The tables below show some inputs and outputs of functions f and g. -8-5-1 1 5 12 2 -2 -10 -24 f(z) 16 10 -24-40 4 12 20 g(z) 19 4 1-2-8-14 N Evaluate. (fog)(12)=[

Q: Question Find the average rate of change of the function f(x) = −x² + 12x - 32 on the interval [3,…

A:

Q: Find the area of the region that is enclosed by the cardiod r = 10 — 10 sin 8. NOTE: Enter the exact…

A: Concept: The area of the region bounded by the cardioid is Area=∬Rrdθ

Q: The spread of a virus is modeled by V (t) = −t3 + t2 + 12t, where V (t) is the number of people (in…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: The function y = c₂ cos 4x + C₂ sin 4x Cz family of solutions two parameter of the second order…

A: The given solution is; y=c1cos4x+c2sin4x And condition is; y(pi)=5, y(pi/6)=10

Q: Assuming f and g are differentiable functions, determine f'(2) = -7, g(2) = 8, and g' (2) = 4. (A)…

A: Given that f and  g are differentiable functions and f2=5, f'2=-7, g2=8 and g'2=4 We have to find…

Q: Which of the following statements is false? AA function is not differentiable at x-a when it is…

A: NOTE: Refresh your page if you can't see any equations. . conditions for the differentiable…

Q: Let f(x)=√√3-x and g(x)=√x²-1 f Find O - 8 - and state its domain -(x) = √3-x

A: Given, f(x)=3-x  and  g(x) = x2-1 To find fgf(x)g(x) = 3-xx2-1

Q: Do Dice Play God? from Ian Stewart's Nature's Numbers. Explain your understanding and give some…

A: Not only does God definitely play dice, but He sometimes confuses us by throwing them where they…

Q: 2. Suppose that A and B are square matrices, not necessarily of the same dimension. Show that A 0…

A: Given that A and B are square matrices. Also dim(A) and dim(B) may or may not be equal

Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁= 3 and x₂ = 5.…

A:

Q: Evaluate the following integral for some constants 1 ‡ a > 0 and b. a. b. C. a-1 ab ln a 1-a ab In a…

A:

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A:

Q: Find f+g, f-g, fg, f/g. Determine the domain for each function as well. f(x)=3x/x-9, g(x)4/x+6

A:

Q: Find the arclength of the curve r(t) = (5t2, 2√5 t, lnt), for 1 ≤ t ≤ 10. L= Preview My Answers…

A:

Q: The graph of y = f(z) is shown in blue. Draw the graph of y = f(2), shown in red, by determining how…

A: Given Graph:-

Q: Velocity and Acceleration A brick becomes dislodged from the top of a building (at a height of 1,240…

A:

Q: The curve y = ax²+bx+c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: See this solution in below.

Q: Find the value(s) of k that makes the given function continuous. f(x) 1 √kx 3x + 15 if 0 < x < 3 if…

A:

Q: Tutorial Exercise Write the equation of the line that passes through the given point and has the…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy DNE (x,y) → (0, 0) 2 +

A: Solve the following

Q: f(t) = 18 h(t) = -2t Evaluate. f(h(-5))=[ Show Calculator Stuck? Review related articles/videos or…

A: Topic = Functions

Q: given f(x) = 3x2 + 2x + 11 and found f '(x) = 6x + 2.   (a) Find the instantaneous rate of change of…

A: Given f(x) = 3x2 +2x+11

Q: -10 -8 Challenge #7: Sketch the derivative of the function, h(x). T √ -6 -4 S -2 -6- 4 --2- 0 -2 -4.…

A: when x&lt;-2h(x) is constant

Q: Determine whether the graph represents y as a function of x. Explain your answer. (a) -2 y 4 2 4…

A:

Q: 13. 14. dy dx dy dx = = 2 x2 +4 3 x2 + x

A:

Q: 3. Let f(x) = (3x² + 1)2. Find f'(x) in 3 different ways by following the instructions below in…

A:

Q: 3.) The revenue equation (in billions of dollars) for corn production in the United States is…

A:

Q: Starting from the point (-3,-4, -1) reparametrize the curve in terms of arclength. r (t (s)) = i+ j+…

A:

Q: du Q2/ Find for u = eab sin-¹ q for u = əx at (x, y, z) = (3) Hint: sin dx sin x ¹x=√ eab sin-¹q…

A:

Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

A:

Q: 6x - 5 The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 5x+3 Find the…

A:

Q: Given f(x) = find f'(4) using the definition of a derivative. x-1 Provide your answer below: f'(4) =

A:

Q: Calculate (1/2 (2 (2t - 1)e³t dt.

A: Integrate ∫0122t-1e3tdt

Q: ( if The vector is À = 21+ ai k - Find The value of (a). perpendicular to the vector B. where. BE4i…

A:

Q: Question Find the value(s) of k that makes the given function continuous. 3 if x < k f(x) = { = {…

A:

Q: 3 22. Find f if f"(x) = 20x² + 12x² + 4 f(0) = -10₁ f(1) = 8 f(x)=

A:

Q: What is the constant term in the particular solution of the curve having y" O π-6 4 T-10 6+π 4 14+π…

A:

Q: The population of deer in a forest can be modeled by 630 +2960 P(x) = 3x + 8 where x is the number…

A: According to our guideline we are supposed to answer only the first 3 sub-parts of the question. If…

Q: Consider the following vector function. r(t) 1) = ( 76, 21-12², 12) (a) Find the unit tangent and…

A:

Q: / Suppose That The position Vector in = brî + (ct 9t²) îrok where be Vectors (₁) be constant. 9=…

A:

Q: If f(x) = x² + 2x + 1, find the following values (you do not need to simplify the expression): 1. f…

A: Given function, fx=x2+2x+1

Q: x y -[X]. if t Find A = x 6 [*][*][*] -1 2t 3 4 x+y z+t 3

A:

Q: choose the correct answer If you toss a coin 3 times, what is the probability of getting 2 tails and…

A:

Q: lim h0 lim 3 X x²) x + h) - h √x+h=√x

A:

Q: 4. Find for the equation 3y²-cosy = x³ 5. Find the equation of the tangent line that passes through…

A: I am attaching image so that you understand each and every step.

Q: Question Given f(x) = -4x³ - 3, use a table to estimate the slope of the tangent line to f at the…

A: Given function : f(x)=−4x3−3 at the point P (-2,29)

Q: c) g(t) = = 5t² 3 3 214

A:

Q: Question Find the points at which the following function is discontinuous. 6x²+1 f(x) = -5x -5 if x…

A:

Q: Compare the functions f(x) =x*7 and g(x) =e*x, When does the graph of g finally surpass the graph of…

A: Compare the functions f(x) =x*7 and g(x) =e*x, When does the graph of g finally surpass the graph of…

Q: Consider the function Compute fx(1, 2) and fy(1, 2) f(x, y) = 3x²y + 5x²y²

A: