'If you have three functions: f(x) = x2 – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and fow(x) B) Find for the Implicit function: dx x? – sin(xy) + y? = 5xy

Q: Solve the following problems using the concepts of Parametric Equations. Show complete solutions.

A:

Q: d d Calculate ri(t) · r2(t)] and r(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.3 + 0.16t ft/s2.…

A:

Q: The population in a small fishing village on the east coast is decreasing by 7.5% per year. In 2003,…

A:

Q: Find the volume generated by revolving the area bounded by parabolas y? = x and y = x² about x = -1.…

A: Given region is bounded by paraboal y2=x  and x2=y

Q: APPLICATION I. Find the antiderivatives of the following functions using the substituion rule. Write…

A: Solving the problem by finding the value of the integrals.   NOTE :: As per our Expert guidelines we…

Q: メ-1 lim メ→( -2x

A:

Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: 1 Suppose that L is a location function of an object, given as L(t) : We 2t – 3 will compute the…

A:

Q: Use Newton's method to approximate a root of the equation x + x + 4 = 0 as follows. Let 1 = - 1 be…

A:

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 4t2 – 2 sin(5t)…

A:

Q: Consider the following. dx Let u = 5x3- 1. Find du. dx - np Indicate how the limits of integration…

A:

Q: 4. 7 [fx)dx = - 7, r(x)dx = -7, and = 7. Use these to complete parts (a) through (f). The functions…

A:

Q: (c) in the tank to a height of 1 m above its top. Give a definite integral that computes the total…

A: answer is in next step

Q: Determine the value of c for which 42 8n lim (1+ n00 cn

A:

Q: 2x3 dx 2x2-4x+3 3.

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

Q: b.x = evt and y = t – Int? at t = 1

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Given below is the augmented matrix of a system of linear equations.

A:

Q: nd the linearization of f(x)= {Vx at c = 64. Use the linearization to approximate 64.05.

A:

Q: Problem 4. Which gives the inverse transforms of the given s-domain function 1.88sin 2.67t -…

A:

Q: What is the difference between contanity? Unforly contanity ?

A: This question is from real analysis & our topic is uniform continuity .

Q: 3. Find the general solution of the differential equation. y"-6y' +13y = 0.

A:

Q: Determine the value of 5A+6M if 2x4 + 3x3 +8x2 + 14x + 3 A x-3 х — 3x + M - x(1 + x2)2 1 +x2 (1…

A:

Q: Q15. Find the Maclaurin series representation for each of the following functions. For each series:…

A:

Q: 1. Find the absolute maximum value of the function f(x)=x³ – x² – - x on the interval -1<x<10.

A:

Q: 4. Below is a photograph of the Eiffel Tower in France. On it there is a red parabola and purple…

A: the pair of equations can be x2=-8(y+30)      ... Parabolax236-y2169=1    ........ Hyperbola

Q: Let u= and v=. If uX v= then determine the value of 3A+B+C. Answer:

A:

Q: Integrals

A:

Q: f(x, y) = ln(x + y)

A: for the first order partial derivative we have to find fx = derivative of f with respect to x fy =…

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t→+∞ \ 3t2 +4’ 6t (?, ?)

A:

Q: 0. xe-4x dx 1 dx x(ln x)3 4

A:

Q: Find the arc length L of the graph of r(t). r(1) – ittj Vor? k. 1 r(t) = t i+tj 2 <t< 5 L = i

A: To find the arc length L  of the graph of r(t).

Q: 6. A particle is moving along a straight line. After t seconds the distance the particle has…

A: Here, the acceleration a of the particle is given by:…

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Given problem:-

Q: Find the area of the shaded region Blank 1 Note: Enter exact answer x = y 20 1000 y? 20

A: x=yx=1000y2Solve both the equationsy=1000y2y3=1000y=10The limits of y are from 10 to 20.

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t*|dt (25;² + 1) – 1 3j2

A: The given integral,                        ∫05ti+t2jdt

Q: d d Calculate r1(t)· r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: Let f(1) = 5I + 2. Using the definition of derivative at a point, %3D a. enter the expression needed…

A:

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

A:

Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: Find Duf at P. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = i %3D Duf = i

A:

Q: Find the particular solution of the following ODE given that y(0)=0 and y '(0)=0: d'y +y=e* dx

A: A Particular solution of the differential equation is a solution of the form y= f(x) , which don't…

Q: Verify Green's Theorem by evaluating both integrals aN | v? dx + x² dy dA ay Əx for the given path.…

A:

Q: If f(x) = 4x(sin I + cos I), find f'(r) -| 4x cos(r)- 4z sin(r) +4 sin(r) +4 cos(r) f'(1) =

A:

Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

A: Solved below

Q: The radius of a sphere is increased from 20 cm to 20.2 cm. Estimate the change in volume.

A: Given: The radius of a sphere is increased from 20cm to 20.2cm. To find: Estimate the change in…

Q: f(x,y) = 25 - x^2 - y^2 at the point P(3, 4). Use the Partial Limit Dervatives

A: Given problem:- f(x,y) = 25 - x2 - y2 at the point P(3, 4). Use the Partial Limit Derivatives

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3…

A:

Q: 10 Consider the function f(z). 6. Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(z)

A: