Find div F and curl F if F(r, y, z) = 2e""i – 9 cos yj+ 4 sin? z k. div F= curl F

Q: Find div F and curl F if F(x, y, z) = 14y°z°i – 10x°z°j – 5xy°k. 35: 6.8 - div F= curl F=

A: We have to find div F and curl F.

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

A: differential equation

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: Determine the equation of the tangent plane and normal line to the surface at the given point.…

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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: INTRODUCTION TO MATRICES Answer the following questions: Given the Matrix A below. 3 12 21 A- 17 15…

A: This is a problem related to matrix . Based on the general formula and concepts we will answer the…

Q: 2. Use the definition of integral to evaluate the integral , (x3 + 1)dx. (hint: J f(x)dx = lim…

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

A: Given

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: Q4: Find the corresponding Spherical polar coordinates of the Cartesian coordinates (6,2,5).

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Q: Which type of discontinuity does the function exhibit at x = 3? -x2 + 1, -1 sx <0 2х, f(x) = { -4,…

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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 the formula r(t) - – P) x r"(0)|| to find giớ). ||P() × to find x(t). r(t) = e!l"i + e tj 156…

A: Given problem:- Find k(t) of r(t) =e12t i +e-t j

Q: The area enclosed by the curves y = x + 2 and x is . y = 7 + 5x %3D - .... 1) 36 2) 120 3) 34 4) 118…

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Q: Barbara put P100 into banks savings account. The account accrues a 9% interest rate compounded…

A: Given: Amount =P100 . Rate of interest= 9%  Time n= 12 years

Q: Solve the area bounded by the curve y = 4x - x² and the lines x = -2 and y = 4.

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Q: Find the curvature and the radius of curvature at the stated point. Edit r(t) = 8 cos(t)i+ 7 sin(t)j…

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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: 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: Find the radius of convergence, R, of the series. Σ n = 1 R = Find the interval, I, of convergence…

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Q: 3. Evaluate the integral 7/4 1 + cos²0 do cos²0

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Q: 5. Evaluate the indefinite integral sin2x 1+ cos?x

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Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 9x from (9, 9) to (0,0). NOTE: Enter…

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Q: 2.) f x²(2x³ + 1)5dx

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Q: t cos t?dt can best be evaluated by: A None B Trigonometric Transformation Integration by Parts…

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Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

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Q: pe of a trail at a distance of x miles from efinite integral of f(x) from x=3 to x=5

A: answer is in next step

Q: 2. Vector v has a magnitude of v53 and a directional angle of 164.055°. Select the response below th…

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Q: 3/2 dy The order and degree of the differential equation (). - 4 = 0 dx - dx2

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Q: Find curl (3z i + 4x j+ 7y k). curl (3z i+ 4x j+ 7y k) = ( i )i + ( i j+ ( )k

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Q: In series RL circuit, L=4 henry, R=100 ohms and E =200 volts, find the value of current when t =2…

A: Given ; L= 4 henry , R=100 ohms and E=200 volts , t= 2 sec

Q: Determine the exact area between the x-axis and the curve defined parametrically by ¤(t) = ;t2 1…

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Q: Evaluate the integral / (2x + 12y)dx + (24x – y)dy along the parabolic arc y = x² from (0,0) to…

A: For the arc y = x2 and the range of x from 0 to 1. So, dy = 2x dx. Now,…

Q: Evaluate the line integral -ydx + xdy along the curve C: y? = Зх from (3,3) to (0,0). NOTE: Enter…

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 s t s 1. (y - x) dx +…

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Q: 3. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1…

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

A: Question 7 and question 8 are solved.

Q: dy (х — 1) — у + 2(х — 1)3 dx

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Q: Evaluate the integral. 9. e dx -6

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Q: Describe the graph of the equation. r = 10 sin 6t í – 10 cos 6t j

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Q: A function g(x) has the following graph: 5. -2 2. What is lim g()? does not exist IN

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1. (y - x) dx +…

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Q: (d) r'(t) x r"(t)

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Q: 7.) L13x + 1|dx

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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Q: 6. y = (x +3x + 2)(x2 +5x + 1)

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Q: Verify Green's Theorem by evaluating both integrals y² dk + x² dy = / dA ay ax for the given path.…

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: We have to test convergence

Q: Use sigma notation to write the Taylor series about x = xo for the function. e¬4x, xo 1 Taylor…

A: f(x)=e-4xf-14=ef'(x)=-4e-4xf'-14=-4ef''(x)=16e-4xf''(-14)=16ef'''(x)=-64e-4xf'''(-14)=-64e