Help me differentiate and simplify 1a-1d

Q: z(t) Find a plane containing the point (-1,-8,-8) and the line (t) z(t) Calculator Check Answer…

A:

Q: -9 -6 Arc length: 9 -3 6 3 3 6 ∞o -3 -6 -9 In the animation above you can see a curve that is traced…

A:

Q: 35. TT/2 */2 tan²0 de 10

A:

Q: 8. Select the inverse of f(x) = ½¼½ (2)* + 1. [ƒ¹(x) = log₂ (2x + 2) |_ƒ^¹ (x) = log₂ (1/x -…

A:

Q: Hugo is serving fruit sorbet at his party. He has 1 gallon of fruit sorbet to serve to 32 friends.…

A: total fruit ara 1 gallon total peoples are 32we know  1 gallon=16 cups

Q: an+1 n→∞ an Let (an)1 be a sequence with positive terms, such that lim [Hints: = = 2023. Show that…

A:

Q: Given: z = x² + xy¹, x = uv² +w², y=u+vew дz δω Find when u = — −3, v = −2, w=0

A:

Q: Find th yp form of y" + 4y + 4y= 2e-2t + 3 te-2t + 4cost + 5.

A:

Q: Find a possible formula for the rational function whose graph appears here: I 1 I

A: We need to find a possible formula for the rational function whose graph is given below:

Q: B₂ 2) What are all values of p for which the infinite series n' an nºtl (A) P> 1 n 4²+1 = (1+²)…

A:

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

A:

Q: Evaluate the double integral by first identifying it as the volume of a solid. √ √ (6 − x) dA, R = {…

A:

Q: 1 □ 10. If log; (x) = 17, what is the value of log₁/3(x)? 0 1 17 317 0-17 O 10¹7

A:

Q: The price p (in dollars) and the demand x for a brand of running shoes are related by the equation =…

A: We need to find E(20) , %increase and demand at p = $20.

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A:

Q: Use the given zero to find the remaining zeros of the function. f(x) = x4 - 21x² - 100; zero: -2i X…

A:

Q: A rod with density p(x) = 2 + 3x kg/m lies on the x-axis from x=0 to x=1. What is the center of mass…

A: Given density function ρ( x ) = 2 + 3x center of mass = ∫abxρ( x )dx∫abρ( x )dx

Q: ind the limit if the attached sequence converge

A: Given :an=cos2n2n

Q: Determine where the function is (a) increasing: (b) decreasing, and (c) determine where relative…

A:

Q: log, (log₂ (6x − 1)) = 2. -

A:

Q: 10 Given the following functions: f(u) = 9/2 and g(x) = x¹⁰ + 1. Find: U f(g(x)) = f'(u) = f'(g(x))…

A:

Q: f(x) = -3x² - 6x 2x² - 4x + 2 = -3x(x + 2) 2(x - 1)²

A:

Q: D. Given two vectors =[6,2] a and v=[-2,1]. determine the projection of " on v

A:

Q: Given f(x, y) = 6x² + 3x²y³ + 4y5, find fz(x, y) = fy(x, y) = frz(x, y) = fxy(x, y) =

A:

Q: Evaluate the integral. (Use C for the constant of integration.) √ 6 sin²(x) cos³(x) dx

A:

Q: Σ 9″ 3 + 10"

A:

Q: 2 yt Jy - 25 - 2 dx

A:

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A:

Q: Suppose f(x) = 7* log(x). Find: ƒ'(x) = Note: Enter In(a) In(b) for log, (a).

A:

Q: f(x)=√√, find f'(x) O (1/2)x Onone of these answers O(-1/2)x1/2 1

A: The solution is given below

Q: f(x) = (3x² -2)5, find f '(x)

A: Here we have to differentiate the function.

Q: 100 8 y" + 2y¹ + 2y = et y (o)=0 y¹ (0) = 0

A: We need to solve D.E. using IVP.

Q: 4) For what values of p will both series (D) < p < only Σ., and Σ(5) converge? (B) < p <5 only (E)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: r(x) = [(3x-2)/(2x)], find r '(x) O O [(3)(2x)-(3x-2)(2)]/2 O [(3)(2x)-(3x-2)(2)] / x²…

A:

Q: Fory=5x² + 15x² - 10x, determine concavity and the x-values where points of inflection occur. Do not…

A: The solution is given below:

Q: If the equation of the tangent line to f(x) at the point a=1 is y=7-2x, what is f'(1)?

A: Application of derivative

Q: 1) Consider the series a, and M-1 of the following must be true? (A) If a, sb, then Σb, diverges A=1…

A:

Q: Determine the absolute maximum and absolute minimum values of the function ƒ(x) = ≤ 0. =−x² − 5x +…

A:

Q: Find the tangent plane to the equation z = 4y cos(5x – 3y) at the point (3,5,20) z =

A:

Q: Use Simpson's Rule with n = 8 to estimate the volume of the solid obtained by rotating the region…

A:

Q: 17. S₁- 1 x² + x dx

A: To find integral.

Q: ! A N AR 2 W S 199 Let à =(-4,-5, 3) and 6 = (-5, 2, 4). Find the projection of b onto a. proj 6=<…

A:

Q: Solve y'+by+9y = 0, y(0) = −2, y'(0) = 7 y(t) =

A: Given :

Q: 5 for 5: Calculus AB Day 4 3 1 12 -1 0 -1 jf'(x) -2 33 1 AB2: Let g(x) = f(x)f'(x). Find g'(4). AB3:…

A:

Q: 1) d) Consider the region bounded by y = √x, the x-axis, and the line x = 1 as shown. Give the…

A:

Q: is conservative. a= F(x, y) = 2.x (3.y + 1)i + a.x²j Next find a scalar potential for the vector…

A:

Q: Evaluate the integral. 3 L²F(x) -4 f(x) dx where f(x) = (3 16- x² if -4 ≤ x ≤0 if 0 < x≤ 3

A: Given function:- fx=3if -4≤x≤06-x2if 0&lt;x≤3

Q: Suppose for a particular commodity, & = 0.67 and that currently 80,000 units are selling for $6…

A:

Q: 2) b) Consider the same region bounded by y = √√x, the x-axis, and the line x = 1 as shown. Draw a…

A:

Q: f(5) = 4 f'(5) = 2 g(5) = 1 g(5) = 4

A: