dy 4 + 4y = xe'

Q: Find V. (V × F) if F(x, y, z) = 10 sin ci + 9 cos(2.x – 3y)j + 9zk. V·(V × F) =

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Q: Find curl (7z i + 8x j + 9y k). curl(7z i + 8x j + 9y k) = ( i )i + ( i )j + ( i )k

A: This question is related to vectors, we will solve it using given information.

Q: Describe the graph of the equation. r = - 2i + tj + (t² – 1)k O Itis a parabola in the x = 2 plane,…

A: Here we  have to identify the vector.

Q: Differentiate the following functions: 1) f (x) = 5 2) f (x) = -2x 3) ƒ (x) = -2x + 2 -2r +2 %D

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = 11 cos(8t)i+11 sin(8t)j+ 3tk…

A: r(t)=11cos(8t)i+11sin(8t)j+3tkr'(t)=d11cos(8t)dti+d11sin(8t)dtj+d3tdtk=-88sin(8t)i+88cos(8t)j+3kr''(…

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A:

Q: Find the general solution 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D2 – 5D) + 4y = 0 4. (D² – 9)y…

A: 1. D2-D-2y=02. D2+3Dy=03. D2-5D+4y=0 Note:    Multiple sub parts are given, we are answer only three…

Q: Solve for the derivative of the following composite functions. f(g(x)) = (x+ 4)* 2 f(9(x)) = (2x2 +…

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Q: Find div F and curl F if F(x, y, z) = 13y°z³i – 9x*z³j – 4ry°k. div F= curl F=

A:

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 9)i + tj, osts1

A: Given

Q: y = 3x - x² and y = 2x %3D

A: See the details solution in below

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2…

A: To write down that it satisfies the mean value theorem or not.

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Question 3 of 4 (x² + 1)5 y = (23 – 1) – 1)

A: According to guidelines, we must answer only one question of the multiple questions given. Please…

Q: 2. dy dx

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Q: if x 1. z +1 Given f(x) = 2x 1 Then, lim f(x)%= 2+1+ O does not exist O 2 0 1

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Q: Solve the differential equation Integrating Factor by Linear Equation: dy 1 dx x + y2

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Q: Find curl (5z i + 6x j + 8y k). curl (5z i+ 6x j + 8y k) )i + ( i )j + ( i i )k

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Q: Find an equation of the largest sphere contained in the cube determined by the planes a 1, a = 7, y…

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Q: Solve the differential equation Integrating Factor by Linear Equation: (xy² + x²)dy + xydx = 0 %3D

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Q: Find each of the two areas bounded by the

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Q: Find curl (2z i + 3x j + 5y k). url(2z i + 3x j + 5y k) = ( i )i + ( )j + ( 3 )k

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Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

A: Area

Q: dx 4. Find the integral 2-1)3 a. In (**1) b. In () - + C x-1 2x2-2 + C x-1. 2x2-2 c. - In -+ C 2x2-2…

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: The objective of the question is evaluate the definite integral using the Green Theorem.

Q: (2y²+ x²+3 0. प्रमत्ण ै

A: This is a problem of double integration. Based on the general formula we will evaluate the integral.

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Daluate the Vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: 1 Without a table of values and using index laws, sketch y 2*-

A: y=12x 2-1 y=12x2 y=22x

Q: 7. S x4 sec (x5 - 9) dx 8. S tan 3 x dx

A: Question 7 and question 8 are solved.

Q: Evaluate the line integral -ydr + rdy along the curve C : y² = 6x from (6, 6) to (0,0). NOTE: Enter…

A:

Q: A function f has the following graph: 4- -3 -2 1- -2 -1 5. 6. 8. -1- -2- Which of the following is…

A: Graph of the function is given, we have to discuss about continuous of the function

Q: nd the general solution of the following: 2. (D3 – 4D² + 4D)y = 0 3. (4D2 – 6D + 1)y = 0 4. (25D2 –…

A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than…

Q: ,2 dy 2х dy + 2 dx -9 —D 12х — е dx?

A:

Q: II. Find the Inverse Laplace of the following 1 a. s² +6s+25 s2 b. (s-1)3 7 C. s4 8 - - - s3 s2

A: According to bartleby guidelines when student post multiple subpart questions then expert must have…

Q: Given the function f(x) = x² and the closed interval [0, 1], which of the following is a value of c…

A: Given query is to find the value of c.

Q: Solve for the derivative of the following composite functions. f(g(x)) = (x + 4)5 1.

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Q: 2) Find and of the following equation then simplify whenever possible. d²y dx dx² x = Cos ß + Sin ß…

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Q: A plane region is bounded by the curves 2x2 + 4x + y = 0 and 2x – y = 0. Sketch the given boundaries…

A: The objective of the question is evaluate the area bounded by the given curves and Sketch of the…

Q: Find the general solution 4. (D2 – 9)y = 0 - %3D

A: We are authorized to solve only one question, please repost remaining questions Differential…

Q: Find div F and curl F if F(x, y, z) = 17y®z*i – 8x'z®j – 4cy°k. %3D - div F= curl F=

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Q: Find div F and curl F if F(x, y, z) = x*i – 5j + yzk. - div F= curl F=

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Q: Describe the graph of the equation. r = (7 – 21) i+ 101j O Itis a line in 2-space through the point…

A: Equation

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A:

Q: Find My for a triangle whose vertices are located at (0,0), (1,0), (1,1) if the density of the…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: This is a problem related to vector calculus. Based on the general formula of green's theorem we…

Q: 3 d : 4me-m2 dy. dm

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Q: 1. Using L'Hospital's rule, evaluate lim(1 – x²).

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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

Q: Solve the general solution of Differential equation y''-5y'+4y=3e^{6x}

A: differential equation