Use the given graph of f(x) to answer the following questions. f(x) - 4 41 3 2- 1 -2- m a. From the list below, select all intervals on which f (x) is concave upward over the entire interval. x<0 02 1 < x < 5 X b. From the list below, select all intervals on which f (x) is concave downward over the entire interval. Ox>2 0

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 13 + sin(6πt),…

A:

Q: Find the distance from the point (-5,1,2) to the line a(t) = (-5,0, 3)t + (-7, 1, 5) -

A: According to question,Given Point : -5,1,2,Given Line : a⇀t = -5,0,-3t+-7,1,-5

Q: Which of the following vector fields are conservative? (i) F(x, y) = (8x7y7 + 3)i + (7x7y6 +9) j…

A: Check the each options for the given field is conservative or not.

Q: Find f. f(t): = 12t f"(t) = 3 9 √t' f(4) = 32, - 22t + 6 X f'(4) = 14

A: f''(t)=9tgiven  f(4)=32f'(4)=14∫xndx=xn+1n+1+c

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 7…

A: As we know that x = rcosθy = rsinθ

Q: 6) Differentiate y=2 cos (z) + 6cos¹ (z).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the average rate of change of the function over the given intervals. f(x) = 3x³ + 3; a) [4,6],…

A:

Q: Consider the following graph of the second derivative, f" (x), for some function f(x): f"(x) -6 -4…

A:

Q: (2). z=x² + y,k=-4,-1,0,1,4.

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y) (4, 5) Vf(4, 5) = x +…

A: Given function:- fx,y=x+5yy+1

Q: 23. What statement is not true? f(x) = #+3 if z>0 if a ≤ 0 a. limf(x) = 3 x →0* b. limf(x) = 0 _0个x

A: f(x)=x+3   if x&gt;0-x     if x≤0

Q: Find the distance between the skew lines r(t) = (5, 0, – 3)t + (− 8, 7, - 2) and p(s) =(2, 1, 4)s +…

A: I have done solution step by step in detail...go through the solution

Q: Suppose that f(x, y) = √√5² - x² - y² on the domain D = tr=5 O = {(x, y) | x² + y² ≤ 5²}. Q Then the…

A:

Q: Find m so that x-2 is a factor of 2x³-8x +mx+18.

A:

Q: Solve the given differential equation. ex² dy=x√/9-ydx Choose the correct answer below. =9-²+C 4 ○…

A:

Q: Fully factor and find all of the specific zeros of the function f(x)=2x4-9x³ + 6x² - 9x +4 Show your…

A:

Q: 5. (a) Find the parabola's vertex, focus, di i. (y + 2)2 = 8(x - 1)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 5. Determine if the following series converge conditionally, converge absolutely, or diverge.…

A: According to the guidelines,  I can answer maximum three subparts of a question. Since there are…

Q: Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = x²(x-12)5 f'(x) =…

A:

Q: 1. Determine the area bound by the following functions and double- check your answer.. y = 4x² + 1,…

A:

Q: Find intervals of concavity and any points of inflection for h(x) = x² − 3x² − 1 -

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: (a) 3 inches is what part of a foot? (b) 3 inches is what part of a yard? (c) 2 dimes is what part…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

A:

Q: r(t) Find a plane containing the line y(t) z(t) - 4x + 5y4z = 3 ww 3-5t -3-3t and orthogonal to the…

A:

Q: Find f'(x) and simplify. f(x) = 5x4 Inx

A:

Q: 2 -P Suppose the demand for a certain brand of a product is given by D(p) = 448 +200, where p is the…

A:

Q: Find a plane containing the point (-7,7,1) and the line of intersection of the planes - 3x - 3y + 6z…

A:

Q: 700 (p+1)³² For the demand function q = D(p) = a) The elasticity b) The elasticity at p = 1, stating…

A: The demand function is given as , q=Dp=700p+13

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloids y…

A: Given paraboloids : y=x2+z2  , y=32-x2-z2

Q: Use implicit differentiation to find the equation of the tangent line at the given point x² + y² =…

A:

Q: For the formula at the given point, find the equation of the tangent line 5. y=x²e at the point…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Use the limit definition of partial derivatives to find fx(x, y) and f(x, y) f(x, y) = x² - 2xy + y²…

A:

Q: Itranscript a. Determine whether the Mean Value Theorem applies to the function f(x) = In 16x on the…

A:

Q: 19. f(x) = sin²: x cos 2x, 0<x<T

A:

Q: (d) Write a formula for the inverse of the function in part (c). Explain its mean- ing, and use it…

A: We can solve it as follows

Q: Determine the intervals on which the function g(x) cosz+sin z on the interval [0, 27] is…

A:

Q: Express each decimal in expanded form and as a fraction. (a) 6.2 expanded form fraction (b) 0.25…

A:

Q: Find the average value of f over the given rectangle. f(x, y) = 3ey√√x + ey, R = [0, 10] × [0, 1] X…

A:

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: State the x-coordinates of the inflection points of the curve below. X = -6 X = -4 y X = 10 M.. 2 4…

A: Given graph of a curve.

Q: Find the equation of the curve for the given slope and point through which it passes. Use a graphing…

A: equation

Q: 6. Find the limit. Show your work algebraically. lim x48 (5 + 2/7)

A:

Q: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

A: The height (in feet) of a ball is launched in the air t seconds after it is launched is given​ by…

Q: Find the absolute extrema if they​ exist, as well as all values of x where they​ occur, for the…

A:

Q: Calculate the double integral. Sk [[[x sec²(y) dA, R = {(x, /1105x58,0sys X y) y) | ≤ ≤ ≤ R 2}

A:

Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

A:

Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

A:

Q: Find 2 1² 2 √²+ 3 1³+ f(x, y) dx and f(x, y) dx 3 nd [³ 0 f(x, y) = 3x + 3x²y² = f(x, y) dy = f(x,…

A: We have to find ∫02f(x,y)dx and ∫03f(x,y)dy. If f(x,y)=3x+3x2y2.