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Q: = -3 and g'(x) = Suppose that we don't have a formula for g(x) but we know that g(1) Vx2 8 for all x...

A: Given:

Q: Find the arc length of the following curve on the given integral by integrating with respect to x. f...

A: Consider the given curve.

Q: Can you help with this problem step by step?

A: Given function is

Q: see attachment

A: Click to see the answer

Q: 1. Consider the function p(x) = C/1- x2 defined on [-1, 1] (a) Find a value C such that p(x) is a pr...

A: (a) The value of C is evaluated as follows.

Q: Find and sketch the domain of the function (included in the image)

A: Ans.

Q: Can you help me step by step?

A: Given: -

Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y=16-...

A: Please see the white board. The rectangle is represented by the green line.The inverted parabola is ...

Q: lo eTTIoprvars ruc, -too 42 3r (c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and...

A: Given

Q: please answer the questions provided in the image for the function: f(x) = 1 + (1/x) - (1/x^2)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Find h(-2) h(t)=t^2-4t+2

A: The given function, h is,

Q: find the absolute extrema for f(x) = x^2/3 (2-x) on [-1,2] please show all work

A: To calculate the critical extreme values for the given function over the given interval

Q: A rectangular tank with a square base, an open top, and a volume of 6912 ft^2 is to be constructed o...

A: Given tank is open at top.So, the surface area is,

Q: Please answer question d, for h(x) = 5x^3 - 3x^5

A: Using Wolfram alpha the graph of the function is as shown below

Q: The radius of a sphere wass measured to be 30 cm with a possible error of 0.5 cm. (a) Use differenti...

A: Click to see the answer

Q: For f(x) = −x2 − x, evaluate and simplify f(x + h) − f(x) h

A: To compute the difference quotient ( the given ratio) for the function f(x)

Q: Can you help me on #27

A: The series1/k2 converges. We compare given series to this series and use comparison test.

Q: Find all the x-values at which the critical points occur of the function f(x)- 5x3 19x + 10x on the ...

A: Consider the given function.

Q: Find all critical points of the function f(x) 3x + 12x + 11. (Use symbolic notation and fractions wh...

A: |2x + 1| = 2x + 1 if 2x + 1 ≥ 0 i.e. x ≥ -1/2|2x + 1| = -(2x + 1) if 2x + 1 < 0 i.e. x > -1/...

Q: A silo (base not included) is to be constructed in the form of a cylider surmounted by a hemisphere....

A: Click to see the answer

Q: Find the minimum and maximum values of the function y = (4t2) 1/s critical points and endpoints. on ...

A: Considering the function y = (t -4t2)1/5 in the interval [-1,3].

Q: Use partial fraction decomposition to evaluate the integral. ∫6x2-13x+3/x2(x-3) dx

A: Refer to the question we need to find the integration using partial fraction for the provided integr...

Q: The top of a ladder slides down a vertical wall at a rate of 0.25 m/s. At the moment when the bottom...

A: Given:

Q: Evaluate the definite integral from 0 to 1 of dt/sqr(t^2-6t+13)

A: Given integral is

Q: see attachment

A: Answer: cos B= 5/13

Q: Can you help with this problem step by step?

A: The problem is concerned with the critical points (maximum, minimum) of the given graph

Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side leng...

A: To determine the rectangle which give the maximum area under the given conditions

Q: Integrate (t^2)sin(4t) with respect to dt using integration by parts (IBP). Show all the steps inclu...

A: Click to see the answer

Q: please answer only question 24. The question and guidelines are provided in the images.

A: Result used:

Q: Calculate the double integrals 1. R xedxdy, R-[0,1]X[0,1]

A: To find the below double integral.

Q: Help with these problems please.

A: (a)

Q: The initial size of a particular substance is 75. After 3 hours the substance count is 4500. 6. Find...

A: We are given that the initial size of a particular substance is 75 and after 3 hours the substance c...

Q: 1 V25 81x2 xp +C WeBWorK notation for sin '(x) is arcsin(x) or asinx), for x) it's arctan(x) or atan...

A: Given,

Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the derivative of the function f(x)= e^-3x ln x

A: Given function is

Q: Can you help with this problem step by step?

A: You have asked a question with multiple sub parts. I will address the first three sub parts. Please ...

Q: Find the derivative

A: Given,

Q: dx Evaluate 256 289x2 dx 256-289x (Use C as an arbitrary constant.)

A: Substitute for x as follows.

Q: find the derivative 1).f(x)=X^3(X^4/3-1) ...

A: 1)

Q: Differentiate. y = (4-sec x)/tan x

A: Distribute tan x.1/tanx= cot x and secx/tanx= cscx

Q: Use the method of partial fraction decomposition to perform the required integration X3 dx (x-7)2 X+...

A: to given

Q: step by step please, i believe this is the compound interest formula

A: Given,The initial deposit (P) = $10000The account worth (A) = $15000The interest is compounded daily...

Q: This is the initial tableau of a linear programming problem. Solve by the simplex method. X1 X2 S1 S...

A: From the given table the optimal function and subject to the constraints are written as follows.

Q: 1 Q 2. Differentiate h(x) = (V+ -2 IX

A: The equation can be re written as,

Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. sin x 6...

A: Given integral is

Q: answer these questions using the function, f(x) = 1 +(7/x) - (6/x^2)

A: We need to find second derivative of f(x)

Q: Differentiate the function T(z) = 2z log2 z.

A: The given function is,

Q: Use integration by parts to evaluate the integral. ∫0π/3 5exsinx dx type an exact answer

A: Given, definite integration is

Q: Please answer question a, d, e, for this function: f(x) = 1 + (1/x) - (1/x^2)

A: The given function is

Q: Supoose that g is continuous on [0,3] and differentiable on (0,3). Assume also that g has five zeros...

A: Given:Suppose that g is continuous on [0,3] and differentiable on (0,3). Assume also that g has five...