Compute dy if y=U³₁, V= dx 4x+1

Q: d. Suppose that the cylindrical tank in the accompanying figure is filled to a depth of 4 feet at…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

A:

Q: Evaluate the following definite integrals using special techniques for integration: (x³) dx /(x²+1)…

A: I am attaching image so that you understand each and every step.

Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: 2028 (51n 20) 2028 (7In…

A: Given p(x)=(5x)7x and x=4To find p(x):

Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

A:

Q: f(x) below, what is the open interval(s) over which f'(x) is negative? 6 5 4 3 2 1 1 -2 -6-5-4-3-2-1…

A:

Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A:

Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

A:

Q: 11. Integral sin³ R cos R dR

A:

Q: Q ssosiee ※ dy nolaeV DOY MEMedua s x24

A:

Q: R is the region bounded above by the function f(x) = −3x/4 + 7 and below by the function g(x) = −x/2…

A: Solution of given question is written in below steps.

Q: Solve the given differential equation. 16x2y" + 16xy' - y = 0 C₁ cos(In(x)). + C₂sin (In(x)) 4 4…

A: here we have to solve differential equation.

Q: Compute the definite integral π/4 0 5 sin² (3x) dx

A:

Q: Find an equation of the line tangent to the graph of f(x) = (5x − 9)(x + 6) at (2,8). The equation…

A:

Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: We have that the center is 4+i. So, we have the LHS as |z-4-i|. We see that (7, 0) is on the curve.…

Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: A laser pointer is placed on a platform that rotates at a rate of 18 revolutions per minute. The…

A:

Q: Is sinxV9+ cos2 xdx

A: To evaluate the value of given indefinite integral.

Q: solve the system of equations by Grammer Method. 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 2 x₁ + 2x₂ +…

A:

Q: CHECKPOINT 1.2 Find the sum of the values of 4 + 3i for i = 1, 2,..., 100.

A:

Q: 12. Integral x² dx x³ +4

A: Given the integral,        ∫x2 dxx3+4

Q: +√³1 (2) dx = -3 and ³ S If it is known that [²₁ √f (a) da = 4, find the value of f(x) dx.

A: To find out the integral value.

Q: 0 x²+1 dx

A:

Q: I. Integration by Parts. Evaluate the following integrals. 3. sin (In x)dr

A:

Q: 4. Given cos 2x = cos²x - sin² x. (Optional) (a) Verify sin 2x = 2 sin x cosx. cos 2x, (b) Express…

A:

Q: 4. Find the area of the region bounded by y=6-2-2² and the z-axis. 125 (a) A= square units 6 (b) A =…

A:

Q: Find fæxyzz for f(x, y, z) = z³y² ln(x). [Show your solution.] Select one: O O O x² 6z²y x² 2z³y x²…

A: See this solution in below.

Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

A:

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f’’(9). f''(x)= Select…

A: Derivatives

Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: 12.) S³ S² (3x - 2y ¹) dy dx

A: according to company rules we can answer only the first question and rest can be reposted.

Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

A:

Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: Using linear approximation at x=a L(x) ≈f(a) + f'(a)(x-a)

Q: Find the indicated limits, noting L'Hôpital's Rule wherever it is used. lim (1-ª)* (constant a)

A:

Q: Find the solution of the initial value problem y" + 16y = 0, y(72) = 8, y¹ (72) = -16. Sketch the…

A: Given: y''+16y=0

Q: Q5: Solve the equation by Grammars rule: 2x + 3y - 4z = -3x+2y + 3 = 3 . 3x-y-z = 6

A: Calculating determinant of a matrix is the key requirement for this problem.

Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: O 2028 (51n 20) O 20…

A:

Q: Question 1. A critical point of the function g(x, y) = ex y + 3x²y-y is (0,0). Use the Second…

A: Explained below

Q: Simpson's 3/8 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 3rd…

A: To Find : Idea on which Simpson's 3/8 th rule is based on

Q: Let R be the region bounded by x = 1-y², x = 2 + y², y = -1, and y = 1. Find the volume of the solid…

A: The symmetry means we can integrate from 0 to 1 and double the answer. x = 2 + y² opens right and…

Q: How much money should David invest today into a fund that earns interest at 3.50% compounded…

A:

Q: Ex3. Find the absolute maximum and the absolute minimum values of the function f(x, y) = 2 + 2x + 4y…

A:

Q: ♡/ Find the Domain and the range of the function F(x)=√x-2

A:

Q: 16. Integral Ydy 6y2-1

A:

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [0, 4]. Vertical…

A:

Q: p(x) Given the Rational Function f(x) = q(x) Assume the numerator and denominator have no common…

A:

Q: Using the Trapezoidal rule, the approximated value for the integral: g(x) dx, is equal to------ g(1)…

A: