(8x + 4x)v4x² + 8 – 24x³ – 32x If f(x) = (/4x2 + 8 - x*) then f'(x) = 4r2 +8

Q: 3 to dy 2 +Sinx COSX

A: Given query is to find the solution of the differential equation.

Q: Evaluate csc2 3z dr cot 3r O 6cot 3xcsc3x + c O cot 3x + c Ocot 23xcsc3a + c cot 23x +c

A: Indefinite integration

Q: Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – Vēk NOTE: Enter your answer in terms of i, j, and k.…

A: We can solve this as follows:

Q: 2. Find the r educed echelon form of the fo A = 0 0 0 6 54 0 (714161 Show your working

A:

Q: dzy What is dx2 for the curve given by x = t2 and y = t3?

A: Our Aim is to find d2ydx2 for the curve given by x=t2 and y=t3

Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

A:

Q: Consider the following. w = xyz, x = s + 5t, y = s – 5t, z = st? (a) Find dw/s and dw/at by using…

A: Using chain rule and converting function in term of s and t are differentiated.

Q: chain rule to find given w = x² + 2y² + z² and x = cos (st), y = -2s lnt an 3s2 Vt.

A: We have to find out derivative

Q: Select the correct answer. Which hyperbola has both foci lying in the same quadrant? O A. (- 24)2 (y…

A:

Q: x2 + 2x – 1 1 True or False: lim x – 9 4 O True False

A:

Q: for the N(0) is it 0k? or can I write it just k?

A: Yes, N0=-12i+12j+0k.

Q: cy?t1) e COSX y2 dy 8- COSX CotX

A:

Q: Please answer all parts in detail.

A:

Q: (7 cos° t dt 2

A: ∫0π/2 cos9tdt ∫0π/2 cost(1-sin2t )4dt here lets substitute that sint = u du/dt = cost du = costdt…

Q: Use the finite difference method to solve the system of equation given by: y'"' + 2y" + y' + y = x²…

A: Given :y'''+2y''+y'+y=x2                                   (i)y(0)=0.2, y(1)=0.8 & y(2)=0.2We…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Vector

Q: The guen

A:

Q: Find the area bounded by the curve y = 4x-x2 and y = 3. %3D Answer:

A: Solve the following

Q: - the solution of the following O.D.E y' = cos(x) +y

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If y = x2 is expressed with parametric equations such that = 6 when x = 1, what is ? dt dx %3D dt

A:

Q: 34. Which of the following is solvable directly by power rule of antiderivative? A. [xe"dx B. Ssin*…

A: Which of the following is solvable directly by power rule of antiderivative?

Q: Apply

A: We will solve the integration.

Q: 3- the solution for the following O.D.E y' = In(x) + tan (x) %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The temperature in degrees centigrade (°C) at each point (x, y) on a curve 2x + y = 3 is given by…

A:

Q: Consider h(x, Y, z) = cos (xy) + eY% + ln (xz). Determine the directional derivative of h at the…

A:

Q: 5x3+4x2-5 dx

A: Use power rule integration technique

Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 10tj – 3Vtk) dt

A:

Q: A. Identify the given differential equation as to the dependent variable, degree of the equation,…

A:

Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

A: Given that the point is on the terminal side of an angle in standard position. To find the exact…

Q: Find fr(x, y) and fy(x, y) given f(, y) = (csc y) Arcsin(x²). %3D

A:

Q: r(t) = 4 cos(7t)i+4sin(7t)j+3tk

A:

Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

A:

Q: Edit Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places…

A:

Q: 3/2 <(のーメ)CK dx 2. 2.

A:

Q: 2. y = e*cos (2x) is a solution to y'-bytoy=0 3X

A: 2.y=e3xcos2x is a solution to y''-6y'+13y=0

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A:

Q: Step 1 To evaluate the sum Si, the following property of summation can be used to find the sum. Σ Σ…

A:

Q: sin() cos( 2

A: To Find :   ∫sinx2cos3x2dx   Note: 2sinAcosB=sin(A+B)+sin(A-B)

Q: Find the exact value. Show all work, including a sketch: cos(sin-1 (),

A: We have to find the exact value

Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

A:

Q: tan 0 d 30. dO sec² y dy

A:

Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.

Q: Find the maximum rate of change of f(z, y, z) = tan(6z + 2y + 3z) at the point ( – 1, 3, – 2).

A: We need to find maximum rate of change.

Q: dy Find of sin x + cos y = ety. dx

A:

Q: 7. Given that tan (A) = and angle A is in 3rd quadrant and cos(B) = – - and %3D 13 angle B is in 2th…

A:

Q: 3End any possible angle LB if ZA=30°, a=14 and b=10

A:

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arcos…

A: Givencos-1cos-3π2We know…

Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: Which is the power series representation (a) n! n=0 (b) -1)". (2n)! n=0 2n+1 (c) X-1)* (2n + 1)! n=0…

A: We have t