Use the given information to find f '(2). g(2)  =  5   and   g'(2)  =  −3 h(2)  =  −1 and h'(2)  =  2 f(x) =  g(x) h(x)  f '(2) =

Q: Question Select your answer. Find the derivative of f(x) = 5/x with respect to r. 2x 5 Answer

A: Given :f(x)=5xf(x)=x2+5x 

Q: Determine whether the seies is Convergent test that you Use. divergent.write the exact or

A:

Q: (-1)"+l2nx" n2 +3 Determine the interval of convergence of n=1

A:

Q: determine whether the sequence {√ n+2 - √ n+1} is convergent or divergent

A:

Q: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in ...

A:

Q: The slope of the tangent line to the parabola y = 2x + 2x + 6 at the point (- 1, 6) is: The equation...

A: The slope of the tangent line to the parabola                      y = 2x2 + 2x + 6 at the point (-1...

Q: Use the Chain Rule to show that if 0 is measured in degrees, then d (sin 0) = de TT cos 0 180

A:

Q: Question Select your answer. x + 2 Find the derivative of f(x) = with respect to x. 3x 2 9x 2x – 6 9...

A: Solution:

Q: C: Proof that (Answer one only) S a)L (cos?t- sin²t) : %3D s2 + 36

A:

Q: Find any horizontal and vertical asymptotes for the function. (Enter your answers as a comma-separat...

A: Given y=x+1x2-16 We have to find horizontal and vertical asymptotes.

Q: Find the point(s), if any, at which the graph of f has a horizontal tangent line. f(x) =  x2 x − 5 s...

A: We have to find the point at which the graph of f has horizontally tangent line

Q: Use the formula for S, to find the sum of the first four terms of the following geometric sequence. ...

A: Explained below 

Q: +00 2" Use an appropriate test to determine if the series converges or diverges. n+ en n=1

A: Here we have to use appropriate tests to determine if the series ∑n=1∞2nn+en converges or diverges. ...

Q: The parallelogram ORSTIS formed by the vectors OR = (2, -1, 4) and os = (3, -2, 1). A line is drawn ...

A: We need to determine length of RA.

Q: Mary needs to borrow $10,000. She can borrow the money at 6% simple interest for 5 yr or she can bor...

A:

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: We need to evaluate volume.

Q: How many items are demanded at a price of $30?

A:

Q: Use the second partial derivative to Find the relative extrema OF the Function f (x, y) = x°t 2xy-6x...

A:

Q: 1.) The cost C of a product is a function of the quantity x of the product: C(x) = x² – 4000x + 50. ...

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: Find the unit vector in the direction of the given vector a, and express it using standard unit vect...

A:

Q: 7. Read about the Integral Test in Section 11.3 and, specifically, through example 2 to see how the ...

A: Given problem:-

Q: Question Select your answer. What is the equation of the tangent line to the function 1 y = 2 1 I + ...

A: slop, and tangent line

Q: Question Select your answer. What is the slope of the tangent line to the function -2 f(x) = at the ...

A:

Q: The graph shows the contour map of seawater density p(S,T) (kilograms per cubic meter) as a function...

A: solution

Q: 21 Solve the equation on the interval [0,27]. sin20 + sin0 = 0

A: Given query is to find the solution of the trigonometric expression.

Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and ...

A:

Q: dy da

A: Implicit differentiation : when you have both terms x and y in an equation differentiating the equat...

Q: c) lim d) lim x→0 tan 3x Зх -5

A:

Q: Solve the following equation on the interval [0,2) a. V3cosecsce = 2cos0 11. b. 2 sin2 x - 7sinx + 3...

A: a) 3 cosθ cscθ=2 cosθb) 2sin2x-7sinx+3=0

Q: 茂 cos x dx = 0 COS Select one: O True O False

A: This question is related to definite integration, we will solve it using given information. 

Q: dy given the equation z + y° = e. dr Use implicit differentiation to determine dy dx > Next Question

A: Given query is to find the derivative of the expression.

Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

A:

Q: (금) +00 Σ -3 - n el-n n=1 convergent divergent

A:

Q: Find the vertical asymptotes of the rational function. g(x) = 5x x +6 x = -6 x = 5 x = 6 none

A:

Q: You have been given the following parametric curve x = 4:4 + 3:2 + 1, y= 213 – 2t It has two tangent...

A:

Q: 2x² +3 dx x(x – x(х — 1)2

A: Find your answer below 

Q: 2х-1 dx 3 A 2x– 1) 2 1 -(2x- 1)2 + C 3 1 (B) (2x- 1)2 + 등(2x-1)2 + C 10 3 (2x-1)2 + 10 (2x-1)2 + C 3...

A:

Q: Use the given graphs to sketch the parametric curve x=f(t), y= g (t). x=f(t) y =g(t) 2 2 -1 2 -2 -1 ...

A:

Q: a The value of an investment account has a doubling time of 13 years and $35,000 was originally depo...

A:

Q: z(z² – 1) -dz z2 + 1 1 ²-In(z² + 1) + C A B z² + In(z² + 1) + C 글(22+ 1)2+C (D) z² + (z² +

A:

Q: The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. O a. 44.8 m...

A:

Q: Suppose that a population grows according to the unlimited growth model described by the differentia...

A: Question: Suppose that size of the population grows according to the unlimited growth model describe...

Q: Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decre...

A: Let's find. 

Q: 3 A bicycle wheel rotates 400 times per minute. If the rider removes his feet from the pedals, the w...

A: The objective is to find how many times the wheel will rotate in the eighth minute.

Q: 6. Let a be a real number.

A:

Q: Use the formula for the sum of the first n terms of a geometric sequence to evaluate the following s...

A:

Q: Which of these sums give the approximation to the area under the curve of y =Vx+1 and between x = -1...

A: The area under the curve y=x+1 between x=-1 and x=0 using 3 rectangles and right endpoints.

Q: The isotope of plutonium 238. Pu is used to make thermoelectric power sources for spacecraft. Suppos...

A:

Q: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

A: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

Q: Question Select your answer. Given f(x) 1 and a = -3, find f'(a). 1 1 9. 1 1 9 Answer

A: We have given function  fx=-5x+4x2 f'x=ddxfx f'x=-5dxdx+4ddxx2 f'x=-5+42x f'x=-5+8x Put x=2 f'2=-5+8...