12. L(s? – 1) sds 13. (1² – #) dt

Q: | (2x - y) dx + (x + 9y) dy. Ic Evaluate C: x-axis from (0, 0) to (0, -9) and (0, -9) to (5, -9)

A: We can solve as follows

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: Formulate a linear programming problem that can be used to solve the following question. A dealer…

A: topic - linear programming

Q: Describe the graph of the equation. r = -6i+ (1 – 1? )j + t k O It is a parabola in the plane z =…

A: Given problem:- Describe the graph of the equation.   r = - 6i + (1 - t2) j + tk

Q: 2. (6x -2) dy d2

A: In the given question we will use the formula for that double integration ∫x=pq∫y=rtfx,ydydx Where…

Q: he acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

A: Given query is to find the velocity function and the distance traveled.

Q: 2x + 6 Consider the function f(x) = . For this function there are two important intervals: (– ∞, A)…

A:

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

A:

Q: Calculate the first five derivatives of f(x) = – sin(x). Then determine f(8) and f(9). (Use symbolic…

A:

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: Question Describe the set S={ x: |(1/2)x-3| > 4 } Select your answer S= (-00, 12] U (14, o] S= (-00,…

A:

Q: Given the differential equation y'' – 4y' + 3y = 0, y(0) = 0, y'(0) - 2 Apply the Laplace Transform…

A: L yn = snY(s) -sn-1y(0) -sn-2y'(0) -...-sy(n-2)(0)-yn-1(0).

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: Convert the point from cylindrical coordinates to spherical coordinates. (6, 7, 8) (р, в, ф) -

A: Given: Now, we need to convert the point from cylindrical coordinates to spherical coordinates. We…

Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

A:

Q: Draw the Root Locus curve for the equation s (s + 2) (s + 3) + K (s +1) = 0.

A: We have to draw the root locus curve.

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t < v2 In 5 NOTE: Enter the exact…

A:

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

A:

Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

A:

Q: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

A:

Q: 1 Find Vf if f = 2 /x²+y² +z?

A:

Q: Verify Green's Theorem by evaluating both integrals aN | v? dx + x² dy dA ay Əx for the given path.…

A:

Q: Find the position function s(t) given acceleration a(t) = 2t if v(2) = 0 and s(2)=1.

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

A: Evaluate the indefinite integral

Q: f(x, y) = ln(x + y)

A: for the first order partial derivative we have to find fx = derivative of f with respect to x fy =…

Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

A: Solved below

Q: 9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2, 1).…

A: We have to find the equation of the tangent.

Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

A:

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: メ-1 lim メ→( -2x

A:

Q: For what values of x in [0, 2T does the graph of f(x) = x + 2 sin x have a horizontal tangent? List…

A:

Q: Let f(x) = 6 + v4x – 5. Find f-'(x). f-(2) = for x > 6

A:

Q: 13. Explain in your own words what a limit is. Use several diagrams and be sure to consider lim…

A: This is a problem of limit. Based on the general formula we will answer the question.

Q: 2n n E(-1)"; n! n=1

A:

Q: 1 Suppose that L is a location function of an object, given as L(t) : We 2t – 3 will compute the…

A:

Q: Calculate the derivative of y with respect to x when sin(x + y) = 6x + 4 cos(y). (Use symbolic…

A:

Q: Determine equation of the line in vector form, parametric form, symmetric form and scalar equation…

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

Q: Integrals

A:

Q: Find the curvature of the curve 7(t) = (3 cos(4t), 3 sin(4t), 4t) at the point t %3D Give your…

A:

Q: na the coordinates of a point P on th line and a vector parallel to the lihe. x - 2 - y + 5 = z + 4…

A: Given query is to find the coordinates of the point p and vector v.

Q: What is the length of a laptop computer centimeters or meters

A: We have to tell the unit of length of the laptop.

Q: Find an equation of the plane. The plane through the point (2, -8, -1) and parallel to the plane 7x…

A:

Q: 5 3 + s2-8 s2+ 3.

A:

Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

A:

Q: 3. a) If 2 - i is a root of x³ – 2x² – 3x + 10 = 0, find the other complex root. b) Calculate the…

A:

Q: Evaluate: S(4sin (x) – 3sec? (x)) dx

A: ∫ 4sinx-3sec2xdx=∫ 4sinxdx-∫ 3sec2xdx=-4cosx-3tanxAdd a constant to the solution=-4cosx-3tanx+C

Q: 3 2. (8x2 – 3x) (12x2 – 3) dx

A:

Q: 72n+1 E(-1)" 22n+1 (2n + 1)! n=0

A: Explanation of the answer is as follows

Q: 9x² = 164 -8y² + 36x + 64y

A: The given equation is: 9x2-8y2+36x+64y=164...(1)

Q: Use De Moivre's theorem to solve for z given z = 3 – 2i. Write your answers in rectangular form. Use…

A: Given: z5 = 3-2iz   = 3-2i15                                     1-------------------De-Moivre's…