Use the given transformation to evaluate the integral. JJ (15x+10y) dA, where R is the parallelogram with vertices (-2, 8), (2, -8), (3,-7), and (-1, 9); x = = (u + v), y = - = // (v- - 4u)

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A: Using the application of derivatives, we can find the dimensions and area of garden.

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Q: Use the Chain Rule to find and 3 where z = (y-x), z = s²t, y = st².

A: The solution is shown in step-2

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Q: Let f(x) = 5x²e8/x. Find the intervals where f is increasing. (-∞,0) U (4,00) O (0,4) (4,00) O(-∞,0)…

A: To find the intervals where the function f(x) = 5x^2e^(8/x) is increases, we need to analyze its…

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Q: Find the limit. NOTE: Enter the answer using round brackets. lim t +∞ t² + 5 1 5t² +6' 3t, (,)

A: We have to find the limit as t tends to +infinity.

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Q: 1. Evaluate the indefinite integrals. (a) [ COS X (1 + sin x)² (b) [esin (e²) dr (c) [¹h 2² x dx dx

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Q: Sketch the graph of the function. -2 O -2 f(x) = x - 1 in(x) -1 if x ≤ 0 if 0 1 y 1 2 -2 -1 y 2 1 y…

A: graph of function is given and from graph we can find the answer of given question.

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Q: Find the integral. (3x+2)²dx (3x + 2)dx (Hint: Expand first.)

A: Given data

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Q: If c = (−3, −5) and ♂ = (–2, −6), find |4č – 2.5d|. O √74 O √146 O 7√5 O 8√6

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Q: Let f(x) = x³ and compute the Riemann sum of f over the interval [8, 9], using the following number…

A: Let  and to compute the Riemann sum of  over the interval , by using the following number of…

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Q: COURSE: CALCULUS 1 If profit of a company that manufactures sporting goods is estimated in millions…

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Q: Compute the derivative of f(x) = (x² + 3)e7x+5. O (x² +2x+3)e7x+5 O 14xe7x+5 O (7x2 + 14x + 21) e7+5…

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Q: Evaluate the definite integral. L₁ (2² - 2)² dx X 9.73

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Q: Q13. Solution of the differential equation (a) e-y²= e-x tan x - x² + c< (b) ey² =ex tan x + c (c)…

A: To find the solution of the following differential equation.

Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

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Q: Answer the following questions for the function f(x)=x√x² +16 defined on the interval −7 ≤ x ≤ 4.…

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Q: Producers' Surplus The demand function for a certain brand of CD is given by p=0.01x² 0.2x + 13…

A: Answering first question in multiple questiongiven p = −0.01x2 − 0.2x + 13=D(x)p = 0.01x2 + 0.7x +…

Q: We have In (10-x) = C-1 Σ 10 n=0 +7+1 10^(n + 1) =C- In order to find C, we let x = 0 and get f(0) -…

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Q: Find what the Sequence (1/n)^(1/n) converges to or if the sequence diverges.

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Q: Find the divergence of the vector field F. F(x, y, z) = In(3x² + 8y²)i + 24xyj + In(8y² + 9z²)k…

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Q: Evaluate. (Be sure to check by differentiating!) √3+4x² 8 + 4x dx, x# - 2

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Q: f(x)=ln(x+1) what are the critical points of this function?

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Q: Find the Jacobian of the transformation. X = 9es+t, y = 5es-t a(x, y) a(s, t)

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Q: The Equations for the asymptotes for a hyperbola with a vertical transverse axis are given by:…

A: asymptotes of the hyperbola with a vertical transverse axis.

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Q: Find the derivative of y with respect to 0. y = 110( sin (In (110))+ cos (In (110))) dy de (Use…

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Q: 1. Let f(x) = (9-x²) a) List all critical points, c, from the first derivative such that f'(c) = 0…

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Q: Find b and c so that y = − 13x²+bx+c has vertex (4, −4). b= = C = 4

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Q: Without using a calculator, find the exact value of the expression: 8 cos (-2) 3 12 cot (¹)

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Q: 1 13 When x = = 8 Σ n = 1 we have (–13)η χη νη || || 8 Π = 1 20 Σ n=1 (-13)"(-)" √√n

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Q: The logarithmic form of x^y = 1/3 is: Oy = -log(3)/log(x) y = log(3)/log(x) O3 = log(y)/log(x) Ox =…

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Q: 7. For the function f(x)=2x-4x² -2 do the following: a) Find the critical points. b) State the…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: M n=1 In n n²

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