dy The solution of the differential equation - y tan x = dx -cos*x sin²x A. ycos²x = + c C. y³ cos³x = 2 sinox B. y² cos²x = + c D. y cos³x = 2 sin xcos²x y² 18 -cos6x 2 sin x cos x 2 + c + c

Q: 5. Find the length of the curve = = = (1 ²+2) X=- 3 9 0≤ y ≤ 4

A:

Q: Evaluate the triple integral 9(z, y, z) dV over solid B. B B = {(x, y, z) | 5² ≤ x² + y² ≤ 7², x ≥…

A:

Q: (e) If f and g are differentiable then, d -f(g(x)) = f'(g(x))g'(x) dx True False

A:

Q: Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w…

A: Solution: P=u2+v2+w2   ............(1)Plug the value of u,v & wP =xey2+yex2+exy2

Q: 3 s²+1 6 s² + 1 Option 4 O * The Laplace transform of the x(t) is x (t) = 3 sint 3 s²+2 6 s²+2…

A:

Q: The particular solution In (x) = 3x + 4y, y(0) = 0 is A. e³x + 3e-4y = 4 B. 4e3x3e-4y = 3 C. 4e3x +…

A: Topic = Differential equation

Q: 4.1 Evaluate the integral [3√x √(3√x - 1 / +5 4 + x² expressions after applying the integration…

A: We have to evaluate the integral

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A: Let's solve diffrential equation by using laplace transform.

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: The plane containing the point (0,7,-2) and parallel to the plane -x + 8y + 6z = Ax+By+Cz = D. 4 has…

A:

Q: 2. A 6-ft tall man is walking away from a 15-ft post at a rate of 5 ft/sec in a straight line. How…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Given z=x²y+3xy4, x=sin(2t), y=cos(t), find dz/dt when t=0

A:

Q: B. Write in Signe Notation 1.-244-3 42 50 times 2. 1 + 9 + 25 + 49 +81 ++ /2/ }} + { + } / + 2/ 23…

A: Let's write given series in sigma notation.

Q: Find the limit or show that it does not exist. lim x - √x 818

A: follow next step

Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n)

A:

Q: (a) Find where x² + 3xy + y² = 3 at (√3,0). da

A: topic- implicit differentiation

Q: Which of the following is an exact DE? A. (x² + 1)dx - xydy = 0 B. xdy + (3x - 2y)dx = 0 C. 2xydx…

A: Solution:

Q: log7 X y =(√x) ¹087

A:

Q: Suppose that the function fis defined, for all real numbers, as follows. x-2 if x < -2 f(x) = 3x+2…

A:

Q: Find the distance from the point (-6,2,-7) to the plane -x + 4y = 2z = 22.

A:

Q: Q4) If the power series method was used to solve the following ODE. (x-0.5)y"-y' + (x² - 1) y=0, x=…

A:

Q: Use the transformation to graph the given function. Show all of the transformations on the same…

A: We have to translate the graph

Q: y= 3x + 2 √2x³-1

A:

Q: A car drives 30 km northeast, then 10 km south. Its displacement from its original position is a)…

A:

Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

A:

Q: H.W: Estimate the root of the equation for the following equation usind Newton- Raphson method: 1…

A:

Q: Determine dx for each of the following functions. Do not simplify the dy expressions after applying…

A:

Q: 4. The equation of a plane is [x, y, z)=[-1,-1,1]+s[1, 0, 1]+[0, 1, 2]. Find the - intercept of the…

A:

Q: cos(etan 3x) y cos

A: The given function y=cosetan3x

Q: Solve the following equations 2)3x+2 = 27 1) 2Ln(√x + 3) + 2Ln(√x-1)=Ln(6x-7) I 1 1

A: Let's solve both equation.

Q: 1) e5ln x+4Lny-Ln z qua

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

Q: If f(x) cos-¹(2x+5), then dom(f) = = x+3 (A) (-3,-2) (B) [-3, -2] C)(-3,-21

A:

Q: 1)y= (8+7x³) Find the derivative of the following functions 2)y = (x +5)®(2x + 3) 3)y=

A: We have to find the derivative of the given function

Q: Q4: Evaluate the following integral. 7/21/2 sin y 5% dy dx Y

A:

Q: O Determine if the line and plane intersect. If so, state the solution. T: -2x+6y + 4z_4=0 L: [x, y,…

A:

Q: Find the Jacobian for z = ² + 8uv and y = 6uv². Jacobian (equation format)

A:

Q: In one area, the lowest angle of elevation of the sun in winter is 23" 18. Find the minimum…

A: Here we find the distance.

Q: find the points at which f has a local maximum or a local minimum

A: This question can be solved using the concept of maxima and minima.

Q: 3. A 72 N force acting in the direction of vector (2, -1, -2) moves an object from P(3, 4, 2) to…

A:

Q: Calculate the direction of P1P2 and the midpoint of line segment P1P2. P 1(3, 4, 6) and P 2(6, 0, 1)…

A:

Q: Charles plots the point with the polar coordinates (-5,-). How does he plot this point? Drag a value…

A: This question can be solved using the concept of polar coordinates of a point.

Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

A:

Q: If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then…

A: The volume of the water remaining in the tank after t minutes V=50001-t402  gallons

Q: Consider the function y = (2x+1) e³x. Find the extreme value (or values) of the function (classify…

A: Given problem:- Consider the function y = (2x + 1)e3x Find the extreme value (or values) of the…

Q: Obtain the sum of the seri Ean $a = -² 2 n=2 nn

A:

Q: wal u a Write the vector shown below as a combination of vectors and 7 shown above. a Vector - 21+ V…

A:

Q: Question 4 (a) Solve the following: 4x¹dx (b) Explain with the aid of a sketch how this value can be…

A: we have to find the value of integral ∫-22 4x4  dx

Q: Solve the following equations 2)3x+2 = 27 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7)

A: The solutions are given below:

Q: Find the area of the surface generated when the given arc is revolved about the y-axis ㄷ y = 4 - x²…

A: We have to find area of the surface .

Q: 52.416 X 0.73 157248 +C

A: