If h(x) = V5 + 4f(x), where f(1) = 5 and f'(1) = 2, find h'(1). h'(1) =

Q: The height of a projectile launched into the air is given by f(t) = - 16t + 220t +9, where t is the ...

A: Average rate of change

Q: Question 1 If T is a linear transformation such that T(1, 0, 0) = 2, T(0, 1, 0) = 3, and T(0, 0, 1) ...

A: A detailed solution given below.

Q: Consider the differential equation = kpl + c dt where k > 0 and c 2 0. In Section 3.1 we saw that in...

A:

Q: Which of the following is equivalent to tan 0(sec 0 – 1)(sec 0 + 1) for all values of 0 for which ta...

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x-1 x1 a. Find lim f(x) or state...

A: Function and table values are given, we have to find the limits at given points.

Q: For the Gp 20,5,1/4 find the common ratio N term Sum of the first 5 terms

A: Given: - The Gp is, 20,5,14 To find: - The common ratio N term sum of the first 5terms.

Q: = Homework: HW11--3.2 a. Find the derivative function f' for the function f. b. Find an equation of ...

A:

Q: A company produces a special new type of TV. The company has fixed costs of $452,000, and it costs $...

A: Given problem:- A company produces a special new type of TV. The company has fixed costs of $452,000...

Q: Evaluate the integral. VE (1 + t) dt /1

A:

Q: ne annual world consumption of silver is predicted to be 22.3e" thousand metric tons per year, where...

A: Consumption

Q: What is the general solution to the differential equation dx 8e4x 2 cos(2y) A 2 sin(2y) – 8e4r = C -...

A: topic - differential equations

Q: Suppose f is known to be differentiable and contains a local extremum at c, then which of the follow...

A:

Q: Graph the solution to the following inequality on the number line. -x-6x <5 Note that you can use th...

A: -x2-6x&lt;5Add x2+6x on both side,0&lt;x2+6x+5That is ,x2+6x+5&gt;0x2+5x+x+5&gt;0x(x+5)+1(x+5)&gt;0(...

Q: sin?A = 01- cos?A cos?A - 1 1+ cos?A

A:

Q: ,3 dx

A: we have to find the integral by parts.

Q: 10) du(3リ+3 4x + 5, 二 dx

A:

Q: For the given composite function, identify the inner function, u = g(x), and the outer function, y =...

A:

Q: Find the Maclaurin Series for the function f(x) = sinx

A:

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

A:

Q: 4. To evaluate the integral J 5x dx JOvio, which of the following formulas can be used? V9+x10 du = ...

A:

Q: P(x) = 20x – 0.5x? – 240. (A) Find the exact profit from the sale of the 26th machine. Exact Profit ...

A: topic - functions and derivatives

Q: For each graph, select all symmetries that apply. Graph 1 Graph 2 Graph 3 -2 Symmetry: Symmetry: Sym...

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V...

A:

Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the functio...

Q: (tan xI" =( Snx) by quekrent pule ; (SmxI" ( Cos al ex. by quotient rule: Cos x (Sinx) (Cos x) (Cos ...

A:

Q: Ek=1 (k+3)(k+4)

A: The objective is to solve the above series. 

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given b...

A:

Q: d'y dy 4+y =r²-21 +3 dt? dt

A: We will calculate CF and PI separately then we will add them.

Q: 1. When studying graph transformations, we have looked at two basic types: trans- lations and deform...

A:

Q: Which of the following is equivalent to csc B(sec B– 1)(sec ß+1) for all values of ß for which csc? ...

A: Topic = Trigonometry

Q: Evaluate the following limits: (a) limx→0 4x/sin 5x (b) limx→π sin( π/2)/5x (c) limx→0 sin3^3x/x^2ta...

A: a) limx→04xsin(5x)=45 b) limx→πsinπ25x =sinπ2limx→π15x                    = 015π limx→πsinπ25x = 0 c...

Q: 1. dx (9+ e2r)

A:

Q: Consider the second derivative graph, y = f"(x), %3D given below. Which of the following statements ...

A: Graph f''(x) is given, we have to find the concavity if the graph f(x).

Q: Determine whether the series converges. k + 4 Σ +7 k=1

A:

Q: exV – 1 Let g(x,y) (a, b) = (1,0). Show that lim g(x,y) does not exist. (x,V) - (a,b) %3D %3D x+y - ...

A: Firstly it should be proved that limit does not exists and then recognize the two limit values so th...

Q: The population of a city is 55,000. The city grows continuously by 2.4% per year. If this trend cont...

A: NOTE: Refresh your page if you can't see any equations. . the initial population is a=55000 and the ...

Q: F(x) =  x2 − 1 x ,  find the following. (a)     F    −  1 2

A:

Q: 17. Evaluate S sec x (secx + tan x) dx a. tan x + sec x + C b. tan x - sec x + C c. - tan x + sec x ...

A:

Q: Considering only the values of 0 for which cos Otan (-0)sec (–0) is defined, which of the following ...

A:

Q: a distance of 15 m from the pad, a man observes a helicopter taking off from a heliport. If the heli...

A: Given query is to find the rate of change distance between the man and helicopter.

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 20 integral ...

A:

Q: uate the limit of the function given the graph of the function. onsidered the graph of Function a.

A: Answering first two parts of the question as third part's context is not related to the graph. Given...

Q: 1 sec x sin x CSC X cos X tan x

A:

Q: In estimating | cos(4x)dx using Trapezoidal 1 and Simpson's rule with n = 6, we can estimate the err...

A:

Q: 7) dy x+2y x+zy e

A:

Q: he height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - ...

A: Given query is to find the velocity at given time.  

Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: If e = 3 10x find the reference angle 0'. Give only exact answers, and type pi for a if needed. Do N...

A: Topic = Trigonometry