Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. g'(-4), g'(1), 9' (√3) g(t) = 7 g'(t) = g'(-4)= g'(1) = g'(√√3)=

Q: dy dt y = sin (tan (9t – 1)) Find dy dt

A:

Q: A bystander witnesses a train passing by them at t = 0, where the position function s(t) = t³ - 6t…

A:

Q: K Evaluate using integration by parts or substitution. Check by differentiating. [(5x²-2x) e 7x dx…

A:

Q: Find the curvature of the curve r(t) = (4t, – 5t³, 4t²) at the point t = 2. Give your answer to 2…

A: Vector calculation is required.

Q: [ e³³ex+1 e-4x dx

A:

Q: (e) lim I→∞ /9x4+3x+2 4x³+1 (f) lim [2x] x- 8. Verify each limit using the definition of limit. (a)…

A:

Q: An initial investment amount P, an annual interest rater, and a time t are given. Find the future…

A:

Q: (a) Translate each point mass below to the right five units and determine the resulting center of…

A:

Q: A sphere is to be designed with a radius of 72 in. Use differentials to estimate the maximum error…

A:

Q: II. Determine the point(s) of intersection, m, and m, and the angle(s) of intersection of the given…

A: As per Bartleby guidelines we only give first  three question answers. Please repost for other…

Q: Find the equation of the curve, if at any point on the curve y'' = 4x - sin 2x and that (π/2, 0) is…

A: Topic:- algebra and application of integration

Q: Write the equation of the line tangent to f(x)=x5 when x = -2. Oy=80x192 O y = -80x+128 Oy - 80x192…

A: The equation of the function is given what you need to do ? 1. Find the slope at given point 2. Form…

Q: Find the arc length (s) of the curve r(t) = (4t + 2, −5t + 3, 2t - 5) for - 3 ≤ t ≤ 2

A:

Q: Let f(x)=x²-2x on [-5, 1]. Use the IVT to determine if there is a solution to f(x) = 15 in the…

A:

Q: (2) Evaluate evx -dx √x Watch the notation. Do not write x's limits with du. (5 points)

A: Please refer to the image below

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Find the present value of the ordinary annuity. 40) Payments of $450 made annually for 13 years at…

A: Given: Value of each payment = $450 Number of Periods = 13 Interest rate per period = 6% = 0.06

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: See the details solution in below

Q: Gravel is falling on a conical pile at the rate of 32- min 1 If the radius of the pile is always the…

A: Let the radius of pile be:  r Let the height of the pile be:  h

Q: The triangle represents one-fourth of some whole shape. What might the whole shape look like?

A: The triangle represents one-fourth of some whole shape. To determine how the whole shape will look…

Q: Find the directional derivative of f(x, y) = direction of Q(2, −2). NOTE: Enter the exact answer.…

A: Solution

Q: Find Duf at P. 2 2. 4 f(x, y, z) = 6x¹y³z¹; P(1, −2, 2); u = - i + 3¹ - k Duf Mi

A: Topic:- application of derivatives

Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = 7i+ 5j + k v = i + j + 6k…

A:

Q: vhere f(x) = 4x + 7. If the limit does not exist enter DNE. lim h→0 f(5+h)-f(5) h

A:

Q: Consider the graph of the function g(x): -2- 0 2 (a) √ ² g(x) dx = [2 (b) 6 Sº The graph from x = 2…

A:

Q: Find the equation of the line through Po = (-2, 1, 1) and parallel to the line r(t) = (2, -2, 3) +…

A:

Q: Graph the derivative of the function graphed on the right. Choose the correct graph below. OA. in…

A: Graph the derivative of the function graphed on the right.

Q: Find the slope of the tangent line to the graph of the function at the specified point: b) y = 9…

A: We need to find slope.

Q: (1) Evaluate • fcos5 solution = xdx = Hint: Express cos x in terms of sin x. Then use the…

A:

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D=(5/2)t²,…

A: Derivate D to find the speed and then equate that with the given speed to find the time.

Q: Test the series below for convergence using the Root Test. non Σ, (In(n))" 71 2 The limit of the…

A:

Q: Find the unit vector u in the direction of (2, - 2) Give EXACT answer. You do NOT have to simplify…

A:

Q: Given 5 O a.) 5 O 5 f(x) dx = 12 and 6 [3f(x)+2g(x)]dx + f(x)dx O O b.) 10 c.) 40 5 d.) 32 = 12 and…

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

Q: Find all critical numbers of the function ƒ(x) = sin²6x + cos6x¸ 0 < x < / Select one: a. b. C. O d.…

A:

Q: A street light is mounted at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the…

A:

Q: Hello thank you for the response to the first question, could you also answer question 2?  Thank…

A: 2. The given integral is ∫14x2+4x+10dx We have to find the solution of the integral.

Q: Suppose - 3x² +24x-53 ≤ f(x) ≤ 3x²-24x +43 for all x values near 4, except possibly at 4. Evaluate…

A:

Q: If tant - 5 12 and π < t < 3π 2 find sint, cost, sect, csct, cott.

A:

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

A:

Q: Approximate the arc length of the graph of the function over the interval [0, 8] in three ways.…

A: This is a problem related to arc length of the function. Please find the procedure given below.

Q: (11 points) Use the given graph of the function g to find the following limits: 1. lim g(x) = x-2-…

A: 1. limx→2-g(x)=2     2.limx→2+g(x)=-1

Q: Find ƒ'(x) if ƒ(x) = (2x + 7) (1+ + 1/ ) ( 2 ~0. X f'(x) = (x−6+3).

A:

Q: C Find the domain range x and y intercepts, vertical and horizontal asymptotes, and zeroes of the…

A:

Q: Evaluate Answer: dt t² + t-30 S₁

A: ∫1t2+t-30dt

Q: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

A:

Q: Given lim f(x) = 13 and lim g(x) = -5, evaluate lim [f(x)g(x)-19]. X→ -1 X→ -1 x → -1 O lim…

A: Topic -Limits we are given,limx→-1f(x)=13limx→-1g(x)=-5we need to findlimx→-1f(x)g(x)-19

Q: Find the parametric equations for the tangent line to the curve at the point (0, 2, 1). Use the…

A:

Q: A farmer plans to fence a rectangular grazing area adjacent to an existing fence. The grazing area…

A: The area of the grazing is 180,000 square yards. x.y = 180000           ....i) Required Fence = R.F.…

Q: Find the area of the shaded region. (2) A 1.39 B 1.69 D 1.25 1.50 1/4 <2, // ) X

A: I have appended the formula used in the solution part of the question

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: