Find a function f(x, y, z) such that V f = (8z, 4y³, 8x). (Use symbolic notation and fractions where needed. Use C for the constant of integration.) f(x, y, z) =

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A: We use ratio test to find the interval of convergence.

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A: point s-2,-1,6line x=2t, y=10t, z=-1t

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Q: Use implicit differentiation Find dy at the point (1, 1) for 7x² + 4y³ + 6xy = 0. dx 10 9 10 to find…

A: given 7x2+4y3+6xy=0 , point is (1,1)

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A: Integration of  2x.cos(x2)e^sin(x2)dx  We have to calculate du after suitable substitution

Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…

Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

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Q: Question 2 Match each trigonometric function with the quadrant where it is positive. sine cosine…

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Q: Please solve this 100% Correctly and ASAP. Thx  Find the equation of the tangent to the function y =…

A: Tangent line formula passing through the point (a,b) and slope m is  y-b=m(x-a)

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Q: z³dz /4 – z²

A: To perform the indicated integration by using Rationalizing Fractions. ∫z3 dz4-z2

Q: Q5 Use the graphs below to fill in blank for Q(5.1)-Q(5.6). Write DNE" for Does Not Exist" or NEI"…

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Q: 3π Plot the point whose polar coordinates are 2, 2 -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 V 1 2 3 5

A: The given polar coordinate point2, 3π2. We have to plot the point in the rectangular coordinate…

Q: Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x-1 a)…

A: The given function is, f(x)=4-x2, x<-1ax2-1, x≥-1

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

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Q: The equation of the line that goes through the point (5,9) and is perpendicular to the line 4x + 2y…

A: given line goes through the point (5,9) and perpendicular to line 4x+2y=2

Q: Find the scalar equation of the plane that contains the points A(0, 4, -1), B(6, 2, 5) and C(3, -1,…

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Q: Each of the following problems addresses a course SLO for Math 21. Each individual student completes…

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Q: Evaluate the integral. 6 (x + 1)(x² + 16) 6 (x + 1)(x² +16) dx -dx=

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Q: Evaluate the double integral cos √√x² + y²dA, where D is the disc with center the origin 。 and…

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Q: The vectors and have lengths 2 and 1, respectively. The vectors a +56 and 2a - 3b are perpendicular.…

A: The vectors a→ and b→ have lengths 2 and 1 respectively.The vectorsa→+5b→ and 2a→-3b→ are…

Q: Given: (x is number of items) Demand function: d(x) = 352.8 -0.2x² Supply function: s(x) = 0.6x²…

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Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: 1. Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)…

A: Given data 2+5i2-4i

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Q: If land that can be farmed L is eroding continuously at a rate of 4.5% per year because of changing…

A: “Since you have asked multiple questions (a and b are not related to each other), we will solve the…

Q: Use the formula T = T(t) = [r'(t) = r²(e)] - '"(t) x Ir'(t) x r"(t)|2 T(0) = r(t) = 7t, to find the…

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Q: an n In n en (domain n ≥ 1)

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Q: In this problem, y = c₂ cos(4x) + C₂ sin(4x) is a two-parameter family of solutions of the…

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

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub a drinking cup…

A: Let’s solve this problem using calculus. Let’s say the radius of the cup is r and the height is h.…

Q: 7. Sketch the region and then use the disk/washer method to set up an integral to find the volume of…

A: To sketch the region and then by using the disk/washer method to set up an integral  to find the…

Q: First make a substitution and then use integration by parts to evaluate the integral Se 6x5ex² da…

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Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

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Q: This problem is represented by the following system: 3x +9y+22=98 8z + 5y +32= 105 4z +10y+z=100…

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Q: What is 7.8% of 220

A: X % of Y = Y × x100

Q: A tumor is injected with 0.82 grams of Iodine-125. After 1 day, the amount of lodine-125 has…

A: Law of Decay is given as  P = P0e-kt where P is the amount after time t  P0 is the initial amount  k…

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Q: Variant 4 (extra). 1. Find the partial derivatives of: =(x,y)=9sin x-5x²y³ +7+ ycos.x+e¹

A: Z(x,y)=9sinx-5x2y3+7+ycosx+ey

Q: In this problem, x = C₁ cos t + c₂ sint is a two-parameter family of solutions of the second-order…

A: We will find the general solution .

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Q: Find the given vector. 1. e, where v = (4, -2, -1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Compute the dot product. (Use symbolic notation and fractions where needed.) ( ²1₁ 212 ) · ( 5₁ -1)…

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Q: Evaluate the line integral JC 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve…

A: We have, integral 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve connecting (1, 2, 4)…

Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

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Q: Which of the following are separable differential equations? A. y = 2x - 3y +1 B.(4)=x+y □ C. 2xydx…

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Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…