function f is (-7,-3) and the range of f is 0,5, state the domain and range of f^(-1).

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A: NOTE: Refresh your page if you can't see any equations. . x=length of the rectangle y=width of the…

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Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

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Q: A rectangular cardboard, 100cm by 40 cm, is going to be used to make a rectangular box with an ioen…

A: Given: A rectangular cardboard, 100cm by 40 cm, is going to be used to make a rectangular box with…

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Q: Let F(t) = Find a parametric equation of the line tangent to r(t) at the point (157, 16, 4.159)…

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Q: log10 (270) + log10 (90)- 5 log₁0 (3) =

A: log10(270) + log10(90) - 5log10(3)=___

Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. ∞ 1 2η…

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Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (3, -2) and the direction in…

A: The function is given by fx, y = lnx2+y2 The point is x0, y0 = 3, -2 To evaluate: The maximum rate…

Q: How many different solutions are there to the equation x+y+z=15 subject to the following constraints…

A: x y z 2 3 10   4 9   5 8   6 7   7 6   8 5   9 4

Q: 1. Evaluate: f (2x+3)dx x²+2x+5

A: As per our guild line we are supposed to answer only one question please repost other questions as…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy² cos(y) 6x² + y² 4 lim…

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Q: 2. Investigate the convergence or divergence of the following improper integrals a) f(x-1)e-*dx…

A: 2. a) Since there is infinity in the upper bound, this is improper integral of type 1.

Q: Use the appropriate methods to solve the integralss in the picture below

A: We have to evaluate the given integrals.

Q: Calculate the volume of the solid obtained if the plane region R bounded by y=x and x= 4y - y2 is…

A: y=x and x=4y-y2

Q: 1, Compute the Euclidean distance between the sets of points below. a. ​(2​,4​)and ​(9​,3​) b.…

A: a) two point in 2 dimension is (2, 4) and (9, 3)  b) two point in 3 dimension is (11, -3, 30) and…

Q: For the function graphed below, estimate the point of greatest curvature to

A: NOTE: Refresh your page if you can't see any equations. .

Q: Decide whether or not the functions are inverses of each other. 1 f(x) = 5x + 25, g(x) = x-5 No O…

A: fx=5x+25 gx=15x-5 fgx=f15x-5=515x-5+25 fgx=x-25+25 fgx=x

Q: Find the area of the region bounded by the curves x4- 9x2 and x3 - 9x between −3 ≤ x ≤ 3. Show all…

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Q: The mean value of the function f(x)=2.9x25 from x=0.7 to x = 2.9 is

A: Let a function f( x )  if we want to find the mean value of the function f( x ) from a to b then…

Q: dy dt yet, y(0) = 1

A: Given that dydt=ye-t ,  y(0)=1 here using separation of variable to solve given differential…

Q: Arc Length. If f(x)= 3x³ -10, find the arc length of the graph off from the point A(8,2) to…

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Q: Volume. Find the volume of the solid obtained by rotating the region bounded by y = 8, y = 0…

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Q: Evaluate the integral. 3 x 4x SSS y cos z dx dy dz 000 3 x 4x SS Syc cos z dx dy dz= 000 (Type an…

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Q: 4 2 on the curve y=x²-6x² +4 a) Find the points where the tangent line is horizontal. b) Find all…

A: The slope of a tangent at a point can be easily found by the derivative of the function at that…

Q: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,800 bacteria. Find an…

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Q: 5. h(t) = 6e5t cos(2t) – e¹t -

A: ht=6e5tcos2t-e7tformula used : Leatcosbt=s-as-a2+b2Leat=1s-a

Q: Use the chain rule to find дz əs дz at || Z= sin(0) r дz əs and дz at r = st, 0 = s5 +t5

A: we have given z=sinθr, r=st and θ=s5+t5 we need to find the given partial derivatives

Q: 4 Find f such that f'(x) = - f(x) = 0 √√x f(16) = 44.

A: Given,            f'x=4x , f16=44

Q: inimum value of - 6x - x². 9 5.abs

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Q: In AABC, A = 48°, AB = 27 feet and BC = 21 feet. How many such triangles can exista

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Q: Convert the point (x, y, z) = (-1, - 4, 2) to spherical coordinates. Give answers as positive…

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Q: Set up but do not evaluate a triple integral to find the volume of the solid R bounded above by 2x +…

A: We are asked to setup  triple integral

Q: 9. Let C be the part of the circle with radius 2 and center (0,4) that lies in the left half-plane x…

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Q: Compute ||u||, |v||, and u v for the vectors u = -9i + 3k and v = -5j. .

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Q: )Solve the I.V.P. xy' = 2y + x³e y(1) = 1

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Q: If the graph of f is shown above, what is the value of the following integral?

A: NOTE: Refresh your page if you can't see any equations. . here the graph of the function f(x) is…

Q: [/x dr. dx

A: Use C as arbitrary constant

Q: The formula A = 242e0.03t models the population of a particular city, in thousands, t years after…

A: A = 242×e0.03twhere, t is in years.              A in thousandtake, t = 0 in the year 1998

Q: 1 (2 ;)= 256 log2

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the directional derivative of f(x, y, z) = z³ - x²y at the point (-1, -2, 4) in the direction…

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Q: Given the vector function r(t) = (-t, - 2t³, 5t5 + 1) Find the velocity and acceleration vectors at…

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Q: Evaluate (3x + 3√Y) ds where C is given in the accompanying figure. √(3x + 3√y) ds = (Type an exact…

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