Evaluate the following limits. a. lim?→3 √x^2 −5−2  b. lim?→64 3√x−4  / √x−8

Q: Use the FOIL method to find the terms of the following multiplication problem. (3+4 i) • (4 – 2 i) U...

A:

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: Jax dix x²

A: To evaluate the given integral.∫ln xx2 dx  

Q: Q3. A) Test the continuity of the function f(x): F(x) = 3- x 2 <x <3 3< X < 4 X = 4 X +1 2х -1 B) Fi...

A:

Q: y)dx + ( 2+ x + ye" )dy =0

A:

Q: QI Evaluate 2 2 || 2y2 sin(xy) dydx (2 0 x

A:

Q: dy +2メy dx 4x ニ %3D

A:

Q: 7. For what values of A and B does the function y = differential equation y" +y' – 2y = sinx? (Hint:...

A:             Given  y=A sin x+B cos x            We have to differentiate twice                i.e., ...

Q: For the circle x^2+y^2=25 a. find y when x=3. Enter your answer as a list of numbers separated by c...

A:

Q: Find the derivative of the function. G(z) = (1 – 6z)Vz? + 1 %3D G'(Z) = Need Help? Read It

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co-or...

A: This question is based on finding equation of tangent line at a point on a given curve.

Q: 3. Let f(r, y) = y²x – yx² + xy. Find all critical points of f.

A: We have to determine critical points of f 

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, frac ti...

A:

Q: Find the average rate of change of the function over the given intervals. f(x) = 9x° +9; a) [1,3], b...

A:

Q: %3D 5) The Slant asymptote of f(r) = 5x +3+ is (A) y = 5x (B) 岁=5a+3 (C) y= 5x +4 (D) y= 5x +2 E)v3 ...

A: This question is related to asymptotes.

Q: 10. Bonus: Let y = Va + Vx + Vx+ ... to infinity. What is the expression for y'? (Hint: Try to find ...

A:

Q: Evaluate: a sec a tanxx dx from a = 0 and b = O 12- 1/ 0용 + 1 O none of these O v2+ 1

A: Given query is to eveluate the integral.

Q: A particle moves according to a law of motion s = f(t) = t3 – 12t2 + 36t – 7, where tis measured in ...

A:

Q: coS X =dx sin? x

A:

Q: Consider the integral sin (5x). dx: Applying the integration by parts technique, let u = and dv = dx...

A: Given that the integral   ∫sin-1(5x) dx .      

Q: Evaluate the integral. 32 log 16(x + 32) x+ 32 xp-

A:

Q: y tan x dx + In* ydy=0

A:

Q: Let f be defined by the graph to the right. Find VK0.3)+ 1(1.1) - x) +1(-1)+1(2)-1(-*)

A:

Q: (c) At what time do they have the same velocity? 13. If a ball is thrown into the air with a velocit...

A: Given query is to find the velocity of the ball. We will use derivative to find the velocity.

Q: Question: (Show complete and systematic solutions) The expression sin't cos tdt , when evaluated wil...

A: Given that ∫sin4t cos4tdtSolution :we know that sin2t=1-cos2t2,cos2t=1+cos2t2∫sin4t cos4tdt∫1-cos2t2...

Q: The point (3, 2) is on a curve and at any point, (x, y) on the curve, the tangent line has a slope e...

A: Given Slope of tangent line at (x, y) is 2x-3 and Curve passes through (3,2)

Q: 1 (b) 49 343 61 343 An = 3 7 11 15 (1s 12 16" 27 64 VaV V云 8 (c) (d) an三

A:

Q: If y= 4sqrt(9x^3+10), then y'=

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: /16z2 49 Evaluate the integral: (A) Which trig substitution is correct for this integral? 7 sec(e) 1...

A:

Q: Find the Laplace transform of (e^2t)(cos3t)t

A: Given: (e2t)(cos3t)t

Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

A:

Q: Let T be the triangular region with vertices (–1,0), (0,1), and (1,0). Use an iterated integral to e...

A:

Q: Find the exact area under the curve between the indicated values of x. y = -x2 + 9; between x = 0 an...

A:

Q: (1) Plot the graph of y = r³ – 3r - 5 = 0, and find where the curve crosses the T-axis and the y-axi...

A:

Q: x2 y2 Q1) Write the equation of the ellipse+ = 1 shifted 4 units to the left and 3 - 16 9. units up....

A: NOTE: Refresh your page if you can't see any equations. . the graph of the given ellipse shited lef...

Q: 3. Center: (3, -5) radius: 2

A:

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x=4 and roots of multiplicity 1 at...

A:

Q: E valuate sin" e cae de

A:

Q: x+1 Let g(x) = Determine all values of x at which g is Enter your search term ach of these values of...

A: Function definition for critical points  and discontinues.     

Q: f(x) = 10Vx3 – Vx? + 6\Vx® %3D -

A:

Q: Help! Find the derivative with respect to to x 4x^2+y^2=16

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple questi...

Q: #55

A: 55.The given function,y=3-x1+x21-x4

Q: x² 1. dx X=3 cos 0 /9—х2

A: Given that: ∫x29-x2dx

Q: X + |

A: topic - indefinite integral

Q: From a balloon 905 feet high, the angle of depression to the ranger headquarters is 80°32'. How far ...

A:

Q: Consider the following function. Function Factors f(x) = 3x³ – x² – 9x + 3 (3x – 1), (x + v3) (a) Ve...

A:

Q: Ly = Ce* + C2 cos x + C3 sinx

A:

Q: Consider the following sequence: (an) = nt1 to show that the given sequence (a,) is strictly increas...

A:

Q: A. Evaluate the following integrals.

A: Given that: ∫x(x2-2)14dx

Q: (3x2-7)* y = (3x2+5)4

A: Given:- y=(3x2-7)4 /(3x2+5)4 To find:- Derivative of given function