2. (2xy-tan y) dx + (x²-x sec² y) dy Answer: x²y - x x tan y = C. = 0

Q: Prove Vf(r) f'(r)r r

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Q: Consider the following function. x + 2 x-1 What is the domain of f? (Enter your answer using…

A: Points to remember. Every polynomial is a continuous function. If f(x) and g(x) are continuous…

Q: Please show your answer to 4 decimal places. Suppose that f(x,y)=e^(−x^2−2y^2−y)then the maximum is

A: We have to find the maximum.

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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Q: Consider the following. Let u = 3x³ - 1. Find du. du = dx dx Indicate how the limits of integration…

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Q: 4 If cos(0) and is in the 4th quadrant, find sin(0) 5 Give exact values. No decimals allowed! If the…

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Q: Find curl(5zi + 6xj + 3yk). curl (5zi + 6xj + 3yk) = (i )k )i + ( i )j + (i

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Q: Consider the following. 4x -y + z = 6 Sketch a graph of the plane... O Y_6 X6 Y_6 X6 4 -4 4 2 N N 6…

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Q: Find the solution of the given initial value problem. ty' + 2y = sint, y(7) = 5, t > 0 y = cos(t)…

A: As we know that; The standard of the First order linear differential equation is: dydt+Py=Q Where, P…

Q: the open interval on which the function is increasing or decreasing. (Enter your answers using…

A: Topic:- function and application of derivatives

Q: ad curl F if F(x, y, z) = xz7i+ 5y¹¹x²j + 6z²yk. d with CamScanner

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: Find f'(x) if f(x) = arcsin ve 0 f(x) = 2√1-2² 2√√√1-e 0 f(x)=√√² E² 21-e 1

A: Topic = Derivative

Q: Find the volume of the region bounded above by the sphere r = 2a cos0, and below by the cone = a…

A: Given: the sphere r=2a cos theta , cone ϕ=α0<α<π2

Q: Find div F and curl F if F(x, y, z) = 16yªz³i – 17x7zºj − 3xy¹k. div F= curl F=

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Q: F(x,y)=4xy-x^3-2y^2 A. Find Fx and Fy SHOW ALL WORK B. Find all second order partial derivatives of…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find curl (62 i + 7x j + Sy k). curl (62 i +7x j + 5y k) = (i k )i + (i )j + (

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Q: A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides…

A: Given problem:- A fence is to be built to enclose a rectangular area of 450 square feet. The fence…

Q: Give the Particular Solution of the following Differential Equation d² y dy +2 -8y = 0 dx² dx IBC:…

A: To find the particular solution of given differential equation.

Q: Evaluate I C: arc on y = x³/2 from (0, 0) to (4, 8) (2x −y) dx + (x + 3y) dy.

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Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (5 + s)i + j K =…

A: We have to solve and find the curvature  K

Q: sin 2xdx 2+cosx

A: Our Aim is to evaluate the given indefinite integral using U-Substitution.∫sin (2x)2+cos (x)dx-(i)

Q: 1 For r(t) = − i − j + m(1) k - j + ln(t)k and u(t) = t²i − 2tj + k. t d Find [r(1) · u(1)] ²3 +…

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Q: Find an integrating factor and solve the given equation. (12x²y + 2xy + 4y³) dx + (x² + y²) dy = 0.…

A: Given :12x2y+2xy+4y3dx+x2+y2dy=0

Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

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Q: Question 7 of 8 View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is…

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Q: d the following for the given equation. r(t) = (et, 6t², 8 tan(t)) (a) r(t) = (b) r"(t) = (c) Find…

A: Topic:- application of derivatives

Q: 13. DETAILS ZILLDIFFEQMODAP11 4.2.001. The indicated function y(x) is a solution of the given…

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Q: Find dy/dx without changing the form of the given function and answer must be in the simplest form:…

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Q: provide

A: Please refer to the image below

Q: Evaluate the definite integral. [²³ sin5(x) dx Step 1 6.² sin5(x) dx, first rewrite the integral. To…

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Q: Evaluate the following integral. 10 0 4 log 11 (x + 1) X+1 -dx

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Q: 4. Verify that the y defined below satisfies the following boundary value problem. -x Sy" = 8(x -…

A: The Dirac delta function is defined such that ddxHx=δx, where Hx=1x>00x≤0is unit step function.…

Q: nd the volume of the solid generated by revolving the region bounded by the given line and curve…

A: Topic:- application of integration

Q: Find the general solution of the given second-order differential equation. 5y" + y = 0

A: To solve the given differential equation.

Q: Admission to a baseball game is $3.50 for general admission and $6.00 for reserved seats. The…

A: Given the query is to find the number of each type of tickets sold.

Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the…

A: Here, the region bounded by the curves y=x2, y=0, x=3 is:

Q: d parametric equations for the following curve. Include an interval for the parameter values. e path…

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Q: Given: f(t) = 8 sin23t. Evaluate: F(1) Use 2 decimal places.

A: f(t) = 8 sin23t.

Q: 48. Find AB in CO A. 10/2 B. 20√2 C. 10 D. 20 20

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Q: What is the coefficient of the term containing x^3y in the expansion of (5x+y)^4?

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Q: Question 4 Which among the choices is not true about the continuity of f(x)? if x 1 -{₂ f(x) = x²,…

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

Q: Describe the graph of the equation. r = 18 sin 3ti - 18 cos 3t j O It is a circle of radius 18 in…

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Q: Please

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Q: S 2 x ²4x³-5 X e cote 4x³-5 dx

A: The objective of the question is evaluate the indefinite integral.

Q: Task 1: Consider vectors x1and x2. For this task. you can only adjust the weights c1and c2by moving…

A: (a) x1→=-11  , x2→=21⇒c1x1→+c2x2→=00

Q: Differentiate the function f(x) = 7√x - 2. (Use symbolic notation and fractions where needed.) f'(x)…

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Q: 2. cos x cos y dy-sin x siny dx = x² cos x sin y dx

A: The given equation is: cos x cos y dy-sin x sin y dx=x2cos x sin y dx Dividing it by cos x cos y we…

Q: H.w: Find the LT of the following functions: 3-f(t) = cosh at cos at

A: Given, f(t)=cosh at cos at

Q: Find the AREA of the region bounded by: y = √√√x+2, y=x, and the x A. B. C. D. 37 6 19 6 10 3 16 3 F…

A: Topic = Area