3. Given the function f(x, y, z) = x²y³ - y²z³, evaluate fxx, fyz, and fzx. x + y

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Q: Subject :- Finance    Bob will run at least 37 miles this week. So far, he has run 22 miles. What…

A: Given :- Bob will run at least 37 miles this week. So far, he has run 22 miles. To find :- What are…

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A: We know that, a function f(x,y) has stationary points at that points where, the partial derivatives…

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A: To find the area inside the limacon r=8+4sinθ Graph

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Q: FIND THE INTEGRAL BY THE METHOD INDICATED: Notes: By Parts formula: 1. (BY PARTS) udv= = uv -Svdu […

A: The given integral is x(x-3)4. Integrate the integral by parts formula.

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Q: Calculate the volume of the parallelepiped spanned by u = (1, 1, 9), v = (5, 0, 3), and w = : (0,…

A: To calculate the volume of the parallelepiped spanned by  u=1, 1, 9, v=5, 0, 3, and w=0, -3, 0.

Q: Provide an appropriate response. If cos x is replaced by 1-- O JE] < 0.000014222 OE < 0.000085333 O…

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Q: Solve the following differential equation y"+y' = sec(x).

A: We have,     y'' + y'  = sec (x)

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Q: 7. What is the modulus and principal argument of the following complex number? 4(cos(-57/4) +…

A: 4(cos(-5π4)+isin-5π4)

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Q: Determine all values of p for which the improper integral converges. [.. 7 dx Op> 1 Op≥ 1 Op<0…

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Q: (c) Use the Chain Rule to compute af s^3t^9 + 3s^3 t^12 + 2st Əs In (c) express your answer in terms…

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Q: 5 430 X 32°

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Q: Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ f(-1.1, 6): = tan(x) + y and u is the unit vector in the…

A: f(x,y)=sqrt(tanx+y) , (x, y) = (-1.1,6) Unit vector in the direction &lt;-1,1&gt; Find the gradient…

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A: By using substitution and partial fractions to find the following indefinite integral. ∫sec2xtan2x+9…

Q: (b) x = on the interval 0 ≤ x ≤ 9; about y-axis. ² X=

A: The surface area of rotatint the curve about y axis⇒S=2π∫cdgy1+gy2dy

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A: The given system of differential equations: y1'=y1+3y2y2'=13y1+y2Initial conditions are:  y1(0)=12…

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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

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Q: SKETCHPAD Question 16 What unit vector is in the same direction as v = 2i - 4j?

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Q: Evaluate the surface integral ¹ // F F. ds for the given vector field F and the oriented surface S.…

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Q: 7. Given a= [-1, 2,6], b= [0,-1, 3] and c= [2, 4, 5]. Determine a xb.c

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Q: Z O-14.8182 O-10.4091 -11.6250 O-12.6136 6 O-13.7159 10 -7 15 -11 f The function is continuous on…

A: Use formula of the area of trapezoid.

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A: ddxxarctanxa-a2lna2+x2=arctanxa

Q: 3) Find the equation of the osculating circle of the standard parabola y = x² at its vertex.

A: To find the equation of the osulating circle of standard parabola y=x2 at its  vertex

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A: The given function is;  f(x,y)=3x3y2+4(3x+2y)5 Find the fx, fxy, fy, fyx.

Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

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A: NOTE: Refresh your page if you can't see any equations. . The given DE is, compare this equation…

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Q: Sketch an example of a nonconstant function f(x) such that ·Sª. f(x) dx = 8

A: ∫xndx=xn+1n+1+c

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + + 3.5 5.7 7.9 9.11 (Use symbolic notation and…

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Q: In(1 + √x) √x s dx

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Q: You are given the graph of y = |x + 11. -10-8-6-4-2 y 10 -10-8 -6-4-2 8 + 6 44 2 -2 -4 -6 -8 -10 10…

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Q: If the profit function for a firm is given by P(x) = -1600 + 170x-x² and limitations on space…

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Q: Find an equation of the plane passing through the three points given P = (4, 2, 9), Q = (6, 7, 18),…

A: We have given three points as P = (4,2,9) Q = (6,7,18) R = (11,8,12)

Q: 7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy —…

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Q: Use the Limit Comparison Test for 4n² + 2 n(n-1)(n-19) Σ' an bn n=25 to prove convergence or…

A: The given series: ∑n=25∞an=∑n=25∞4n2+2nn-1n-19We need to prove the convergence or divergence using…