O f(-1) = 3, lim f(x) = 3, lim f(x) = +∞ O f(-1) = 3, lim f(x) = -o∞, lim f(x) = +o0 O f(-1) = 1, lim f(x) = 1, lim f(x) -1 æ-1+ O fl 3. lim f(r) 3 lim f(r)

Q: V a(x) = e(x-5) - b(x) = -(x – 8.38)² + V c(x) = 1

A:

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

A:

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: The directrix is the line y =-3, this is a horizontal line. The vertex is at the origin (0,0), so…

Q: d,x+7 3. dx 2x-3

A: To find: ddxx+72x-3

Q: 5. J 12 csc (-6х) cot (-6x) dx 6. J2x3 cot х4 dx 7. S xª sec (x5 - 9) dx 8. S tan 3 x dx

A: The given integral are 5) 12 csc(-6x) cot(-6x)  6) 2x3 cot(x4)

Q: ..... .... .............. ............... The values y (in billions of dollars) of U.S. currency in…

A: topic- inequality

Q: 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…

A: Given query is to find the equation of the tangent.

Q: Suppose f(x, y, z) = x2 + y + z? and W is the solid cylinder with height 7 and base radius 3 that is…

A: Given that f(x,y,z) = x2+y2+z2 and W is the solid cylinder with height 7 and base radius 3 that is…

Q: fu)=Sin(x) aニT R=?

A:

Q: Find dy for dx 1. e*y = e4x – e5y ху

A: exy=e4x-e5yDifferentiate with respect to yyexy+xexydydx=-5e5ydydx(xexy+5e5y)dydx=-yexy

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

A:

Q: Using the shell method, determine the integral that represents the volume of the solid formed by…

A: volume rotating about x=pii

Q: Find the exact area under the curve between the indicated values of x. y =x(1/2); between x = 1 and…

A: find the area under the curve

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

A:

Q: Find V· (V × F) if F(x, y, z) = 7 sin xi + 5 cos(7:x – 8y)j + 6zk. V . (V × F) :

A: F(x,y,z)=7sinx i+ 5 cos( 7x-8y)j+6zk

Q: Determine if the following functions are odd, even, or neither. Provide reason. (a) f(x) = x² (b)…

A:

Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t= 3 T() N(G) .3

A: To find the vectors T(t) and N(t)  for the given r(t) at point t=pi/3.

Q: Let 7(t) = < 4t° – 4, – 2e*, – 3 sin( – 5t) Find )dt (don't include the +C)

A:

Q: So dz Select one: O True O False

A:

Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to 4x(x²+ 2)dx B (4x³+2)dx None D 2(x²+2)dx E…

A: To find out the dt.

Q: dx а. x V4+ln?x

A:

Q: In VVi+1-2 dt, if we let V Vt+1 – 2, then dt is equal to A 2(x²+2)dx ® 4x(x²+2)dx c) None D…

A:

Q: 1. How fast is the ice forming when t = 1? When t = 2? Give units. when t = 1: when t = 2: 2. If ice…

A: see below the answer and explanation

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

A:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or…

A:

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A:

Q: 1. S sin x cos 3x dx.

A:

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 은(1-x) 2+C

A: We have to solve above question and find integral

Q: 19. y = sin-1+ cos-1 2 2

A:

Q: L3a²dx = 65 %3D Select one: O True O False

A: We have to find out integration

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: Find the quotient of the complex numbers. Leave your answer in polar form. co cos

A:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -…

A: The given ellipse has Foci 0,±2 and vertices 0,±6

Q: For the given cost function C(x) = 25600 + 500z + x², %3D First, find the average cost function. Use…

A:

Q: Take

A:

Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

A:

Q: Find the partial derivative. 17zy

A: Given, ∂xe17xy∂x We have to find the partial derivative.

Q: The following table gives the sunrise and sunset times for various dates of the year in Lincroft,…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A:

Q: Find the general solution of y' =y sec x. A. y = C (secx+ tan x) B. y= C (sec x – tan x) C. y = C…

A:

Q: 1- x, x 2 - Which of the following is TRUE? O The function is continuous everywhere. O The function…

A:

Q: 3 4 dx . (5+2x)' 3. Evaluate

A:

Q: Find a set of parametric equations for the tangent line to the graph at t = to. (Enter your answers…

A:

Q: Suppose a population function P(t) satisfies the following differential equation. P is measured in…

A:

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: answer is in next step . as per guideline i can only answer one question

Q: The sum of one number and five times the second number is 50. A. What are the numbers so that their…

A: Let the first number be 'x' second number be 'y'. A/q  x+5y=50⇒5y=50-x⇒y=50-x5 The product of first…

Q: r=5 sin  18t  i−5 cos  18t  jr=5⁢ sin⁢  18⁢t⁢  i-5⁢ cos⁢ ⁢ 18⁢t⁢  ⁢j It is a circle of radius 1818…

A: We have to find the centre and radius of the circle.

Q: x³dx U sing trigonometric substitution, is equivalent to

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: L 3a da = 65 Select one: O True O False 2Vada = 104/3 %3D Select one: O True O False L(z +4)(z +3)dz…

A: