19. (5x2 — у) dx + xdy %3D 0

Q: Correct Consider the function f(x) = 3x - 9x on the interval [-4, 6]. Find the absolute extrema for…

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Q: 2013 2009

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Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

Q: Example 3 Video Example ) Find dx. 2 - 3x2 Solution Let u = 2 - 3x2. Then du = dx, and x dx = du and…

A: Solve the following

Q: Use the acidity model pH = -log[H*], where acidity (pH) is a measure of the hydrogen ion…

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Q: ,00 is deposited in an account with an interest fate of 1200 ) ith respect tor when r is 10.00%. dA…

A: Given query is to find rate of change of amount with respect to r.

Q: Let u(æ) = sin(x) and v() = a = 18 and f(x) (*)a u (2) -| v (2) = u'v – uv f'

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Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: If f(x) = f (x) = = COS 7 tan z, then f'(5) =

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Q: A rotating light is located 17 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: Complete the table for a savings account in which interest is compounded continuously. Initial…

A: We shall use the formula for amount after t years= P(1+r/100) ^t Where r is rate of interest, t is…

Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: Sketch the region enclosed by y = e*", y = e", and x = 1. Find the area of the region.

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Q: Given f(z, y, z) = V31 – 4y + 6z, find fz(x, y, 2) = fy(x, y, z) = f:(1, y, z) = %3D

A: Given :f(x,y,x)=3x-4y+6z

Q: Find the particular solution determined by the initial condition. -17t +7t-6, s(0)3D86 dt The…

A: Solve the following

Q: SX³V1+ 4x2 dx .3

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Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

A: Given problem:- Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere…

Q: Jse one of the formulas below to find the area under one arch of the cycloid x = t – sin(t), y = 1 –…

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Q: e-(x²+y³)(x dx + y dy) = 0

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Q: Mark the critical points on the following graph. 24 18 \12 -5 -4 -3 -2 -1 2 3 4 5 -6- -12 -18 -24…

A: 2 critical points

Q: Rates of Change: Oscillating Spring At Answer the following question, and give a written…

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Q: 10) s) =-2 -2

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Q: Find the exact length of the curve. 1 y = 1 < x < 2 4x

A: The given curve,   y=x33+14x, 1≤x≤2

Q: Find the slope of the tangent line to the curve la? + 4xy – 2y = 185 at the point (- 3, - 4).

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Q: 17. у dx — (х + бу?) dy 3D0 (х + бу?) dy %3D 0-

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Q: Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

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Q: Set up the definite integral required to find the area of the region between the graph of y = 18 – a…

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Q: A recent survey conducted in a nearby town showed that 791 out of 1,495 people do most their holiday…

A: Here, the sample proportion is =7911495=0.5291 Now, for 90% confidence z=1.645

Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: Use long division of pol

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Q: Find the equation of the tangent line to the curve y = 4sec z – 8 cos z at the point 4). The…

A: We can sole this as follows:

Q: d'y-2 dy t g = e dx² ニ dr

A: We will solve the problem.

Q: Given the equation x – 2xy = 4, A. What is the slope of the line tangent to the graph of the…

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Q: 2. The region bounded by the given curves is rotated about the specified axis. Find the volume V of…

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Q: EN tind an equation tor the line tangent to the Lurve at the point defined by the given t, Also find…

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X - 2 2- a. Find lim f(x) or…

A: Given query is to find the Indicated limit.

Q: b) Use the velocity function v(t) = 2e" to compute the distance traveled by an object over the time…

A: The detailed solution is given below  Thank you

Q: If + y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: We have to find the derivative

Q: (a) dz (2z4 + 1)3

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Q: For the function f(x) given below, evaluate lim f(r) and lim f(x). -2+3e 6e + 4 f(z) If the function…

A: We have to find out the limit

Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

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Q: Let g(x) be a differentiable function for which g'(x) > 0 and g"(x)< 0 for all values of x. It is…

A: Given query is to find the possible value for g(7).

Q: PART 1. Complete the table Tre Lf (x) f (x) f'(x) f'(x)dx (2) (1) f(x) = 3x* – 5x³+ 6x2 - r + 7 (1)…

A: The given function is  f(x)=3x4-5x3+6x2-x+7.

Q: (a) 12t – 5t? + 9 dt = +C. (b) u714 TA + 4.5ū du = +C. dx = 5x6 (c) +C.

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Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

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Q: Write expression log z14 as a sum or difference of logarithms with no exponents. Simplify your…

A: Given query is to expand the logarithmic expression.

Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

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Q: y = y (4, 13) 12

A: We will find the exponential function.

Q: Find the area of the shaded region. y 14 y= 7x- x² 12 10 (5, 10) 6 4 2 y=2 x 2 4 6 8 CO

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