If f (x) : 2, what is the equation of the line tangent to f(x) at x = –1? O y+24x + 36 = 0 O y – 24x – 12 = 0 O y+ 24x – 36 = 0 O y+ 24x – 287 = 0

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx x²V4-x2

A: The given integral is 1/[x2 sqrt(4-x2)].

Q: 1. The number of arbitrary constants in a particular solution of a fourth order differential…

A: 1. We know that the number of constants in the general solution of a differential equation of order…

Q: Find My for a triangle whose vertices are located at (0,0), (1,0), (1,1) if the density of the…

A:

Q: The number N of beavers in a given area after x years can be approximated by the following. N = 5.5…

A: Given  population of beavers in a given area after x area N=5.5×100.23x    ,  0≤x≤10

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 E 6. o+z (p*-1)- -

A:

Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 2 seconds.…

A: Rate

Q: **. . AY .. ... Use the shell method to write and evaluate the definite integral that represents the…

A: A detailed solution is given below

Q: Evaluate T COs(T-a)-sin 글(ㅠ- z) - ㅠ lim T - x

A:

Q: Evaluate the integral / (12x + 18y)dx + (12x – y)dy along the paraboli - arc y = x² from (0,0) to…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: Use cylindrical coordinates to calculate SS lw f(x, y, z) dV for the given function and region: f(x,…

A:

Q: Find the partial derivative. = (a² + 4x – 2y)° - dz II

A:

Q: Describe the graph of the equation. r = 7 sin 6t i – 7 cos 6t j O It is a circle of radius 6 in the…

A:

Q: Find fr and fy- f (x, y): 6e dt 4 fa(x, y) = fy(x, y) =

A:

Q: I. Find the derivatives of the following 1. f(x) = 2x2 + 3x - 7 %3D

A: We know that ddxxn = nxn-1               and                    ddxpxn = p ddxxn = p× nxn-1 = pnxn-1

Q: The differential equation (xy2 + y)dy = (x + 1)dx is separable. Select one: O True OFalse

A: We have to find

Q: pe of a trail at a distance of x miles from efinite integral of f(x) from x=3 to x=5

A: answer is in next step

Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 9 cos(5x – 6y)j+ 10zk.

A:

Q: 2) Use polar coordinates to evaluate ff, sin OdA with R being the region in the first quadrant…

A:

Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

A:

Q: fu)=Sin(x) aニT R=?

A:

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: We have to integrate the function to calculate volume

Q: x+dx 1.

A:

Q: Ty csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соfу+ coty dy D) None E у…

A: Integrate by parts.

Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

A:

Q: Find the area of the region bounded by y = (1/8)(-x² + 6x + 7) and y = -6. Answer: Find the area of…

A:

Q: dy = xe with y(0) = 4 dx

A:

Q: A function f has the following graph: 4- 3 2 -1 0. 2 3 5 7 9 -1- Which of the following is true? O…

A:

Q: Given the function: x² –4 if x + 2 f(æ) = { k, 2-x if x = 2 What should be the value of k so that…

A: We have to find value of K

Q: dx а. x V4+ln?x

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

A:

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

A:

Q: dx 4. Find the integral 2-1)3 a. In (**1) b. In () - + C x-1 2x2-2 + C x-1. 2x2-2 c. - In -+ C 2x2-2…

A:

Q: The height h, in meters, of an object at time t is given by 12t + 18t – 6t2 .h(t) What is the height…

A:

Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

A:

Q: The equation y? = cx is a general equation of A. y' = 2 B. y = 2x 2x C. y' = y y D. y': 2y O A NONE…

A:

Q: /hat trigonometric substitution should be used to evaluate A x=3 tane B None C x=3 sece D x=3sin0 E)…

A: Solution:

Q: S- x*dx is equivalent to Using trigonometric substitution, (A) 6 sec40 de B) None (c) 8 sec40 de D 8…

A:

Q: dy Find for dx 4) y= sinxtanx

A:

Q: So 32 (2 + 4)° da = 5120 Select one: O True O False sin4xdx = 4 7/12 %3D Select one: O True O False…

A:

Q: Distinct Real Roots of Auxiliary Equation the general solution (D² – 9)y = 0 (D² – 1)y = 0 -

A: Topic:- solution of differential equation

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: Given: x=4y, x=-4y, y=1   From the given curves the bounded region is as shown below;

Q: Find the differential equation whose general solution is y = c,x + Cze* . A. (x – 1)y" – xy' + y = 0…

A: The simplest approach to do this question is to verify through options.

Q: Use a triple integral to find the volume of the region bounded by z = 7x + 8y, z = 9, and the planes…

A:

Q: Find the area of the plane region bounded by y = x3, x = -2 and x = 2.

A:

Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

A:

Q: x³dx is equivalent to Using trigonometric substitution,

A: Given,  ∫ x3x2-4dx

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: