what domain and range of function? f (x, y) 2 x²-y y²-x

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A: The given function .The objective is to find the first-degree polynomial whose value and slope…

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A: Given that

Q: Sketch a graph of f(x) 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: = -1 -2 -3 -4 -5+ 1 -|x4| - 1 2 1 2…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: f(x) = 7x^-8e",

A: f(x)=7x4−8exUsing the power rule,ddxxn=nxn−1ddxeax=aeax

Q: (Calculate the limit lim x²+x+12

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Q: Let h(x) =tan(3x + 5). Then h' (4) is 3 sec² (17) 2 and h''(4) is

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Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order…

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Q: Find the absolute extrema of the function (if any exists) on each interval.

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Q: Determine the equation of the tangent to the curve y= (2x^2-3)(x+1)^2 at the point where x=1 Thank…

A: The equation of the tangent line to a function y= f(x) at (a,b) is given byy - b = f'(a)(x - a)

Q: (a) The graph in the figure given below is made of line segments joined end to end. At which points…

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Q: (2) n=1 n²-2√n +1 1-n-3n²

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Use the vector-valued function r(t) to find the principal unit normal vector N(t) using the…

A: By using the vector-valued function r(t) to find the principal unit normal vector N(t) by using the…

Q: Evaluate the following integral using integration by parts. In x 19 X dx Use the integration by…

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Q: The rational expression ( 8x² + 3x)/((x² + 1)(x² + 4)) has partial fractions expansion Ax+ B Cx + D…

A: The rational expression  has partial fractions expansion .To find the value of A.

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Q: The cube root of 125 is 5. How much larger is the cube root of 126.2? Estimate using the Linear…

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Q: Compute the length of the curv L= ¹rve r(t) = (2t, ln t, t²) over the interval 1 ≤ t ≤ 2 =

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Q: The probability of precipitation in a California city varies from a peak of 0.38 (38%) in January to…

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Q: Solve the following:- 1. Find Maclaurin's series f(x) = e√2x. 2. If f(x, y) = 0, find is - d²y dx²

A: The objective of the first part of the question is to find the Maclaurin's series for the function…

Q: 2) Consider the function h(1) = (1 - 1)e-z (a) Find all critical points of the function. (b) Use…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: give the derivative of y = x^6

A: Solution-

Q: Solve cos(8) decimal places. 0 0.2 for solutions on the interval 0 ≤ 0 < 2. Write your answer(s) in…

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Q: pln 2 3x² ex [1,² -1 dx

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Evaluate the integral ff y dA. Where R is region bounded by three lines: y = 1, y = -2x + 9 & y =…

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Q: Find all the second order 2 f(x, y) = x² + y - e²+y 1 partial derivatives

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Q: Suppose f(x) = In f'(x) = ex4 (x-7) X Find f'(x). (Hint: Apply the laws of logarithms to f(x) before…

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Q: Use analytical methods to evaluate the following limit. 1 X+6 lim X--6* 1 √x+6

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Q: (a) Suppose that the velocity function of a particle moving along a coordinate line is v (t) = 9³…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the length of the curve. L = r (t) = 9ti + 12t j + 9t²k, 0 ≤ t ≤ 3

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Q: If the total cost function for producing x lamps is C(x) = 960 + 37x + 0.6x² dollars, producing how…

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Q: Given the following functions, find the following combinations and their domains. Sim- plify fully.…

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Q: Please help me with this thank you!

A: The objective of this question is to apply the chain rule in calculus to find the derivative of the…

Q: Find a vector function that represents the curve of intersection of the paraboloid z = 3x² + 2y² and…

A: To find a vector functionwheny=4x2z=3x2+2y2

Q: Find all points (x,y) on the graph of f(x)=2x²-3x with tangent lines parallel to the line y = 13x+1.…

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Q: Find the limit, if it exists, or type N if it does not exist. (x + 25y)² x² +25²y² lim (x,y) →(0,0)

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Q: Construct a Sign Chart for the following polynomial function and state the intervals where this…

A: F(x)=-2(3-2x)(x-3)^2(x^2+1)

Q: A rancher has 100 feet of fencing to enclose two adjacent rectangular corrals, as shown in the…

A: The area of the rectangular corral is .The objective is to find the value of  that has the maximum…

Q: Give the derivative of y=.

A: The given function

Q: The length and width of a rectangle are measured as 23 cm and 52 cm, respectively, with an error in…

A: Let length of the rectangle denoted by x Let width of the rectangle denoted by y As we know the area…

Q: Find the exact length of the curve. y = 4 + 2x3/2, 0≤x≤ 1

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Q: 5. Let f(x) = 3x³ + 2x + x+ 1 x²+x-2 . What types of asymptotes does f(x) have? horizontal and…

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Q: 4. Using long division, find the quotient when f(x)=6x³-5x²-30x+2+ (3x+2). Quotient=

A: Quotient : 2x2-3x-8Explanation:For any query with the solution please ask in the comment box.

Q: Find a positive value of k such that the average value of f(x) = √6x over the interval [0, k] is 20.…

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Q: 1. For each of the sequence (an} below, determine if the sequence an converges or diverges, and find…

A: The nth term of given sequence(b) (d)

Q: Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t)…

A: To find the domain of the following vector functions.

Q: If f(x) = 3 + - LO 5 5 2 12 3 Find f'(3). x 5 6 + X 22 find f'(x).

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Q: #1 & 2: A polynomial has roots 41, 2, and - Its standard form equation has integer coefficients. 1.…

A: 1)Factored form is f(x)=(x2+16)(x−2)(2x+3)  2) Standard form is: f(x)=2x4−x3+26x2−16x−96Explanation:

Q: Compute the indicated quantity. (Round your answer to the nearest cent.) A $5,000 investment earns…

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