K For the piecewise function, find the values h(-9), h(1), h(S), and h(7) -5x-9, for x<-3 H() = 5, x+6, (-9)- for-3

Q: √t 12. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the…

A:

Q: Compute the average rate of change of the given function over the specified interval. f(x)=x^3,[6,7]

A: Given query is to find average rate of change for the interval [6,7].

Q: Use the graph to find the average rate of change. 5) Monthly Cellular Phone Charge in Dollars 80+…

A: To find average rate of change of given function through its graph.

Q: 1. The graph of f "(x) is continuous and decreasing with an x-intercept at x = -3. Which of the…

A:

Q: Recall the integration by parts formuala: Complete the following computation = [f(a)g'(x)dx =…

A:

Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: ASAP

A: Please refer to the image below

Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

A:

Q: - - Find the cross product (-2i - j + k) × (3i − j − k). Answer:

A:

Q: What is the range of the function shown? Y 1 1≤x≤3 1≤ y ≤3 -3 ≤x≤3 -3 ≤ y ≤ 3 I -2- 4

A:

Q: Define g(2) for the given function so that it is continuous at x = 2. 2x²-8 2x - 4 g(x)= Define g(2)…

A: We can find the correct answer in the below steps.

Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers /2…

A:

Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

A:

Q: 1. Solve the following initial value problems: (a) y' - 12 = 0, y(0) = 4

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: Find the domainof the function. Give the result in interval notation. f(x) = 7/1−2e^x

A: Given function f(x)=71-2ex

Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

A:

Q: What form of the particular solution is appropriate for the differential equationy" - y'=4?

A:

Q: Express the following functions in the form u+iv • f(z) = \n (1+z) P

A: Given function is: f(z)=ln(1+z) Let z=x+iy

Q: On the graph shown, what is f(2)? Y 000 -1 02 3 CJ 7 4 C-C x

A:

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

A:

Q: Evaluate the line integral F. dr where F = (3 sin x, 3 cos y, 10xz) and C is the path given by r(t)…

A:

Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

A:

Q: /1 Points] Let f(x) = DETAILS x + 19 3 if x 2 Compute each of the following values. 10 (a) f(-1) =…

A:

Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers…

A:

Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

A:

Q: Let F = 1xi + 5yj and let n be the outward unit normal vector to the positively oriented circle x² +…

A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

Q: Find the slope of the line through P and Q: P( – 2, 2) and Q( – 4, 5). -

A: Given query is to find the slpe of the line passing through P and Q.

Q: Complete the description of the piecewise function graphed below. -7 to -5 -4 /-3 { f(x) = { { 6 5 4…

A:

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: The following table shows the daily receipts in millions of dollars of the movie "avatar" for…

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

A:

Q: 6. Find the area of the region enclosed by the curves x = 3 - y² and x=y_+1.

A:

Q: Give an example of a function f(x) that is continuous for all values of x except x=2, where it has a…

A: We have to solve question with concept of removable discontinuity

Q: 2 2. f(x) = 5-x², (3,-4)

A:

Q: domain

A: Please refer to the image below

Q: Evaluate the following integral. 40x² x4-52x² +576 dx Find the partial fraction decomposition of the…

A:

Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy y -y xy…

A:

Q: 3) Prove that : tanz = 올n(부를) In

A:

Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

A:

Q: Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3,…

A: Given:- Find a vector parametric equation r⇀t for the line through the points P=4,-3,4 and Q=3,-6,2…

Q: In Exercises 1-8, find the domain D of the function. Give your answer in interval no X 1. f(x) = 3x³…

A:

Q: What is the general solution to the the differential equation3y" - y'- 2y = 10e *?

A:

Q: Solve the inequality involving absolute value. Enter the exact answer in interval notation. To enter…

A:

Q: Find the Average Rate of Change of the following function (That is, from t = 2 to t = 5.) over the…

A:

Q: Re-write the given equation in slope intercept form, give the slope and y-intercept, and graph the…

A:

Q: A cylindrical oil tank 8ft deep holds 380 gallons when filled to capacity. How many gallons remain…

A: We have to find the volume of tank.

Q: A sports franchise revenue can be modeled by the function R(t) = 337 + 8t. Their operating costs are…

A: Given data:- Revenue function R(t) = 337+8t Cost function C(t) = 245+20t

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: Let's find average velocity and instantaneous velocity.

Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

A:

Q: Find the domain of the rational function.

A: