13元 At what point on the unit circle, does the angle 3 lay? A B C D (售) () (售亭)

Q: Classify each differential equation as separable, linear, homogeneous, bernoulli equation. Some…

A: Given differential equation,dydx= 6y + y2

Q: 2. The booster club has 10 people running for the offices of president, vice-president, secretary…

A: Given:    Total no.of people =10   For president, we have 10 choices,   No.of ways =10C1 For…

Q: Determine the derivative of = x³. f(x) = x³ when 2. f'(x) 3. f'(x) 4. f'(x) = 5. f'(x) 6. f'(x) =…

A: f(x)=x5xlnxn=nlnxd dx(lnx=1xd dx(a.b)=a×dbdx+b×dadx

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. để tế + ≤x≤1 2x'…

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Q: w=f(u) + g(v), where u = x+iy, v=x-iy, and i=√√√-1. Show that w satisfies the Laplace equation wy +…

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Q: Can you please answer this question point 1,2 and 3

A: here we have to find the point of discontinuity.

Q: Assume A = A₁ + A₂ and A, B = 0. If A₂ = kB, show that k = ● (5) (6) Use the formula x = r' (t)…

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Q: time t. Find the particle's velocity and acceleration vecto

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Q: Differentiate. y' = y = t² + 3 t4 - 2t² + 5 X

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Q: Consider the function f. Evaluate the following limit. Lim X-2x+1 X+-3 2)Lim X²-4 X-2 1-5XH 3) Lim…

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Q: Let x5/2+y-¹/2 = 8. Use implicit differentiation to find the values of the coefficients and…

A: Given equation:- x52+y-12=8

Q: Suppose that f(5) = 3, f'(5) = 9, g(5) = -4, and g'(5) = 6. Find the following values. (a) (fg)'(5)…

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Q: Use implicit differentiation to find y'. x2/3 + y2/3 = 4 > y': = - Vy 3 V x Find an equation of the…

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Q: Find the derivative of the function using the definition of derivative. 4t t + 1 G'(t) = G(t) =…

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Q: answer

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Q: lim x→1 3x - 3 sin (x - 1) ||

A: Given; Limx-1(3x-3) /Sin(x-1).

Q: 5. Show that the sum of the intercepts of the tangent to the parabola (Art. 129), x+y=a¹, is equal…

A: We need to prove given theorem.

Q: Find the derivative of the function using the definition of derivative. y = √x y'

A: Here we have to find the derivative.

Q: Suppose that y is a differentiable function of x and w = cos(y5). dy Express the derivative of w…

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Q: x2-4x+4 is equal to or less than 0. Solve the inequality

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Q: Question 1 ** A race-car starts at the 3 o'clock position and drives counterclockwise on a circular…

A: Given that starting position is 3 o'clock and drives counterclockwise on a circular track with…

Q: If f(x)=√√6x, then f(x+h)-f(x) h lim h→0

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Q: What is the integrating factor of the differential equation y'=cscx-ycotx ? a. tan x c. sinx b. secx…

A: Given differential equation y'= cscx - ycotx

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 4x = y² + 20, 8…

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Q: What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? a. y =√√5x-1 c. y =√√5x+2 b. y…

A: Given differential equation 2xyy' = 1 + y2

Q: then compute f'(4). f(x) = x³ + 2x² x√x

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Q: 3 4/3 Find the length of the curve y = -x 4 3 2/3 8²4+ ²13. ·X +8 for 1 ≤x≤ 8.

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Q: . Find the equations of the tangent line and the normal line to the curve 3r O at the point (0 A

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Q: A certain radioactive substance has a half-life of 38 hr. Find how long it takes for 90% of the…

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Q: Find y' for (ry)”/” – 64 at the point (4,4). (wy)³/2 C At (4, 4), g' DE

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Q: Evaluate the integral (√3+1)x√3 2 2 dx = dx. [(√3+1)x √²³6 (Type an exact answer, using radicals as…

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Q: 7. S= dx 5x 4-5x+1

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Q: A line passes through the point (1, 8) and has a slope of -6. Write an equation in slope-intercept…

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Q: f(x, y) = 2e cos y, (a, b) = (0,7). a. Calculate the directional derivative of f at the point (a, b)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the critical point of the function f(x, y) = 6 + 5x + x² + 2y — 4y² This critical point is a:…

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Q: Set up the integral that gives the area of the given surface. In 5 [ 2x [(0² +1 2 0 (ex +e=y)` 1+…

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Q: The temperature T = T(x,y) in °C at point (x,y) satisfies Tx(1,8) = 5 and Ty(1,8)= -3. If x=³t-3 cm…

A: To find the rate of change of temperature

Q: 1. The equation of motion for a particular object is s = (a) Find the velocity and acceleration as…

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Q: . S(2y + 3)² √y+ 2 dy

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Q: 5. Consider the multivariable limit r³y lim (z,y)-(0,0) + y² (a) Compute the limit along the paths…

A: To find:- limx,y→0,0x3yx6+y2

Q: Consider the following sequence: W-GI 6n {an} = 5n² √√√n=1 Use the ratio +00 an+1 to show that the…

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Q: Let h(t) Then h' (t) is h' (3) is 2+3.2 = h'' (t) is and h'' (3) is 6t-3.2

A: Let ht=2t3.2-6t-3.2.Then find  h't,h'3,h''t and h''3.

Q: Evaluate the following integral. 2 [(1 + Inx)x* dx 2 f(1+ In xxx d dx = (Type an exact answer.)

A: We have to slove above integral

Q: Can you show me the steps how to simplified this equation. I am having trouble with the square…

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Q: 1. Let f (x, y) = 14 — x² - y² and P = (1,2). Find the directional derivative of f at P in the…

A: To find the directional derivative of given function

Q: Complete the following problems, Please show all your work and make sure you have answered all the…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper…

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Q: Find the derivative of the function using the definition of derivative. h(v) = 6v² - 5 h'(v) =

A: h(v)=6v2-5according to defination of derivative h'(v)=limh→0h(v+h)-h(v)h

Q: Question #4 - Find the following for the function f(x)=x²³-6x² +9x+1 a) The coordinates for the…

A: Given: fx=x3-6x2+9x+1 To find: Relative extrema, interval in which function increases or decreases,…

Q: Solve B. And C. With given differential equation dy/dx=(2-y)/x

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