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Q: Let h(r) =log2 (x - 3) + 1. a. Find the domain of h(x). b. Find the a-intercept of the graph of h(x)...

A: Given function is:

Q: 2ex/2 dx = 0 1 (e-1) 1 (e-1) e 1 2(e-) 4(e

A: Given:The integral is

Q: G(x) = ∫^1vx xt2 dt (1 is the number on top of the integral sign, x on the bottom)

A: Given integral is:Solving the indefinite integral: The antiderivative of a function of the form xn i...

Q: y′=−3x+9 Determine the particular solution to the differential equation that passes through the poin...

A: The given differential equation is y’ = –3x+9.

Q: How can I get the result? Which is the result?

A: Use online graphing calculator to graph of the function.

Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

A: The function is given by,

Q: Find the work required to move the object on the line segment. Please refer to attached image.

A: As a first step we need to parameterize the curve C. The curve has two points (1, 4, 1) and (4, 16, ...

Q: Calculate the area, in square units, bounded by g(x)=4x−2 and f(x)=5x−15 over the interval [−11,4]. ...

A: Area of region between g(x) and f(x) over the interval [–11,4] is computed as follows.

Q: How can I get the result? Which is the result?

A: We have to find following limits.Question is given below:

Q: Find the area of the region described. -4x and xIn 3 The region bounded by y e. ye X The area of the...

A: We first draw a rough sketch of y=e^x, y=e^-4x and x=ln 3And find the region bounded by them.

Q: Suppose that the revenue function for a certain product is given by R(x)= 15(2x+1)^-1 + 30x-15 wher...

A: We have to find (a) The marginal revenue when 2000 units are sold.(b) How is revenue changing when 2...

Q: Calculus Question

A: The given curve is,

Q: A theorem states that one local extremum implies an absolute extremum. Verify that the following fu...

A: The given function is,

Q: A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = -2 sin (pi...

A: To find the position function we integrate velocity function and use s(0)=2.Answer(A): Position func...

Q: I have trouble with second derivatives. I need help from my last step on please.

A: Given equations are,

Q: An important question about many functions concerns the existence and location of fixed points. A f...

A: Given functions are f(x) = 17x cos x and f(x)=x. We graph them first and find where do they meet on...

Q: 3 dx = 1 2x 8 In 국 5 -4 In 2 In을 -2 In -8 In LOn LOn

A: Obtain the value of the integral as follows.The given integral is,

Q: b) and c) I tried doing it the same way I did the first one...

A: we are given rate functions as

Q: what are the steps to solving |x-4| > 9

A: We have to solve the inequality.Inequality is given below:

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: How does the limiting behavior of solutions depend on the value of y(0)?

A: Given autonomus differential equation:Graph of function f is given.We need to show the the limiting ...

Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order yo...

A: We are given a function and a closed interval as

Q: 1. Given the function f(x) x-4x (a) Determine if the function x) defined on Theorem. If so, find the...

A: a) To check whether the given function satifies the Rolle\\\\\\'s theorem over the interval [0, 4] o...

Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: A company orders and uses 6,000 cans of paint each year. Each order has a fixed shipping cost of $15...

A: It is given that,The annual usage of paint cans is 6,000.The fixed shipping cost is $150.Additional ...

Q: How to convert percentage to ratio?

A: In this question we have to explain how to convert the percentage in fraction form.

Q: f(x)= 16x2-4x+2; x=1 (a) Find the derivative, by using the definition (b) Find the instantaneous rat...

A: (A) Found the derivative using the definition. Answer: f'(x)=32x-4

Q: Evaluate the following integral.

A: The given integral is,

Q: The beginning of the question is attached. How do I argue that f(x) is concave if and only if g(x)=...

A: A function is concave or ceonvex is defined by the sign of its double derivative.A function is conve...

Q: Help please..

A: The general Taylor series for ex at x = 0 is as follows.

Q: Help please..

A: We first calculate the value of cos x at x=0.5

Q: The number of miligrams x of a medication in the bloodstream t hours after a dose is taken can be mo...

A: we are given a function

Q: Calculate the directional derivative in the direction of v at the given point. fx, v)- tan Cy). -(1,...

A: The partial derivatives of f(x,y) at the point (x,y)=(5,2)are:

Q: Find the area of the following surface using a parametric description of the surface. The cap of t...

A: Consider the surface that is the cap of sphere:

Q: I need help for this.

A: (a) Use the ratio test and compute the interval of convergence as follows.

Q: 2.5 Continuity 3. We would like to find a value of k to make the piecewise function f(x) continuous ...

A: 3)Answer: a) If I was to graph f(x) then the left part of 3 is changed when k is changed. As the k i...

Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....

A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.

Q: Please help. Does the series below converge or diverge? Give a reason for your answer. (When checkin...

A: The given series is

Q: Use logarithmic differentiaion to evaluate f`(x) f(x) = (5x)^(ln 5x)

A: Click to see the answer

Q: If the marginal revenue(in dollars per unit) for a month is given by MR'= -0.006x+36, find the total...

A: The marginal revenue for a month is MR′ = -0.006x + 36.The total revenue from the production and sal...

Q: Let g(s)=(e^s)/s+1. Find g''(s).

A: At the outset, I want to spell out that the way you have written g(s), it can have one of the two in...

Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

A: Click to see the answer

Q: How do I solve the initial value problem using P(x), Q(x) and v(x)?

A: First we find P(t) and Q(t) by comparing with y\'+P(t)y=Q(t).

Q: Use a reference triangle in an appropriate quadrant to find the given angle.

A: The given equation is,

Q: Suppose that the cost funtion for a commodity is C(x)= 300+6x+1/20x^2 dollars (a) Find the marginal...

A: The given Cost function for a commodity is C(x) = 300 + 6x + (1/20)x2.(a) To find the marginal cost ...

Q: Which is the result?

A: We are given a function as

Q: Calculate the area, in square units, bounded above by f(x)=−2x2 −x−21 and below by g(x)=−x2 −12x+9.

A: Click to see the answer

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

Q: Do the domain of the following function:

A: Consider the provided function.

Q: How can I get the result? Which is the result?

A: Refer to the critical numbers of the function h(x) = sin2x+cosx, where 0<x<2piThe critical poi...