Simplify the expression In c. * a. d. 3x Iní3x)

Q: Show that when a hole of radius a is bored through the center of the sphere of radius b, the volume…

A:

Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

A:

Q: To determine the area of the region bounded by x = y^2 - y - 6 and x = 2y + 4, first we have to…

A: find the area between curve

Q: 1. [(x²+ ux) Jx3 +1 dx

A:

Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

A:

Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

A:

Q: How many solutions does the follow equation have. Explain e* = 0

A:

Q: -2 2 7e" + dy -5

A:

Q: 3. (a) y(8) when y=cos 2x 2 (b) y(9) when y=3 cos t 3

A:

Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A: We have to find radius of semicircle and height of rectangle.

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min.…

A: We know volume of a sphere of radius r is, V= (4/3)πr³ Doing implicit differentiation on both sides…

Q: 5. (a) Let z = (a+ ai)(b+ bv3i) where a and b are positive real numbers. Without using a calculator,…

A: See the answer below

Q: 1 Evaluate dx. - 9x In(7e® + 1) 9x 1 -dx = In(|7+ e– 9æ|) + C 7+e-9x 7. 9

A:

Q: 1. Let z = 3+ 6i and w = a + bi where a, b e R. Without using a calculator, (a) determine , and…

A: Let's find ratio of given complex numbers.

Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: dx cot 2x cos 2x 4,

A:

Q: dx 4 sın*3x tan

A:

Q: 2X + 2 ) dx 3. 2X 6 + 2e

A:

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A:

Q: Let y = tan find the differential dy of the function.

A:

Q: d²y Find dx2 Given: 2xy + 2y² = 1

A:

Q: A. Given f(x) = x³ - 4x2- 4x + 16, find; a. Zeros of the function b. Critical numbers c. local…

A:

Q: 5.) What can you conclude when dx is changing from negative to positive? A) fis at a local minimum…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: If f(x) = 5x² In(6x), then f'(x) = f''(x) = f'''(x) f(4) (x) = f (5) (x)

A: We have to find derivative of give function.

Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: (ax-2) dx x2+ 2X + 15

A:

Q: Find the radius of convergence and interval of convergence of the series. (Enter your answer as an…

A: Let's calculate radius of convergence and interval of convergence of the given series.

Q: 22-23. The top of a 25-foot ladder is sliding down a vertical wall at a constant rate of 4 feet per…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: 1. How to solve the values of x to find the critical values of the graph of a polynomial function?…

A:

Q: Find f, fy. f- 2 f(x.y,z) = 3x - V4y +z" | (Type an exact answer, using radicals as needed.)

A:

Q: ah find and 3x + 8y For the function h(x,y) = 9ху - 1° ду dh dx

A:

Q: х3—х+1 Find: lim X→0 x2+3

A:

Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

A:

Q: x dx 1o. 8 x-X

A:

Q: dy (x-2)° · (2x + if y dx\x=0 Find = e2x . Vx+8

A:

Q: Find the area of the surface generated by revolving the curve about each given axis. x = St, y= 9t,…

A: We have to find the surface area.

Q: 8. To find the derivative of y = cot* (2x), which of the following is the appropriate value of u? A)…

A:

Q: Q1: Find the Laplace of the following Periodic functions: 1. f(t) = t 0 <t< 2 2. f(t) = ksin(wt) 0…

A:

Q: e* (1-e*) (1+х) [Iin(1-х)] 12. lim,»0

A: LetL=limx→ 0ex1-ex1+xln1-xplug x=0L=e01-e01+0ln1-0L=11-11ln1L=1.01.0L=00Which is undetrminat…

Q: Find the flux of F across S, F N dS where N is the upward unit normal vector to S. F(x, y, z) = 10i…

A:

Q: (y®+ 4y³-Ay) dy y2+10 6. ,3.

A: LetI=∫y5+4y3-4yy2+10dyI=∫y5y2+10+4y3y2+10+-4yy2+10dyI=∫y5y2+10dy+∫4y3y2+10dy-∫4yy2+10dyTake constant…

Q: Find Inz3 -dz

A:

Q: The area between the curves f(x)=x and g(x)= x^2 on interval [0,2] O 2

A:

Q: 10. In writing a function in the denominator and its derivative is in the numerator, which of the…

A:

Q: 3. Jy

A:

Q: Sketch the curve given by the parametric equations x= t³ - 1 and y= t² + t. Construct a table with…

A: Given problem:- Sketch the curve given by the parametric equations x= t3 - 1 and y= t2 + t.…