Find all of the critical numbers of the function g(0) = sin 0 in the interval (0, 37). (a) r = #/2, 7, 37/2,27 (ь) х — п/2, 3я/2,5я /2, 7т /2 (c) r = 37/2 (d) r = #/2, 7, 37/2, 27, 57/2 (e) none of the above

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A:

Q: Solve and check the linear equation. 25 - 3 2 Select the correct choice below and, if necessary, fil...

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: The given data is: fx=6cosπx Use the method of cylindrical shells to find the volume of the solid

Q: D Screen Shot 2022-03-09 at 6.16.05 PM 山 Q Search An equation for a cubic function with zeros 1, -2,...

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A: The given sequence converges.

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 6t³ – 13t...

A:

Q: 2 Evaluate the J ) dx xvx2-4. | a) arcsec ) + c (2) b) arcsin (-) +c c) arccos(x) + c d) arcsin(x) +...

A:

Q: Find the derivative of the function and evaluate the derivative at the given value of a. X = (x)4 ;a...

A:

Q: 680 -59 -0 - 0] q? 600 69 - - 0-01 q? - 680 DIFFREN TIATE d Pla) = q? -reo] 2 0.0) q-680] da da 600 ...

A: topic - differentiation

Q: 96 95 4 y3 y2 y1 ye x8 x1 x2 x3 x4 x5 x6 (a) Write an expression involving the values of æ and y = f...

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t - 15t ...

A: Topic:- application of derivatives

Q: Slopes, Tangents, and Normals In Exercises 31–40, verify that the given point is on the curve and fi...

A:

Q: x² – 5x – 6 44. f(x):

A: To sketch the graph of f(x)=x2-5x-6x2. Solution: First differentiate the function with respect to x....

Q: Consider the integral 2 6z² In(z) dz

A:

Q: 4. Based on the definition, the integral Sx'dx. Choose an option below and explain why. -0o a. Is di...

A:

Q: Find f(t). (s + 8)3. f(t) %3D

A:

Q: If the price of the product is increased from 3.50 to 4.20 (a 20% increase): (i) Will the revenue fr...

A: Find your answer below 

Q: Differentiate: f(x) = 4x³ - (5/x²) O a fx) = 12x²-(10/x³) O b. f(x) = 12x² + (10/x³) O c. f(x) = 12x...

A:

Q: 1. A new manufacturer of automobiles in Canada has determined that the quantity demanded of their br...

A: topic - functions and application of derivatives

Q: Is f(x, y) = (x^2)(y^3) + xy^2 − 3x^2 + 4y^2 − 5 differentiable everywhere? Justify your answer. (b)...

A:

Q: Evaluate the integral. 1 t3 dt t2 - 4 /2V2

A: ∫2241t3t2-4dt=?

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'...

A:

Q: 2. Find the domain of the following functions: 3 a). h(2) = %3D 4-2 b). f(x) = VE– 4 c). g(u) = 4.

A:

Q: in the third quadrant, and x is in the fourth quadrant;

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t3 9t me...

A: The posotion of a hummingbird flying along a straight line in t seconds is given by st=2t3-9ta. Velo...

Q: A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s ...

A:

Q: Find the point where the graph of the vector equation r(t) = ⟨2 − 3t, −2 − t, 2 + t⟩ intersects the ...

A:

Q: A B slope -3 -1 1/2 1 3 label ? v ? v

A:

Q: A rocket is fired vertically upward from the ground. The distance sin feet that the rocket travels f...

A: Formula: Let s(t) is displacement  Then, Velocity V= ds/dt Acceleration A=dV/dt

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Kindly repost the 2nd picture separately in order to get it answered by an expert

Q: ((2x-y²)´ (x,y) # (0,0) Let f(x, y) = x2+y4 2, (x, y) = (0,0) Is f continuous at (0,0)? Do fr(0,0) a...

A:

Q: If s(t) = 4t3 - 6t2 – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Find your answer below 

Q: What’s -3 x 5

A: Topic:- algebra   

Q: Evaluate S(e²-x²)(x) dx e2-x2 a) + c b) —е2-х? + c | e2-x2 c) -+ c d) e² – x² + c

A:

Q: In Exercises 9–18, write the function in the form y = f(u) and u = g(x). Then find dy/dx as a functi...

A: Note: as per guidelines I have to solve only 1 question so please repost question 38 in next window....

Q: Find the equation of the line tangent to the given curve at x = a. Use a graphing utility to graph t...

A:

Q: 2. Use parametric equations to derive the formula for the lateral surface area of a right circular c...

A:

Q: The temperature of a chemical reaction oscilates between a low of 25 C and a high ot 120 C. The temp...

A: Let's find. 

Q: 2) Determine whether the lines 1: x = 1+ 2t, y = 3t, z = 2 – t and l2 : x = -1+ s, y = 4 + s, z =1+3...

A:

Q: If f(a) = 0 and f'(a) = 6, find lim la + h) 2h %3D %3D

A:

Q: funchoN f= 2X3-3X²36X+54 find second denvaitive t"x)= use second derivarhive to identify .intervals ...

A: Consider a function f((x). If f"<0  on an interval then f is concave down on that interval. If f...

Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

A:

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1. y=2x+7-x3+3x-12. fx=1x at the point x=2

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: f(x2) - f(x1) average rate of change = X2 - X1 Calculate this average rate of change to show that it...

A: We are asked to showed the average rate of change is m 

Q: 13 5 Given: cosa = and A is located in the fourth quadrant; find tang. -5/3 -4/3 -5/4

A: Given that cosθ=35θ lies in 4th quadrantfind tanθ

Q: The position of the particle at time t is given by s(t) = t2 – 4t + 3. The particle is moving from r...

A:

Q: Differentiate: f(x) = 4x³ - (5/x²) %3D O a. f(x) = 12x² + (10/x³) O b. f(x) = 12x2+ 10x3 O c. f(x) =...

A:

Q: Given the following function f(x,y) and a positive number ɛ, find the largest possible value of ô >0...

A:

Q: 8. A farmer has 2400 feet of fencing with which he wants to fence off a rectangular field that borde...

A: Here, the farmer has 2400 feet of fencing using which he wants to fence the rectangular region which...