1. Find the area bounded by: x=y² and y=-x²

Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: here red show horizontal i component brown show verticle j component

Q: Find the arc length of the curve y = (e²+ e) from x = 0 to z = 2 Length:

A: Given  its derivative

Q: Q2:Find the Laplace of the following functions: 1- cos(2t) 1. f(t)

A: We will find the Laplace Transform

Q: you have two results for p= technically which one is the correct reference?

A: We have to find the value of p.

Q: Find all the second order partial derivatives of g(x.y) =xy +5 sin (y) + 4y cos (x). please solve

A:

Q: Please let me know what answer choice to Choose A,B,C, or

A:

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: Find v-w, if v = - 4i + 5j and w = 6i - 4j. |v - w|| = (Type an exact answer, using radicals as…

A: We can answer both the question as below

Q: ude 5. Find the area of the triangle created by the

A:

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A:

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on an average…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A:

Q: evaluate

A: We will solve the integration

Q: Evaluate .n dS and .ndS if F = (x + 2y)i– 3zj +xk, , and S is the surface of 2x + y + 2z = 6 bounded…

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: Find dyldx at x = pi/3* y = sinh'(2x) O 0.8617 O 0.6817 O 0.6871 O 0.8671

A: This question is based on chain rule differentiation.

Q: Example 2: Find the Fourier series 1, - 1<x < 0 f(x) = { 1," 0 <x < 1

A:

Q: Find the differential dy: y = In(sec² ( 3ª²–20+5 312-2x+5 O (E) None of the choices dy = 2 (x – 1)…

A:

Q: s+1 1. F(s) = 2.F(s) = s4+s2 2 (s +2)'+n?n²

A:

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 4. lim (x2 X--3…

A: Given problem:-

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on * an average…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the derivative of the function * 15 f (x) = (18x + 23) 3 1 12x 12 f' (x) = f' (x) = (18x² + 23)…

A:

Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

A:

Q: Q2/12 2 = と = COS e ) y= Sine find the %3D

A: partial derivative

Q: The general solution of y" + y = cos? x

A:

Q: A company producing stereos can produce a stereo for $117 on top of the company's annual fixed cost…

A:

Q: If f(x) = 4ln(6x + 3 ln(x)),

A:

Q: (D* – 1) y = 0 O y = cje* + cze* + c3 cos x + c4 sin x O y = cje* + czxe* + C3x? cosx + C4x³ sin x

A:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A:

Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A: We have to find radius of semicircle and height of rectangle.

Q: Find the radius of convergence and interval of convergence of the series. (-1)"-1 – 1)"- . I

A:

Q: A triangle has variable sides x,y.z subject to the constraint such that the perimeter is fixed to 24…

A:

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x²ym) +…

A: To find out the nth derivative of the function.

Q: What is the derivative of the expression (xy)" = e 1+ In(xy) 1+ In(xy) y O Option 1 Option 2 1+…

A: Given (xy)x=eTo find Derivative:

Q: Assume that f(x) has a critical point at x = c and that f"(c) = 0. Select the correct statement. A.…

A:

Q: Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

A:

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

A:

Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: need

A:

Q: 5. Solve the equation: (D² – 3D + 2) y = 2r² + 1 O y = cje* + c2e²« + 4x + 3x² + x³ O y = cje" +…

A:

Q: Identify the type of quadric surface defined by the equation 5æ? + 6y? + z = 30, and find all x-,…

A:

Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

A:

Q: Exercise 195 Further problems on Leibniz's theorem 8. If y = (x³ + 2x²)e2* determine an expansion…

A:

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A:

Q: 22-23. The top of a 25-foot ladder is sliding down a vertical wall at a constant rate of 4 feet per…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A: topic -rate of change of a function

Q: A. Set up the double integral I |(2² + y² )dA where R is the region above the a-axis bounded by the…

A:

Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…