Find the Jacobian of the transformation a -3u+7v, yu²+ 4v

Q: 1. when the a value is a fraction between 0 and 1, then the graph is compressed true or false 2.…

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Q: Consider the function f(x) = (a) Find the domain of f(x). Note: Use the letter U for union. To enter…

A: Note : as our guidelines , we  can solve first three subparts . Please repost remaining parts or…

Q: Consider the curve given by x³ + y³ = xy² + 1. Find the slope of the tangent line to the curve at…

A: given

Q: Consider the curve y = x² + 7x + 3. (a) Find the slope of the secant line to the curve through the…

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Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 1. R is the…

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Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

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Q: Find the absolute extrema of f(x) on the given interval (Remember, it is implied you will give the…

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Q: 21. a) Evaluate the following limits. Show proper steps. 8x²-2x-3 2x+1 a) lim x→→ 2 2x x-0 √2x+1-1…

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Q: find the area of a triangle using herons formula. the triangle has lengths of 610.02, 1022.5,…

A: given triangle lengths 610.02, 1022.5, 538.54

Q: 30. f², (3u-2)(u + 1) du

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Q: Which option states a correct formulation of the epsilon-delta definition of the limit lim (3x² - 4)…

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Q: Use the partial-fraction method to solve the following equation. dy dx = (y + 5)(y-10), where y(0) =…

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Q: 19. F(x, y, z) = yî + xyz ĵ – 2zx k, where S is the upward-facing paraboloid z = x² + y² lying in…

A: 19) Where, S is the upward-facing paraboloid  lying in cylinder From above curves the radius of the…

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. 10 9 8- 7- -6- 5- -1 0 N. -3…

A: (i) To estimate the slope of the tangent line to the curve in the following figure.(ii) To estimate…

Q: √x+1 x-1 x-1 a) lim 72²²x²-1 2. X X c) lim x→0 b) lim x³ +8 x→→→2 x+2

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Q: Evaluate the double integral 11₁₂²² x² dA, where D = {(x, y) : 1 ≤ x ≤e,0 ≤ y ≤ lnx}.

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Q: Discover all unit vectors that have an angle of T/3 with the positive section of the x-axis.

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Q: Find the derivative of y = -10x¹ sin (2x) + e cos 2x

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Q: Find and simplify the difference quotient f(x + h) − f(x) for the following function. h f(x) = -3x +…

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Q: 1) (-1)"(4x + 1)″ For what values of x does the series converge? n=0 a) Find the radius and interval…

A: 1) Σ  Σ(-1)^n(4x+1)^n where n→ 0 to ∞For what values of x does the series converge?a) Find the…

Q: 9. Evaluate f (2x − y)dA; D is bounded by the circle with center the origin and radius 2.

A: We have to evaluate  where D is bounded by the circle with center the origin and radius 2.

Q: Find the following derivatives. Z and Z₁, where z = ex+4y, x= 3st, and y=8s + 4t

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Q: Explain why the following justification is incorrect: To evaluate the limit of the function x² + y²…

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Q: Find the derivative of the given function. y = (x2 - 4x + 4) e9x/4 기 = dx

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Q: Find the maximum value of ƒ(x, y) = x¹y³ for x, y ≥ 0 on the unit circle. fmax =

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Q: Suppose that f(2)=-4, g(2) = 3, f'(2) = -1, and g'(2) = 5. Find h'(2). (a) h(x) = 3f(x) 2g(x) h'(2)…

A: Given that  and .To find the derivative value of .Derivative formula:

Q: Find dy. y=3 In (2+x²)

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Q: The Cobb-Douglas Production function for a certain company is given by P(L,K)= 1400L ^0.7 K^0.3…

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Q: Find the linearization of the function ƒ (x) = = L(x) ab B (-2)x-3 X -1.1 86 -1.01 a -1.001 √a |a|…

A: The given function

Q: Σπ=o2()n+3

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Q: the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: We have to integrate the given function.

Q: What is the rectangular form of the polar equation: r = 4sin(θ)

A: To convert the polar equation r = 4sin(θ) into rectangular form, we can use the following…

Q: Calculate the area, in square units, bounded by g(x) = 4x + 8 and f(x) = x² + 19x+62 over the…

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Q: 8. (a+b) The angle between vectors a=3 units and units anda is 90°. Calculate 5 to one decimal…

A: The angle between vectors  and  is 90 degrees.

Q: answers

A: Solving the problem

Q: 3a) Determine whether or not the function below is differentiable at O by using the definition of…

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Q: Evaluate f(3) for the function f(x) = -ex: 3 O -10.048 O 20.086 O -20.086 O 10.048

A: We are givenWe have to find

Q: Find the area, in square units, bounded above by f(x) = -x² + 10x - 16 and g(x) = 2x - 4 and bounded…

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Q: Considering the definition of f(x) below, find lim f(x). x-5+ (If the limit does not exist, enter…

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Q: Find the derivative of y with respect to t. 1/ 3 y = sec 3t4 0<t<

A: The given function .To find the derivative function .

Q: Evaluate the integral. te⁹t dt Step 1 Recall the formula for integration by parts, which states that…

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Q: For the following system to be consistent, 3x-6y + 7z + kz - 3z 13x- Oy -2x-9y we must have, k ‡ = -…

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Q: 2 Use direct Substitution to obtain an undefined expre ther use the method of to simplify &…

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Q: Express the function F in the form f o g. F(x)=√x + 6

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Q: If f(x) = x²/(1+x), find f "(2). f"(2) =

A: Use the quotient rules of the derivative

Q: Solve the problem. Find the number of units that must be produced and sold in order to yield the…

A: Revenue function , Cost function

Q: 27. S cos5 x sin³ x dx

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