1 1 xa(1 - x)*dx = | x*(1 – x)ªdx Þ(1 – x)ªdx

Q: тӕ 11 if x - 4 If f(x) is a function which is continuous everywhere, then we must have = u

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Q: Solve the first order differential equations (x³ + y4)dx + 8y³xdy = 0 when x = 4, y = 2

A: (x3+y4)dx+8y3xdy=0dividing by dx  on both sides(x3+y4)+8y3xdydx=0dydx=x3+y4-8xy3dydx=-x2y-38-y8xdydx...

Q: Use the linear approximation to estimate Af = f(3.2) – f(3) for f(x) = 13 1+x? (Use decimal notation...

A: NOTE: Refresh your page if you can't see any equations. . take x=3 the point on the curve is 

Q: Set f(x)= e=x². (a) What is the symmetry of the graph? (b) On what intervals does the function incre...

A: Given : f(x) = e-x²

Q: Consider the following. y = tx2 + t°x dy Find dx dy dx dy Find dt dy dt II II

A: y= tx2+t9x  1) find dy/dx  2) find dy/dt 

Q: 3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in term...

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Q: dx Evaluate: a) - x² +4x + 20

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Q: There is a relationship between perceived corruption and human development in a country that can be ...

A: Given  H(x)=0.3+0.28 In x                 where H(x) is Human development index                     ...

Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at w...

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Q: In (1+x) lim

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Q: Write A if the function is continuous and B if not. 1. f (x) = x² + 2x + 1 at x = 2 2. f (x) = x² - ...

A: we need to identify that given function is continuous or  not

Q: Evaluate the following indefinite integral + 1)Vx – 2dx

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Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided , aa'≠bb'.T...

Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h = 0...

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557             -0.193       3.5 -0.3507   0.0139     ...

Q: if a 2 Compute the quantities below. Write "DNE" if the limit does not exist or the value is undefin...

A: Given that: f(x)=7x+7     if    x≤27x-8      if   x>2

Q: / f'(x) sin x dx = 8, / f(x) cos x dx?

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Q: (V1 + sin x cOS x dx

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Q: Complete the table. 4 lim f(x) X→3° -3 = -00 lim f(x) %3D X--00 lim f(x) -2 -1 6 7 8 %3D X→+0 -1 lim...

A: Topic = Limits

Q: Vx+I dx. Vx +1

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Q: 9. ſ csc 3x dx 10. S sin x e cosxdx CoSx

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Q: h(x) =x tan (2/x) + 8

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Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: Find the derivative of the function using the definition of derivative. V F(v) = v + 9 F'(V) =

A: NOTE: Refresh your page if you can't see any equations. . substitute v+h for v

Q: Continuity of Functions on an Interval Determine if the given function is continuous on each of the ...

A: topic - functions and continuity

Q: Problem 2. A Bernoulli differential equation is one of the form dy + P(x)y= Q(x)y" (*) dr Observe th...

A: First order differential equation : Consider the first order differential equation             dydx+...

Q: dy VE (1 + y?/7) 21

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Q: Evaluate the limit using the appropriate properties of limits. 4x2 - 7 lim 3x + x - 3

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Q: Find all first and second order partial derivatives of the function f(x,y) = x^3 sin(xy^2) + 3(x^4)y...

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Q: write the standard form of the equation of the circle with the given characteristics. Center: (-1, 2...

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Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...

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Q: Evaluate the integral. | 8xex dx

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Q: 1. [(x + 1)(3x – 2) dx

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Q: Use the Shell Method to calculate the volume of rotation, V, about the r-axis for the region underne...

A: Here, the region is bounded by the curve: y=(x-2)13-2, x-axis and 10≤x≤218  

Q: z = x2 + y?, y = x²,y = 1, z = 0.

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Q: g(x) is the graph of f(x) shifted down 3 units and left 4 units, write a formula x)= ter Vx as sqrt(...

A: Given: f(x)= 4√x

Q: A function f(x) has derivative f'(x)= 3x²+ 18x. The graph of f has an x- intercept at x = -1. Find f...

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Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show you...

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Q: C. MULTIPLE CHOICE. Write the letter of the correct answer. 1) Which of the following is a critical ...

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Q: What is the critical point of the function f (x) = cos x?

A: what is the critical point of f(x)=cos(x)? for critical point, f'(x)=0

Q: 5. A wooden block is made as shown in the diagram. The ends are right-angled triangles having sides ...

A: Given Total surface area = 7.200 cm2

Q: Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 5...

A: The Hooke's states that the force is proportional to displacement x. Which means F=kx Where k=Propor...

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). r -00 -4x2 -3+ 2x f(æ) =...

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Q: ". standard deviation is always positive

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Q: Complete the table. lim f(x) %3D х—-11 = -6 12 lim f(x) %3D -12 -10 -s -6 F4 -2 1 6 10 12 x→-2 = 3 =...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Find the volume of the solid obtained by rotating this region about the line x = 3.

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Q: 3. Find the integral x² +12x +12 dx x' - 4x

A: Given,            ∫x2+12x+12x3-4xdx

Q: X´- 2x - 63 Find the limits in a) through c) below for the function f(x)= Use – ∞ and o when appropr...

A: Given that: f(x)=x2-2x-63x-9

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). I-00 f(x) = -3x* Provide...

A: topic - limits

Q: 16 dx

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Q: On the graph of f(x) apply. = sec x and the interval (-2n, 27), for what value of x does f(x) = 1? C...

A: f(x)=secxf(x)=1