33. (1 + r)' dr

Q: 42) 2. 100 2. 3. 1.1 0100 1

A: Given data÷

Q: 34. w/4 sec 0 tan 0 de

A:

Q: dy Find for the following expressions: dx а) y = x³ In(3x) b) y = 2 cos (+ 2x3) X 3x2 + 7x + cos (x)…

A:

Q: 6.* Sx³ V4 – x² dx - A V(4 – x*)³ – V(4 - x²)* + C C (4 – x²)ª + (4 – x²)5 + C 15 15 D V(4 – x²)³ –…

A: A.=-x23(4-x2)32-215(4-x2)52+Cdifferentiating w.r.t. x;=-x2332(4-x2) (-2x)-2x3(4-x2)32…

Q: Find an equation of the plane through (-4, 3, –8) that is perpendicular to the line x – 2 = t, y +3…

A: Given line : x-2=t , y+3=2t ,  z=-tx-21=t , y+32=t , z-1=tx-21= y+32= z-0-1 comparing with standard…

Q: 2- Use the inversion method to solve the following system: x+3y+3z=1 x+4y+3z=0 x+3y+4z=-1

A:

Q: 3. 2 3. 4 7. To find the blue shaded area above, we would calculate: area Where: a = f(x) = %3D area…

A: Consider the given figure below :

Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

Q: Determine if the following statement is true or false. The lines L and L2 are skew. L:x= -1+ 2t, y =…

A:

Q: Find the composite functions (f g) and (g ). What is the domain of each composite function? (Enter…

A:

Q: Evaluate the integral of e**+1 2xdx.

A: Given: I = ∫ex2+12xdx                                  ...........1 Formula: ∫eydy = ey+C

Q: dz If z = 4xy, x = 2t, y = 1- t then at dt t = 3 is: Select one: O None of them O -38 O -37 -39 O…

A:

Q: Q3. Evaluate the integrals below. For each integral, first calculate the related indefinite inte-…

A:

Q: 4,y² – 25 3. dy 4. V21+4z-z? dz

A:

Q: Calculate the fluid force F on the shaded side of the triangular plate submerged in fluid with mass…

A:

Q: Find the total area of the shaded regions. y=x√(36+x^2)

A:

Q: If f(x) and g(x) = In x, then (g o f)(x) =

A:

Q: 2. Find the center of mass of the four particles having masses 2, 3, 3, and 4 kg and located at the…

A:

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

A:

Q: Find an equation of the plane through (-8, –4, –5) that is 2 = t, y + 3 | perpendicular to the line…

A:

Q: Solve the differential equation with the appropriate method. Finalize answer free of fractions,…

A:

Q: Consider the function Z = 2x2(1 - e ) where x and y are given to be 6 and ln 6 respectively. Find…

A:

Q: white the funetion in the form flx)- for the given value of K, and demon c flx)= r 2 flx)= x3-x-14x…

A: Given    q(x) is the quotient when F(x) is divided by x + 1 and r is the remainder.

Q: sin 2x dx Evaluate the definite integral: COS X

A:

Q: 30. | (Зи — 2)(и + 1) du

A:

Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

A:

Q: Find a formula for the nth term of the sequence in terms of n. 5 52 53 54 12' 15' 18' 21' 24 1 for…

A: 112,515, 5218, 5321, 5424,...Numerator:50, 51, 52, 53, 54, ....can be represented as;5n-1, for…

Q: Use the series representation for cos x, cos x = 1 – + to find the following three items: 6! 1- A…

A:

Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6,3, –5). |(a) Find the volume of…

A: Let's find.

Q: x*-6x³+e* Vx dx

A:

Q: 7 dx 5. S- xVx-4

A: I am attaching image so that you understand each and every step.

Q: The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of land.1 The…

A: As per our guideline we are supposed to be answer only first three subpart of the question you can…

Q: x 1 + 1 -sisl y = 6. 2x Determine the arc length of the curve for

A:

Q: What is the degree 3 Taylor Polynomial for sin x for a near T 지/2?

A:

Q: 37. f(x) dx where f(x) sin x if 0 < x< T/2 cos x if T/2 <x< %3D

A:

Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 4x* y²; P(3, 2); a = 3 i –…

A:

Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: Sx*(2x + !) dx

A: Given ∫x3(2x+1x)dxWe expand it:=∫(2x4+x2)dxApply linearity:=2∫x4dx+∫x2dx

Q: 27. x(2 + x') dx Jo

A: integration

Q: 3. x'sec'ydy - (1– 2x'tany)dx = 0

A:

Q: Evaluate the integral below by interpreting y=(x) it in terms of areas in the figure, A1 A3 The…

A:

Q: S-1+2 dt

A:

Q: Evaluate/Find the following integrals. 1 dx 3. S- 3 1+ x

A:

Q: Evaluate cos[arcsin ( -) + arccos 1. (10 + 13 v3)/26 O (12 + 5V3)/26 (12 + 5V5)/26

A: Ģiven, cos(arcsin(-1/2)+ arccos(5/13))

Q: Simplify arctan4 + arctan (round to the nearest degree). 45° 0° 90°

A:

Q: 2b + 3 %3D = 2b + 2 x + 27 =

A:

Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when  r=2.

A:

Q: e^x + y)dx +(2 + X + ye^y)dy= 0 ,y(0)=1

A:

Q: Q.3 Find general solution by separating the variables. i. y3 = (y* + 1) cos x dx. ii. y' = 3x²(y² +…

A:

Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest -5 form.…

A: The detailed solution is mentioned in the step 2