1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

Q: Find the value of V®dx 0.

A:

Q: 6 Determine the interval of convergence for the power series that can be used to represent the…

A:

Q: d²y Find the second derivative, dx2 a. x = t² + 1 and y = t³ t2 b. x = 2 · + 2 and y = sin(t + 1)

A: This question can be solved using the concept of second order derivative.

Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

A:

Q: A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches the…

A: Let x be the acute angle made by the telescope with the vertical.

Q: c). Find the area under the curve f(x) = 4x +2x over the interval (5,8)

A: Given,            fx=4x3+2x , the interval is 5,8To find : Find the area under the curve over the…

Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumption varies according to the…

A:

Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: 3. Find the absolute maximum value of the function f(x)=- 1+x2

A:

Q: Find the equation of the tangent line to the following parametric equation at the given point. x =…

A:

Q: (a) Using series we already know, write down a formula for the (infinite) Taylor series for er - e",…

A: (a) The series used is: ex=1+x+x22!+x33!+x44!+...                 ...(1)

Q: Determine the value of c for which lim (1 + 2,5n = ell n-00 сп

A:

Q: Find the maximum and minimum values of the function f (x) -3x on the interval 1+x2 0<x<6.

A:

Q: Let u= where A and B are some constants. Given that u+ 6v= find the value of the product A.B.…

A:

Q: Find: 1. Sjs(x)dx

A: Given:

Q: Match the graph with the function. II -3-2 - 12 3x 1 2 : II IV (a) y- (x+ 1)? 01 (b) y- (x- 1)2 01…

A: To math the given graphs with the given equations.

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

A: Let's find.

Q: Q4) Find for the following functions ( dx 4. coth(ln x)

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

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: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) (t) = (e-e 2 %3D L{f{t)}…

A:

Q: Use the Laplace transform to solve the given initial-value problem. 2y" + 3y" — Зу' - 2у %3D е",…

A:

Q: What is the largest value of x for which the series (x - 8)" n 4 is absolutely convergent? Answer:

A: FOLLOW NEXT STEP

Q: All edges of a cube are expanding at a rate of 5 cm/sec. Let the length of the edge be denoted by x.…

A: (a) all the edges of the cube expanding at the rate 5cm/sec Here length of the edge denoted by x and…

Q: Use the first fundamental theorem of calculus to find F'(x) F(x) = cosr' dt

A: In this question we have to find F'(x).

Q: For each interval, choose the option that best describes the graph of f on that interval. from x=1…

A: We will use the given graph to solve this question. If the value of the function is increasing when…

Q: B) Find for the Implicit function: dx x² – sin(xy) + y² = 5xy %3D

A:

Q: (a) y= (x + 1)? O III OIV (b) y (x- 1)2 01 O II O IV (c) y-x - 1 O II OIV (d)

A:

Q: Estimate cos(π/4 - 0.1) + cosπ/4

A: Solving

Q: Let C1 be the curve with parametric equations x = cos t, y = sint – t, where t e [0, ). (a) Find the…

A:

Q: dx Va - x2 we may use x= and dx= substitutions to reduce the integral to San do. This step requires…

A: To complete the following statements.∫dxa2-x2we may use x=? and dx=?substitutions to reduce the…

Q: d²y 2. Find the second derivative, dx2 a. x = t2 + 1 and y = t3 t2 + 2 and y = sin(t + 1) b. x = | 2

A:

Q: Please

A:

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 eCos-1x 5. S V1-x2 6. Se…

A:

Q: (Drag and drop the missing words) ]sthe[ An of a definite integral as an endpoint of the interval of…

A: We have to fill in the blanks about improper integral.

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the…

A: Determine the rate of change of volume at the time t = 10??

Q: If 10% of a radioactive substance disintegrates in 4 days, what is its half-life

A: Follow the procedure given below.

Q: The system is a two-dimensional coordinate system in which each point on a plane is determined by a…

A: To fill the gaps using the given options.

Q: dy + 2(t + 1)y? = 0 dt b) Solve ;y(0) 8

A:

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 + 5 at x=2 ? %3D

A: As we know that; The slope of tangent line to the given curve is equal to the derivative of the…

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A:

Q: Write the general conic form equation for a parabola with vertex at (2, 2) and focus at (1/2, 2). y…

A: Given problem:- Write the general conic form equation for a parabola with vertex at (2, 2) and focus…

Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 circle hyperbola line…

A:

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

A:

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A:

Q: Consider the curve C with parametric equations Ja(t) = t° – 3t +1 lu(t) = t(t +1) defined for t e R.…

A: Given

Q: urface z = ze". frite the equation so the z(t) term contains a cos(t) term. -(t)

A:

Q: Q3) Evaluate triple integral f, (x2 -y²)dz dx dy.

A: