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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list. Round your answ...

A: The given logarithmic equation is ln (x – 6) + ln (x +7) = 1.

Q: If f(x) = exg(x), where g(0) = 5 and g'(0) = 2, find f '(0).

A: Consider the function f(x) = ex·g(x).we have g(0) = 5, g’(0) = 2To find the first derivative of f(x)...

Q: Consider the following. f(x) = x − 5 x2 − 25 ( Identify all intercepts. (If an answe...

A: Consider,

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

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 16.

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: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =x/(x2-x+4),...

A: Obtain the first derivative of the given function.

Q: Solve y ″ + 4 y ′ + 4 y = x e − 2 x + cos ( 2 x ) C

A: The given differential equation is

Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the ...

A: Given:

Q: #13

A: The given function is,

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: For a car with standard tires stopping on dry asphalt, its speed S (in mph) can be found from the le...

A: The absolute error can be computed as follows.

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: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: Evaluate the indefinite integral -3 tan (x) sec'(x) dx +C

A: Given,

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

A: Click to see the answer

Q: Find the derivative of.

A: To determine the derivative of the quotient

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

A: The given function is

Q: Find the derivative.

A: Given function is

Q: please answer b (answer marked wrong)

A: Using information from part (a) we see that at x= (1/10)ln(1/9) there is a local minimum.

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.

Q: In 1950 an experiment was done observing the time gaps between successive cars on the Arroyo Seco Fr...

A: Observe the given facts as follows.

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: Q 7. Is cos x| differentiable in (-oo, oo). If so find its derivative. If not, is it differentiable ...

A: Let us begin with plotting the graph for |cos x|.

Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: If an object is thrown upward at 128 feet per second from a height of 36 feet, its height S after t ...

A: Average velocity in first 4 seconds is

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: see attachment

A: Given:

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

A: The given function is

Q: 51 and 52 Find dy/de and d2y/dz2. For which values of t is the parametric curve concave upward? 51. ...

A: 52. The given parametric curve are

Q: Can you help me on #1

A: Distribute secx use 1/secx=cos xThen simplify.

Q: A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it...

A: Let length of the sides are x and y. And the middle fence is parallel to x side.So total fence neede...

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

A: To find critical points we set f'(x)=0 and solve for x. Answer(a): -5,5

Q: I am very confused about this chapter and specifically on how the homework is breaking the problems ...

A: Given sequence is

Q: Find the linear approximation to the function. x2 f(x + Δx) ≈ Evaluate it at the given va...

A: Click to see the answer

Q: Find the length of the curve 6t, t2, 13 0 st s1 r(t)

A: Given:

Q: Suppose the derivative of a function f is f'(x) = (x + 2)°(x - 4)5(x - 7)8. On what interval is f in...

A: Given,

Q: Between 2000 and 2010, the Phillips curve for the U.S. unemployment rate u and the Consumer Price In...

A: Differentiate I with respect to u

Q: Given function, find the inverse function Question The function f(x) 9/x-8+5 x> 8 has an inverse f()...

A: Write f(x)=y then switch x and y.

Q: A Graphs A and B are approximate graphs of f and f for f(x) x2 So f is increasing (and f is positive...

A: Using f(x)= x^2-2x+3 we find the f'(x).f'(x)= 2x-2

Q: Find and sketch the domain of the function

A: To identify the domain of the given function and to represent that region graphically (as a subset o...

Q: Find an equation of the tangent line to the curve y=8ln((x^3)-26) at the point (3,0).

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

Q: see attachment

A: Raise both sides to the power of 10

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: I need to find the answer using integration with polar coordinates.

A: Given:

Q: I need help with question 15 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: Using the identity

Q: Calculus Question

A: Given,

Q: Let f(x,y)= 6-3xy+x2 a) The function f has only one stationary point. Find it. b) Is the stationary ...

A: The given function is,

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 44...

A: Click to see the answer