Choose the correct graph of y = cos x, < x<: 2 1 27 -3. 3.7 -1 -2

Q: ydx = x + Vy² – x² dy

A: Given that: ydx=x+y2-x2dy

Q: Agree. Disagree 1. Is it correct to say that we can only get an estimate of a limit? Why do You say ...

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Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x dydx=C1(e2x3(-sin3x)+2e2xcos3x)+C2(e2x3cos3...

Q: Let f(x)=2x2+12, and let   r(x)=sqrt(9x) for x>0. Find a simplified formula for the composite functi...

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Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: Evaluate tan xdx O -V2 0 2 In 못 2 In 꽃 O -2 1n v2

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Q: 1 A water tank has the shape obtained by rotating the parabola y equals x squared about the y-axis, ...

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Q: |æ – 7| Let us consider lim x→7 x2 – 49 |æ – 7| (a) Find lim 2→7- 22 – 49 Note: Give the exact answe...

A: Follow the procedure given below.

Q: The solution of the equation 3^2x - 3^x+1 +1 = 3^x-1

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Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

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Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Figure of y=x3 , y=1 and x=1

Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: As per our company guidelines, we are supposed to answer only the first question. Kindley reposts ot...

Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=2; y = vx; dy=vdx+ xdv

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Q: II. Application of Derivatives 3. Find the tangent line to f (r) = (2– 4x²)° at z = 1.

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Q: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum v...

A: Topic:-  calculus

Q: 1419857* -dx 4913*

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Q: (t°, 5t, t? – 16t) for t > 0. The position function of a particle is given by F(t) Assuming that vel...

A: Position function of a particle is given by r→t=t2,5t,t2-16t for t≥0 We have to find the time and po...

Q: zetch the region(s) enclosed by the given curves. Find the area oft y = r and y = VI 11

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Q: XV In(5x) We substitute u = In(5x

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Q: II. Solve the following homogeneous differential equations. 1. y'dx-(xy+ y kdy = 0 Let the substitut...

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Q: Find the antiderivative F(x) of f(x)= 3√x that satisfies F(1)=2

A: The given function, f(x)=x3

Q: Homogenoys Equations: Evaluate the DE xdy+(2y-x)dx=0

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Q: P3.A: Find the area bounded by the curve y = (X 2)(x+ 1)(2x - 1) and x-axis.

A: Given curve is y=(x-2)(x+1)(2x-1) area between curve and x axis is required to find.  

Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

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Q: The function in the figure below has f(4) 21 and f' (4) = 1.8. Find the coordinates of the points A,...

A: Given that: f(4)=21, f'(4)=1.8

Q: 7 The amplitude of y = 6 sin x is (if none, choose "none") 2 pi none 6

A: Given :   y = 6 sin x 

Q: dy Find if dx y = u° + 3u and u 4x2 + 1. = %3D dy Preview dx Enter your answer as an expression. Be ...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Solve using homogeneous differential equation x*dy+(2.xy – y² kdx = 0 Let the substitution y=2; y=vx...

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Q: Agree. then lim f(x) does not exist. Disagree 3. If f(a) is undefined, Justify:

A: Given

Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

A: Solution: Given data, dy/dx = 9xey/x +y/x Multiply by differential dx dy = (9xey/x +y/x)dx Divide by...

Q: Given the following, find a. df b. Af a. y =x² – 3x + 4 b. y = 4x – 3x+1, x= 2 and Ar=0.2 1 c. f(x)=...

A: 1st question have not given any value of x . But rest of that are given complete data. We have to fi...

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: Given:     f(x) = 4√x    Interval: [ 0 , 16 ] 

Q: Findthe volume of the solid obtained by rotating the region bounded by the given curves. y=radicalx ...

A: Given Equation y=√x ,x=4 and y=0 

Q: x(/x+y) +у) — 8 — ху

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Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at th...

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Q: A function F is an antiderivative of the function f on an interval I ifLfor all x e 1. (A) F(x) =f (...

A: A function F is an antiderivative of the function f on an interval I if 

Q: Part 1. Setup the integral that will give the mass of a metal rod that is 1l inches long (orientated...

A: length ofrod = 1 inches density of rod ρ=4x lb/in

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible va...

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Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about...

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Q: An employment research company estimates that the value of a recent MBA graduate to an accounting co...

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Q: 7. 11 object A's works out to be the same length of 7 object B's. How many object B's would it take ...

A: Follow the procedure given below.

Q: х ах 2(5+x²)4

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Q: A car is travelling at 72 km/hr. At a certain instant its brakes are applied to produce a constant d...

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Q: 2. lim f(x) and lim f(x) if f(x) = V4-x2 %3D X-2+ X→2- х-2

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Q: (e) limVx ) lim -+(-1)") X-00 n→0 n n²-12345 x2 +9 (g) lim n +1 (h) lim x∞x3 +1

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Q: -20 e cos 30d0

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