each given point. x=2-3 cos 6, y = 3 + 2 sin 8…

A:

Q: Consider the function graphed to the right. Make sure to use the union symbol, U if needed. The…

A:

Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: Find the lines that are tangent to the curve y=sin(pi*x/2) at x=1

A:

Q: If C(x) is the cost of manufacturing an amount x of a given product and $10 is the price per unit…

A:

Q: describe what you would have to do to your graph of f(x) to sketch g(x)= (x+1)^2-4(x+1)+3

A: The given function is .The aim is to describe how to sketch the graph of the function using the…

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

Q: Minimize Q=2x² +2y², where x+y=4. X = *-8 y = HE (Simplify your answer. Type an exact answer, using…

A:

Q: Answer the following questions for the function f(x)=x√x² + 36 defined on the interval -4 ≤ x ≤7.…

A:

Q: The table below gives the velocity of a runner at half- second intervals during the first three…

A: Given the table below gives the velocity of a runner at half-second intervals during the first three…

Q: (1) (2 cos y + 4x²)dx = xsin ydy

A: given differential equation

Q: Determine the inverse Laplace transform: F(s) = 4/s2 - 5/(s + 1)

A: To determine the inverse Laplace transform.

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the…

A:

Q: Find the indicated trapezoid approximations to the following integral. 18 [9x² 9x dx using n = 2, 4,…

A: Consider the given information.

Q: Show that the functions are linearly dependent on the real number line: y1 = 17; y2 = 3cos2x; y3 =…

A: The given functions are  and .The objective is to show that the functions are linearly dependent on…

Q: Help determine the difference quotient and for f(x)=x^2+4

A: Given,. Difference quotient=

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 1;…

A: Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree 5 ; zeros: 1…

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. :

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: