Find a linear approximation to the following function at the point a = 1 y = f(x) = x³ – 5æ4 + 8x3 – 12x? + 20x – 4 Select one: O a. y = 6+ 5(x – 1) O b. y = 8+5(x – 1) O c. None of these O d. y = 8+ 8(x – 1) O e. y = 6+ 8(x – 1) %3D %3D

Q: Shen can choose Plan A or Plan B for his long distance charges. For each plan, cost (in dollars) dep...

A:

Q: Use the table below to find dx [2f(x) – 4x] |x33 f'(x) g'(x) 1 2 1 [2f(x)- 4x] (Type an integer or a...

A:

Q: Solve the differential equation. 2y dx = 3xy? dx + x dy When x = 2, y = -2 %3D

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P & Q is the function of x.   G...

Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given...

A:

Q: 3. What is the derivative of y = (f(g(f(g(x))))? Furthermore, if you are asked to evaluate the deriv...

A: The given function,     y=fgfgxg0=0, f0=1 and g1=f1=1

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A:

Q: B each have x = 0. Taylor polynomials of degree 2 approximating these functions near x = 0 are as fo...

A:

Q: Find y' and y". y = e3e* y' y" Need Help? Read It

A:

Q: 4 (41² + 3)² dt cos t dt 1 + sin t sec x tan х dx sec x – 1 -

A:  we have to integrate the given integration 

Q: If y = x/T, then y' – 1/*. Select one: O True False

A: Given - y = x/π  To show :- y' = 1/π    

Q: Given the table of values for a continuous f(x) below, which of the following statements regarding t...

A: Curve fitting and concavity

Q: A javalina rancher wants to enclose a rectangular area and then divide it into five pens with fencin...

A:

Q: Determine the volume of a solid produced by rotating about the line y=14.9 the region bounded by the...

A:

Q: The length of the curve y=In sec x from x=0 to x=b, where 0 < b <, may be expressed by which of the ...

A: Given length of the curve y = ln secx.Below find the solution in the image.

Q: b 16 17 18

A: Graph the function :    

Q: 9. lim e 10. lim e sin 6x 11. lim 5*+6 12. lim

A:

Q: find all of the critical points and local maximums and minimums of each function. (c) f(x) = 1+ x4 '

A:

Q: 27. y y- 1. (2. 1) (hyperbola)

A:

Q: 7. Find y" if x4 + y4 = 16

A:

Q: Find dy/dx by implicit differentiation. x3 + x2y + 7y2 = 4 %3D y' = %3D

A:

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2 3...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Which of the following is equivalent to csc B(sec B– 1)(sec ß+1) for all values of ß for which csc? ...

A: Topic = Trigonometry

Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

A:

Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Let's find. 

Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate S- x Vx2-n dx 2. Evalu...

A:

Q: Which of the following is equivalent to sec B(tan?B+1) for all values of ß for which sec B(tan²B+1) ...

A:

Q: In how many ways can you arrange 4 people to be seated in a round table?

A:

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. If one ca...

A:

Q: 2. Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A:

Q: A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

A: Given problem:- A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform th...

Q: 1. When studying graph transformations, we have looked at two basic types: trans- lations and deform...

A:

Q: 3. What is the derivative of y = evaluate the derivative at x = 0, and you are given that g(0) f(1) ...

A:

Q: A ball is thrown in the air from the top of a building. Its height is given by s(t) = –0.6t² + 36t w...

A: Let s(t) denotes height of an object at any time t. Then velocity of this object at any time t is gi...

Q: 4. Homogeneous Diffe rential Equation: (x* +2.xy – 4y² kdx– (x² – 8.xy – 4y² kdy = Use the substitut...

A:

Q: sec20–1 Which of the following is equivalent to sec-0-1 for all values of 0 for which sec20 is defin...

A: (Sec²(theta)-1)/sec²(theta) =tan²(theta)/sec²(theta) =(sin²theta/cos²theta)×cos²theta =Sin²(theta)  ...

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the e...

A:

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C, A and B are constant, C is a parameter

A:

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Boyle\T 1...

A: This question is based on differentiation.

Q: Activity 3. "Let's be connected with each other" Directions: Compute f'(3) for each of the following...

A:

Q: 7. lim 4?* 8. lim e 9. lim e 10. lim e*

A: To evaluate the given limits.

Q: SOLUE THE DIFFERENTAL EOMATION 3. D(D + 7D + 19D + 13) y = 0 %3D 11 when x =0,Y=D0,y'=4,4"- -10 find...

A:

Q: (1+cos a)(1-cos a) (1+cos a)(1–cos a) Which of the following is equivalent to for all values of a fo...

A: let x =1+cosα1-cosαsin3αwkt (a+b)(a-b) = a2-b2sin2α+cos2α = 1 (trignometric identity)

Q: Lqsudnhlao203=9m] -03P99E90RO[9U3RM7210 Ud8y(,om 301 29u 3 ***#!12ngwe gggd 982eh c y The function f...

A:

Q: 5. Let, f(x, y) = V5x5y – x²y3 (a) Find the slope of the surface z = (b) Find the slope of the surfa...

A:

Q: 1. x + 6 dx 2 (x + 1)(3x – 2) dx - 3 4 - 3x2 + 5

A:

Q: The given function s(t) = 5t³ – 3t2 + 10t – 25 - represent the position of a particle traveling alon...

A:

Q: 1.0 1,6 -6 6 -6-

A:

Q: Find the interval of convergence. 00 (x +4)" Σ (n In(n))? n=2 (Use symbolic notation and fractions w...

A: