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Q: Consider the following function. (If an answer does not exist, enter DNE.) 7 x2 f(x) = 1 + х (a) Fin...

A: A vertical line x = a is said to be the vertical asymptote of the cure y = f(x) if it satisfies the ...

Q: Q 9. (a) Find the inverse function of cosh(x). (Hint set z = e and invert that. Then replace e for z...

A: (a)Find the inverse function of cosh(x)

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A: Given trigonometric equation is,

Q: Differentiate the following function. y = (7 + sin(x))/(7x+cos(x))

A: Click to see the answer

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

A: Click to see the answer

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

A: The problem conerns applying chain rule by expressiong f(x) as a composite function f(x)=g(h(x)). We...

Q: Solve. (4^x)^2-2(4^x)-1=0

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

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

Q: see attachment

A: x-coordinate of the point is

Q: Find the derivative of the vector function ta x (b tc), where r(t) = (-1,1,-2) а %3 (-2,3, -1), ь 3 ...

A: Given vector function is,

Q: 1/4 using the Linear Approximation L(x) of f(x) x14 at a = 16 Approximate 181/4 (Use symbolic notati...

A: Click to see the answer

Q: Mary, Goran, and Trey sent a total of 66 text messages over their cell phones during the weekend. Go...

A: There are three people in the question.Let Mary be denoted by m, Goran by g and Trey by t.As per the...

Q: Approximate the integral from 2 to 14 (x2 -5)dx using 4 rectangles

A: To find the area under the curve using rectangles, the Reimann sum is used.First, we need to find th...

Q: Finding derivative.

A: Given function can be expressed as

Q: Find the derivative of.

A: To determine the derivative of the quotient

Q: Use a graph of to estimate the maximum and minimum values. Then find the exact values. Estimate t...

A: First, here we will use the graph of the function to estimate the maximum and minimum values.

Q: Problem 2 Parts 1, 2 , and 3 please

A: Given,

Q: When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past...

A: Differentiate F with respect to R to get

Q: The question says: "A pair of paraetric equations is given. a.) Sketch the curve represented by the ...

A: To sketch the graph, the points (x, y) are to be determined for different t values and then the poin...

Q: Find the derivative

A: To compute the derivative of the given function (involving exponentials)

Q: find f'(x) of (((3x^2+1)e^x^2)/(2x+1)^5)^5 using logaithmic differentiation.

A: The given function is,

Q: I am confused about parts C and D.

A: Given:Three-digit numbers:

Q: 3. For each of the functions below, find a formula for the inverse of f. ea (a) f(x) 1 2e* (b) f(x)I...

A: Part (a)y = ex/ (1 + 2ex)Hence, y(1 + 2ex) = exHence, y + 2y ex = exHence, ex = y / (1 – 2y)Hence, x...

Q: Solve the given system of differential equations by systematic elimination. Select all solutions to ...

A: To determine the solution of given differential equation.

Q: Suppose that f(5) = 1, f '(5) = 9, g(5) = −5, and g'(5) = 2. Find the following values. (a) (fg)'...

A: Click to see the answer

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: Given,

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: Use integration by parts to evaluate the integral. ∫425 √x lnx dx

A: The integral is given by

Q: An open-top bin is to be made from a 15-centimeter by a 40-centimeter piece of plastic by removing a...

A: Assume that side of square which should be cut from each corner is a.Given the dimension of piece of...

Q: Determine the equation of the tangent line to the given path at the specified value of t. (Enter you...

A: Given:Determine the equation of the tangent line to the given path at the specified value of t.

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: 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/...

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A: Answer: cos B= 5/13

Q: see attachment

A: Factor out 2.

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: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: Calculus Question

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: Let f(x)=ex2. It can be shown by direct computation that f(4)(x)≤76e on the interval [0, 1]. Using t...

A: Compute the first, second and third derivative of the given function as follows.

Q: If f(3) = 14 and f '(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

A: The given conditions are,

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

A: Given:

Q: Suppose a cylindrical can is being made to hold 1 liter of oil. Design the can so that the minimum a...

A: Let,

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

A: given function is

Q: Calculus Question

A: Obtain the derivative of function as follows:

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

A: To find the below double integral.

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 the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx; x=...

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

Q: sin ba +sin cxsin dx = 4 ar lim0 Find the Q 8. a, b, c, d are constants such that 3a2547x6 0.) value...

A: The given limit is,

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, an...

A: Let b and h denotes the base length and height of the box.