Q4. Evaluate the following limits. 1) 2x+y-4 lim (x,y)-(1,2) √√2x+y-2 x²y-xy² lim (x,y)-(1,1) x2-y² 2)

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A: Given: curve y=8x-2x2To Find: Area between the curve and above the x-axis

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A: Let's find derivative of given  function.

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A: Given :y=16-x2

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Q: Find the derivative of the function f(y), below. It may be to your advantage to simplify first. f(y)…

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Q: a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.…

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Q: for the function below, tr domain and the range is respectively y = x²/5

A: We have to find the domain and range

Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

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Q: Q2) A Differentiate the following ( 1)y= [(5x) (4- 2x)]²

A: As per bartleby guidelines we only give first question answers.

Q: for the function below, the domain and the range is respectively y = x²/5

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Q: B- The derivative is y = ln (sec (In 0))

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Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

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Q: 121+ 18 + bh + S2 + b fl

A: We can solve this as follows:

Q: Find the integral which represents the total mass of the triangular region below (see the picture),…

A: Total Mass = ∫∫R δ dA ; where, 'δ' is the density . Note : As per our Guidelines , we can solve…

Q: Q1. Find the half-range sine and cosine Fourier series for f(t) = t in each case. 0 < t < 2. Draw…

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Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

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Q: B) The Value of the integration for the below function shown is : sec²2xdx = [sec²2x+c] tan (2x)+c]…

A: To find out the integration.

Q: D-the derivative is y = In In (VW) 1 +

A: The objective of the question is determine the derivative of the given function.

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A: The volume (V) of a solid generated by revolving the region bounded by y=f(x) and y=0 (x‐axis) on…

Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

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Q: For the next two exercises, use the Ratio Test to determine if each series converges or diverges.…

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Q: Problem 10. Find the interval where f is increasing or decreasing, and find the loca maximum and…

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Q: B- The derivative is y = ln (sec (In 0)) In 0 sec 0 O it is O it's In 0 cos 0 an O another answer…

A: See the details solution in below

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Q: find fxe*dx

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Q: Q.2B) If we substitute the polar coordinate x = r.cose & y = r.sine continuous function w=f(x,y)…

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Q: Consider h(x, y, z) = cos (ry) + e + In (zz) at the point P (1,0, P(1,0,¹). mine the following: (a)…

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Q: which means that and thus 2x 5x + 3 and g(x)= and g'(x) = D II 5x + 3

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Q: Use the Laplace transform to solve the given initial-value problem. Be sure to allow time for…

A: Given IVP y''-5y'=f(t)  , y(0)=1 , y'(0)=-1L(f(t))=8s-4-4s+1

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Q: Find dy dx dy dx if y= x³ + 7x + 5 2² +6

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Q: Solve the differential equation: dx || y+1 *

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Q: Use the following graph of a function f to determine y to the nearest integer for y = f(4). y=9…

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Q: Q.2A) Evaluation: If Z = x.n.f (*), then show that: x. z₁+y. Zy = z

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