Find the divergence of the vector field F. F(x, y) = 7XEX¡ – 9x²y2j

Q: If f(x) sin (2a+5) then dom(f) = %3D x+2 (A) (–3, –2) (B) [–3, –2] (C) (–1,1) (D) [–3, –2) (E) (-∞,…

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Q: ф бху dх + 2ху dy %3D i

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Q: Find f and f, and evaluate each at the given point. 3xy f(x, y) = V2x + 2y (1, 1) " (x, y) = 5,(x,…

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Q: (x^2+y^2-3)dx-2xydy=0 Prove the given DE is exact, and find general solution

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Q: Find div F and curl F if F(x, y, z) = 13y'z4i – 16x4z10j – 3xy'k. - - div F= curl F=

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Q: y = 9 - t

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = e"i+ e¬'j K(t)

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Q: dy Solve the separable differential equation dt t t?y + y Use the following initial condition: y(0)…

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). 13 r(t) = 3 cos(3t)i+3 sin(3t)j + tk…

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Q: EXAMPLE 9 Evaluate the integral. In (dr SOLUTION We let u = In(x) because its differential du = dx/x…

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Q: Find curl(4z i + 5xj + 9y k). curi (4z i + 5xj + 9y k) = ( i )i + ( i Ok

A: We have to find out the curl

Q: 4х Consider the function A(x)=2x+ for x > 3 Зx-1 (a) This function has one critical value larger…

A: We will start from critical points and follow upto inflection point

Q: The distance traveled in the time interval 0 <t < 4 is given by the following. -4 r4 |t2 + 6t – 16|…

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Q: 2. Solve the equation for 0 if 0<0 < 2n. Give your answer in degrees. 2 sin 0 – sin 20 = 0 %3D

A: Given problem:- Solve the equation for 0 if 0≤  θ  ≤ 2π ,Give your answer in degrees. 2sin(θ) - sin…

Q: Calculate the flux of the vector field through the given surface. F = zi + 2xj + 3yk, and S is the…

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Q: For the given function find dy/dx. = x + 2 %3D O y = 1-y-3x2-4x %3D 3y2 +2+2 O y = 1-a+3y-4x 322-y+2…

A: We know Implicit differentiation of ax+by=c is given by, a+bdydx=0 ddx(xn)=nxn-1 , for any real…

Q: 4x2-3z-2 Given a+1 determine y"

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Q: In 1 decimal place Find the Surface Area generated by rotating the first quadrant portion of the…

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Q: Find y': y = ar csc(2a2)

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Q: Use continuity to evaluate the limit. 16 + Vx lim 16 + x

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Q: メーャゴ+2x)dメ+でyalyo

A: answer is in next step .please give a like

Q: For the given function find dy/dx. = x +2

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Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

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

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Determine the area of the region between the x-axis and the graph of the curv -1 from x- 0 to x- 4.…

A: Area bounded by curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on a,b…

Q: xe - ye" = In(xy). Find dy/dx.

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Q: 21 Given 3x7 +8x5 - , determine, y" O 630x4 + 480x² + 126 5x4 O 840x3 + 360x 504 - 504 O 2520x3 +…

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Q: Question 5 Determine the derivative of the given function: y = 5-2 Oy = 5"-2 (In 5)(x - 2) Oy = 5-2…

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Q: Find all values of the angle 0 (in radians, with 0 s 0 < 2n) for which the matrix cos e -sin 0 A =…

A: The solution is given below

Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

A: We can evaluate the given integral by using the following formula.

Q: ermine the Interval(s) for which the function is (a) increasing, (b) decreasing, and (c) constant.…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 4 cos(t)i+5 sin(t)j+ 6tk;…

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Q: C. y = cosh¯'(x² + 1) + tanh-1(sinx) + sinh-'(cothx²)

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Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use inear…

A: Given problems:- 1).    The circumference of a sphere was measured to be 76 cm with a possible error…

Q: 3x2+14x+13 x+4

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Q: A force of 9 lb is required to hold a spring stretched 6 in. beyond its natural length. How much…

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Q: Express py? dA as an iterated integral in the order dydr, where R is the region in the ry-plane…

A: Integral

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A: We have to find maclaurian series

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if a is the…

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Q: Question 6 Determine the derivative, y': y = log, (In a?) %3D Oy = z In 5 In a Oy = = z In 5 In z Oy…

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Q: xe' – ye* = In(xy). Find dy/dx

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Q: (- 1)"(x + 1)" n! Consider the series E n=0 (a) Find the series' radius and interval of convergence.…

A: We will use Ratio Test for convergence

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ellti+etj K(t) ||

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Q: 5. Find the general solution: 9y" + 12y' + 4y = 0.

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5

Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

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Q: Question 3 dy Given the following function, determine do sec 0 You may use Insert -> Equation to…

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Q: 3. Evaluate (D +x)(D–x). Note: D=- (denotes derivative with respect to x). A) D²-x² B) D² -x² - 1 C)…

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Q: Question 4 Given the following equation, determine y'using the methods discussed in class a - y3 =…

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