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Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e8x) − 5x − ln(1)

A: Properties of natural logarithm.

Q: f(x+h)-f(x) Simplify the difference quotient for the given function. f(x) 4x2-5x+5

A: First find f(x+h).Replace x by x+h in f(x)=4x^2-5x+5

Q: EXAMPLE 4 If an object moves in a straight line with position function s f(t), then the average velo...

A: To fill in the blank value , applying Mean Value Theorem

Q: #9

A: To find: The limit exists or not.

Q: I am very confused on these two problems and I have homework due in 30 minutes.

A: Both problems concern finding deriviatives of functions ,using standard rules of differentiation

Q: What are the coordinates used to evaluate the following problem and how are they found?

A: Given that D is a region that lies below the sphere and above a cone.

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: Consider the sequence 4, 11, 18, 25, 32, .... a. Is 340 a member of the sequence? b. Is 738 a member...

A: It can be observed that the given sequence has a constant difference of 7 between the successive ter...

Q: Find the volume of the solid created by rotating the region bounded by y = sinh x, y = cosh x, x = 0...

A: Sketch of the region:

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

A: Given: -

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

A: The given function is

Q: The number of children under 18 living in households headed by a grandparent can be modeled as p(t) ...

A: Consider the given information:

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A: Given figure is

Q: indefinite integral of x3 dx

A: Click to see the answer

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

A: Given:

Q: Hospitals use radioactive tracers in many medical tests. After the tracer is used, it must be stored...

A: The proportion of radioactivity remaining after t days is given by,

Q: Calculate dy/dx Simplify your answer. y = x3(8 − x2) dy/dx=

A: Product rule:

Q: 1 and e is in Quadrant III, find tan(0) cot(0) 3 If cos(e) csc(e)

A: Given,

Q: Find the partial derivatives, fx and fy, for f(x, y) = 2x + 3y/x^2y + 1

A: The given function in terms of x and y is

Q: Determine the intervals on which the following function is concave up or concave down. Identify any ...

A: Find first derivative using product rule and chain rule.

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2t.) (a) (4, -4, 5) (42, ...

A: a). Given rectangular coordinates are

Q: Use the definition if the derivative to find dy/dx for the function y=1+×/3x

A: To determine the derivative of given function by using the definition.

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

A: Given integral is

Q: Can I get help with this problem step by step?

A: Given:

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

A: Click to see the answer

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V= 40 , 9

A: We use the magnitude formula with a=40 and b=9Answer: Magnitude = 41

Q: 4+3t t 130000 6-t Find Notes: Enter "DNE" if limit Does Not Exist (a) lim g(t) 1 t->-oo (b) lim g(t...

A: Given function is

Q: Consider the parametric equations below.x = 4t - 3y = 3t + 1(b) Eliminate the parameter to find a Ca...

A: From the equation for x, write t in terms of x.

Q: If f(x) = 9ex cos(x), find f '(x) and f ''(x).

A: Used product rule to find f'(x)Answer: 9(e^x)cos(x)-9(e^x)sin(x)

Q: Optimization: A family wants to build a fence in their backyard for their dogs. If they can only aff...

A: Click to see the answer

Q: For what values of x is the graph of y=xe^(−2x) concave down?

A: Find first derivative using product rule and chain rule.

Q: h9HXth*x f3.1) he mt itextsS St ,2)

A: Given:

Q: a) Why doesn’t the idea of “any number minus itself is 0” apply to the situation of ∞ − ∞? (b) Expla...

A: Refer to the questions , we need to give explanation to the provided questions of (a), (b) and (c).

Q: Finding a Polynomial Find a third degree polynomia p(x) that is tangent to the line y = 14x - 13 at ...

A: Let p(x) = ax^3 + bx^2 + cx + dThis passes through (1,1) and (-1,-3) . For (1,1), x=1 and y=1. For ...

Q: Find the absolute minimum and absolute maximum values of f on the given interval 2sin2t after differ...

A: Given function is

Q: A. Find K given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence. B. Write do...

A: Given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence.

Q: for this problem in the answer it says, cos^-1 (1/2)= pi/3,-pi/3. Why is that? Why did they go count...

A: According to question

Q: The radioactive isotope potassium-40 is used to date very old remains. The proportion of potassium-4...

A: Consider the proportion of potassium –40 which is remains after t million years as,

Q: Questions 19

A: Given:

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

A: The pair of equations has a common parameter t in them. Use the second expression to express t in te...

Q: 7 If sin(0) 7 find sec(e) 24 and tan(0) 25

A: From the given information:

Q: I need help with question 39 in Section 4.1, page 284, of the James Stewart Calculus Eighth Edition ...

A: At first let us find the derivative of the function:

Q: Differentiate. y = 4x/(7-cot(x))

A: Recall the following fact.

Q: Can you please do problem 3.

A: Let the number of Euros be represented by e and pounds by p.Given each euro is $1.20 and pound is $1...

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

A: Given:

Q: Find the complementary and supplementary angles. 25°28'39"

A: Given angle

Q: Find the arclength of the curve r(t)=⟨7sint,9t,7cost⟩ −2≤t≤2

A: According to the given information the given curve is:

Q: Find the derivative of the function. y = cos(sqrt(sin(tan(9x))))

A: Compute the derivative of the given function as follows.

Q: Suppose we want to know the area of a region that is bounded by the graph of F(X)=1/2x+2 and the x-a...

A: Consider the given curves.

Q: Evaluate the integral 6 dx (x+1) (x2+4)

A: Given,