CSC X du 5. If u = f(x), then =1. Compute f %3D sin x- cos x COS X 2 (a) 1 (b) -1 (c) 0 (d) 2

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: 1 3. Let f(x, y, z) = Show that Vx2 + y² + z²° frx + fyy + fz2 = 0.

A:

Q: Find the rate of change of the volume of a cube with respect to the length of its side s when s =3 ...

A:

Q: dx For the integral , which of the following options is correct? A. lim (x – 1)½|" + lim (x – 1) | B...

A:

Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

A: Equation of tangent at point a,b with slope ,dydx.y-b=dydxx-a1. y=6x2+1    ; 1,3dydx=6×-1x2+12×2x=-1...

Q: 1. Consider the integral | 2nx g(x) dx . There is a function g(x) such that when u = In x the result...

A: The given integral is ∫2ln(x)g(x) dx. We have to find the value of g(3). Given that when u=ln(x) the...

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = x0 and then find the nth Taylor...

A:

Q: 2 2x 6. lim X-3-x-3 x2-9

A:

Q: dx Evaluate (1– 2x)² 1 2 O -1 1 2

A: To solve the following integral

Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

A:

Q: dx Given: 2x- 3xlnx Find: du 3 dx dx 3 -dx

A:

Q: Find the laylar polynomials of orders = 0,1,2,3, and 4 about x = No, and then find the nth laylor po...

A:

Q: Evaluate the integral 4x-12x²+7 xdx A(2x2-3)/4x – 12x² +7 – 2ln/2x² -3+/4x – 12x² +7|}+o (2x2-3W4X-1...

A:

Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

A:

Q: Some scientists believe that the average temperature of the world has been rising steadily. The aver...

A: We have to find slope and T - imtercept And T (surface temperature in 2050) 

Q: Find the Maclaurin polynomials of orders n = 0. 1.2.3, eand 4 and then find the nth Maclaurin polyno...

A:

Q: Evaluate csc?x cot(cot x) dx. O -In sin(cot x) + C O In sin(cot x)+ c O - csc?(cot x) + C O cot(csc?...

A: The given integral,       ∫csc2x cotcot x dx

Q: dx Sz Given: 2x - 3xlnx Find: du 3 dx dx dx X dx

A:

Q: Evaluate the integral cot 2x S- Vcot2 2x – 15 V cot? 2x

A:

Q: (x – 2)2 sin(2x2 – 3x – 2) lim log1 r+2+ 3

A:

Q: Problem #2 Use Cramer's Rule to solve the given linear system 2x-y 5 x + 3y =-1

A:

Q: dx Evaluate xV x2 - 4 TT 2 4 O O

A:

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: The length of string is 48 cm.Let the length of the one piece is x,Suppose, equilateral triangle wit...

Q: csc S- |cot2즐x)-4cot(를x) +4 Given: Find: u cot -2 O ca) cot 4cot x+4 cot +4

A:

Q: Evaluate the integral cot 2x Xp- Vcot2 2x - 15 -금ArCsec Csc 2x +C A 4 -nlcot 2x + Vcor 2x - 15|+C co...

A: This question is based on indefinite integral.

Q: Csc X Given: dx Vcor?(글씨)-4cor(글씨)+4 -x)+4 Find: u ct 1 cot2 1 x) - 4cotx) +4 cot cor()- acot( X+ 4

A:

Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

A:

Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half ...

A:

Q: 15-16 Find the number e that satisfies the conclusion of the Mean Value Theorem on the given interva...

A:

Q: ху — 1 dx x²y 1 xy2 dy = 0

A:

Q: 4x 1.2) lim X4 yx-2

A:

Q: Use sigma notation to write the Maclaurin's series for the function f(x) = x cosx. Show complete sol...

A:

Q: dx Evaluate • (1– 2x)² 1 2 O-1 H/2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  ............

Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

A:

Q: Enter the value of L- 1.27].

A: Floor value of x  is given as the greatest integer that is less than or equal to x

Q: Write an equation for a rational function with the given characteristics. 4, x-intercepts at (-4,0) ...

A: Explained below 

Q: What is the balance after 1 year in an account containing $1000 that earns a yearly nominal interest...

A: This question can be solved using the concept of compound interest.

Q: = 60 %3D = 30 %D =D3 %3D = ? %3D

A: From the given information,           3 × times of Red flower = 60                        

Q: 5. Solve a) In(x+1) = 3 b) e2 – e = 2.

A:

Q: Part of the piecewise-defined function (x – 1) + 2 if 0 < ¤ < 3 f(x) = b if x = 3 mx if 3 < x < 6 is...

A: Given problem:-

Q: dx Given: 2x- 3xlnx Find: du dx 3 dx dx 3 dx ---

A: Explained below 

Q: зах X-Vx

A:

Q: Given: 2х-3xInx Find: du dx X dx dx dx X

A: Given ∫dx2x-3xlnxfind du

Q: du Form Answer u 10 20. Given: Tdx a) 3 a" du Find: formula b) | a"du c) a"du d) a"du

A:

Q: dy :-y = xy2 dx

A:

Q: Csc- X S- /cor?(x)- acot(=x) + 4 Given: dx cot(슬x)+.

A:

Q: 3. The graph of a function g is shown. 1. (a) Verify that g satisfies the hypotheses of the Mean Val...

A:

Q: dx Evaluate 2 xV x2 - 4 4 O O

A:

Q: dx The integral can be rewritten as 1- x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī-s) S--0 (c) lim (-2+v1–...

A:

Q: dw 3. (w² +4)Z

A: