(1 + sin y) dy

Q: L{f(t)} f(t) = e-t sin t = (s> -1)

A:

Q: x² +9 √(x² - 1)(x^² + 4) In 1x + 11 + In |x-1| + tan-¹) + C Option 1 In x +11+ In |x-1|-tan ¹ () + C…

A:

Q: ✓ Solve the following linear programming problem using the graphical method Min (Z)= 20X+30Y…

A:

Q: USING WASHER METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

A:

Q: Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx − (2xy + x²) dy…

A: A detailed solution is given below.

Q: sketch the graph of fox) = 2 1+x²²

A:

Q: 4) A manufacturer has determined that the total cost C of operating a factory is C = 0.5x^2 + 15x +…

A: Given, total cost C of operating a factory is C = 0.5x^2 + 15x + 5000  where x is the number of…

Q: If the spherical coordinates (p, 0, ) of a point P are (1, 0,), then the Cartesian (rectangular)…

A:

Q: Solve the following using Cramer's rule: (Show your solution) 6.r y = 0 2x 4y 1 { (c)

A: In this question, we will find the solution of the given system of equations using Cramer's rule.

Q: Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx - (2xy + x²) dy…

A:

Q: 2. The task is to determine the flux of B across G, where G is the positively-oriented portion of…

A:

Q: Evaluate [(x +2y) ds, where C is the curve defined by y = √√4 – æ², for x = [0, 1

A: Here ds is arc length.

Q: COLUMN A 17. To each person on the earth assign the number which corresponds to his age. 18. To each…

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

Q: p(x,y,z)=xz²+sin(y) ex e*

A:

Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

Q: Consider the following. '6 dt Jo 36 + t² Let t = 6 tan(0) and determine the following.

A:

Q: Let f be defined at all real values of x and x = -3 is one of its critical numbers. If f" (x) = 2x +…

A: Given, f is defined at all real values of x. x=-3 is one of the critical points. f"(x)=2x+1

Q: 3. I. -1 2 Evaluate each determinant. 5 3

A: Given,-1523

Q: o an iterated triple integral in the order dxdzdy that gives the vol first octant enclosed by the…

A:

Q: A ball is thrown downward with a speed of 13 ft/s from the top of a 169-foot-tall building. After t…

A: Basic quadratic equation and derivative are to be calculated

Q: Include intercepts and restrictions. Show all calculations.

A:

Q: Find an equation of the plane tangent to the following function at (0, 0): O z = 9 O 2x +2y+z-7=0 O…

A:

Q: Evaluate y' y = cosh²12x +sinh²6x

A: To find out the derivative.

Q: अ 250 -x5/2 - 2x³/2 + +बेकर 9 x³ - 2x² + x − 1 -

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: e. at the course h the courf. e obtained fr eln (1-t) - dt 1-t A ed to you in any form is ed on [√x³…

A:

Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: Find the limit, if it exists, or show that the limit does not exist (a) lim (v) (0,0) 4+4y² U=D 15m…

A:

Q: Determine the combined moment about O due to the weight of the mailbox and the cross member AB. The…

A:

Q: 2. Evaluate Solve all parts or I'll dislike. If you can't solve all parts just skip it dx dx d. S S…

A:

Q: VI. Consider the conservative vector field 1. F(x, y, z) = (z cos(rz) -y sin(ry), 2y cos(ry) - ry²…

A: Solved below.

Q: Differentiate. f'(x) = f(x) = 8x7-9 cos(x)

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: Use differentials to estimate the value of 1.2. Compare the answer to the exact value of 1.2. Round…

A:

Q: A force is specified by the vector F = [(80)i + (50)j + (110)k] N. Calculate the angles made by F…

A:

Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3x²+5x+6 X *+3 25x²-9

A: Please refer to the image below

Q: Using the substitution u = x - 1, we get the following. (Remember to use absolute values where…

A: ∫1x-1dx=∫1udu                 =logu+c ∫1x-1dx=log(x-1)+C

Q: Calculate the area contained between the curve y = cos x, -<x<, and the line y = 1. T 3. √3 Option 1…

A:

Q: Let Sketch the curve and find the length of this curve. r(t) = (t, 3 cost, 3 sin t), 0≤ t ≤ 2π.

A:

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: 4. Evaluate 12x+1 dx 5. Evaluate dx X 6. Evaluate [ 3x -¹ dx

A: To find the value of given integrals .

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (8x…

A: Given

Q: Eliminate the parameter t to find a Cartesian equation in the form * = f(y) for: [x(t) = −2+² ly(t)…

A:

Q: Calculate the gradient of h(x, y, z) = x z Vh=

A:

Q: Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2--2,3-4, and A4--4. Use the following method to…

A:

Q: (a) Find the general solution of each of the differential equations: dy 8e2x - 4x dy dx = 12e - 10y…

A: Solved below.

Q: ) Approximate ſ*^*In(y +1)dy with a midpoint Riemann sum using three equal subintervals. 1

A:

Q: Find lul, Ivl, 12ul, |2v|, lu + vl, lu − vl, and _|u| - |v|. u= 5i + j, v = 2i - 4j

A: We need to calculate the magnitudes of given vector and evaluate the given expressions.

Q: 3 2x² + 5 can be split into simpler fractions using partial fractions decomposition. Set up the very…

A:

Q: y = In (cot 8x)

A:

Q: 3x²+2 0 2x²+4x+3 In 121 3 So Option 1 In 131 2 Option 3 None of the above dx Option 2 2 In 131 2 2…

A:

Q: The given definite integral is equal to x3 dx Jo x + 1 O 1.23 O 0.43 O 0.18 O 1.42 Onone of the…

A: The given integral:∫01x3x+1We need to evaluate the definite integral.