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Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of p...

A: Given,The printed area of the poster = 388 cm2.Let ‘x’ be the width of the printed poster.Let ‘y’ be...

Q: 1 on the interval [1,4], verify that f(x) satisfies the hypotheses of the Mean Value Theorem on For ...

A: To verify the hypotheses of the mean value theorem and find all numbers c that satisfy the conclusio...

Q: Find the maximum and minimum values of the function y = 4 cos(0) 7 sin(e) on the interval [0, 2x] by...

A: Compute the critical points as follows.

Q: The height (in feet) of a certain kind of tree is approximated by h(t)= 120/1+180e-.34t where t is t...

A: The height of a tree in feet as a function of time t in years is as follow:

Q: An oil drilling rig located 14 miles off of a straight coastline is to be connected by a pipeline to...

A: An oil drilling rig located 14 miles off of a straight coastline is to be connected by a pipeline to...

Q: see attachment

A: x-coordinate of the point is

Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one inp...

A: Click to see the answer

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

A: (a) From the given graph, it is observed that the graph is moving upward from –4 to –2 then decreasi...

Q: For the given cost function C(x)=28900+500x+x2 find:a) The marginal cost at the production level 135...

A: The marginal cost at the production level 1350 is C'(1350)Answer(a): 3200

Q: see attachment

A: For a function of the form y=A sin(B(x+C))+D, amplitude is A, period is 2pi/B,phase shift is C.So we...

Q: 64. Suppose that 3f(x)5 for all values of x. Show that 18 <f(8)- f(2) 30

A: We will make use of Mean Value Theorem. 3 ≤ f'(x) ≤ 5This implies:The function f(x) is continuous an...

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A: Click to see the answer

Q: Calculus Question

A: Given:

Q: Find the following indefinite integrals. X dx= Vx6 +C

A: Given,

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

A: Given: A rectangle inscribed in an equilateral triangle of side L assuming one side of the rectangle...

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: You have asked two unrelated questions in the same post. I will address all the sub parts of the fi...

Q: Evaluate the indefinite integral -10 sin (x) cos(x) dx +C

A: Given:

Q: Solve the IVP: y" - 5/ + 4y = 0, y(0) = -3, / (0) = 3 О у 3 Зе 6 y=-5e 2e 4 O y 2e4r 5е"

A: To find y=y(x) satisfying all the given conditions in the initial value problem

Q: Let f(x) = 2x3 + 12x2 + 65x − 44 Determine the interval(s) on which the graph of f is concave up and...

A: As a first step, let's find the second derivative of f(x)f(x) = 2x3 + 12x2 + 65x − 44 Recall the fam...

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

A: Given function is

Q: step by step on how to see if these functions are inverses to each other

A: Rewrite as follows.

Q: see attachment

A: Given:

Q: HW oct 23, 7og Name: Cisselle Washington Optimization problems Date: Period: A man launches his boat...

A: Let he rows to point C which is in the middle of B and D. Then he runs to B. Let C is x miles away f...

Q: My Notes At 8 P.M. an oil tanker traveling west in the ocean at 16 kilometers per hour passes t...

A: Oil tanker is at the origin at 8 pm travelling west at 16 kmh. So if we assume x axis to be pointed ...

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: cos(2 tan−1(x))

A: Given,

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: Help with my study guide please.

A: If limit of nth term of an infinite series un is not equal to 0 as n approaches infinity, then the s...

Q: Find the area of the surface generated when the curve f(x) = (2/3)x^(3/2) - (1/2)x^(1/2) ; [1,9] is ...

A: Given:

Q: see atta chment

A: Equation can be rewritten as

Q: Find the absolute extrema of the function on the interval [2, 3]. (Round your answers to the nearest...

A: The function is given by

Q: step by step please

A: Consider the given function.

Q: Find an equation of the tangent line to the graph of y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: To determine the equation of tangent line at given point.

Q: Given function, find the inverse function Question Find the inverse of the following function. -8x2-...

A: The given function is

Q: Find the derivative using the following information.

A: Equation of tangent to curve g(x) at x=2 is y=-3x+2. Its slope is m=-3. Since slope of tangent to cu...

Q: Find the derivative using the following information.

A: Given,

Q: Can you do question 21 and show the steps

A: the equation of line.

Q: Determine the shortest distance from the surface xy+3x+z2=12 to the origin.

A: Given surface equation is

Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round ...

A: In case of a radioactive decay, the amount x after time t is given by x(t)=x(0)e−kt where x(0) is t...

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

A: To determine:Part a) The intervals on which the function is increasing and decreasing.Part b) Points...

Q: Question 1 Parts 4, 5, and 6

A: Actual value of g(4.01)= 2.002498439Linear approximation= 2.00252.002498439 < 2.0025Actual value ...

Q: Evaluate the indefinite integral 1 sec (x) tan(x) dx +C

A: Given,

Q: 51 and 52 Find dy/da and d2y/dx. For which values of t is the parametric curve concave upward? 51. t...

A: Given,

Q: see attachment

A: Domain and range of sec(x) are

Q: Q 6. Find the derivative of (3x2-2x)2 using the product rule and the chain rule.

A: Click to see the answer

Q: 65. Two runners start a race at the same time and finish in a tie. Prove that at some time during th...

A: Click to see the answer

Q: see attachment

A: Graph the solution to the system of inequalities.

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: Use an Addition or Subtraction Formula to simplify the equation. sin(3θ) cos(θ) − cos(3θ) sin(θ) = 0...

A: Given expression;