Find the coefficient a of the term in the expansion of the binamial. Binomial (3x-ay): Term 2 8 ax

Q: 10. y = cos In 7x6

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Q: Sx²cos(2x)cx Evaluate:

A: This is a problem of integration. Based on the multiplication rule of integration we will solve this…

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A: As we know that; The Power rule; ∫xndx=xn+1n+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C   (a). Given:…

Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist. Use the o…

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Q: A cylindrical can is to be made to hold 1 L of oil. Find the dimensions (in cms) that will minimize…

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Q: y = cosx sinx

A: Given query is to the derivative of the expression.

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

A: Solution of question is written in below steps.

Q: sin“ (x)dx 4

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Q: Two vectors beginning at the same vertex of a triangle are ⟨-5,3⟩ and ⟨3,5⟩. Choose the correct…

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Q: dy Q10., Solve (1+ x²) + y = tan¬1x. dx

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Q: Find all zeros of f(x) = x° – 7x + 12x – 6. Enter the zeros separated by commas. Enter exact value,…

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Q: 2. Verify that the given function u=e* sin y is harmonic and then find a harmonic conjugate of u.…

A: For function to be harmonic, del^2(U) = 0.

Q: Differentiate the function In x f(x) = In 2x+3'

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Q: 3n! 3n! Find lim State whether 2n=1 converges or diverges. n→∞ 4n!-1) 4n!-1

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Q: n3 - 2 Lt 2n' + 3n – 4 Find n+00

A: Given query is to find indicated limits.

Q: Give what is asked. Find dy/dx. Show your solution.

A: Simplify the equation and differentiate it.

Q: Find the Taylor series generated by f at x = a. f(x) =, 1 a = 6 (- 1)"(n+ 1)(x – 6)" Q A. 2

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Q: Application 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of a and b ommus icotion

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Q: 11 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: topic - application of derivatives

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k v = 7i + j – k O…

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Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

Q: Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i +…

A: Answer as follows

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: y(x) = x³ (2x – x²)

A: Given: yx=x232x-x2   As we know that; The Power law; ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g'

Q: (2x-3 ifx22 6. f(x)= -2x+2 if x< 2 if x2-2 x+2 7. f(x)=-x-1 ifx<-2

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –…

A: Let's find.

Q: Find dy/dx by implicit differentiation. tan(x – y) 7 + x2 y' =

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Q: Select the correct graph of y = sinx, y = 0.2, and y = – 0.2. 03 Figure 1 Figure 2

A: We have to use properties of functions to solve the

Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

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Q: Let F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) = (x + e*)*, Determine the…

A: The given function,  Gx=x+ex2

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the area bounded by the curve 2x2 + 4x + y – 0 and the line y + x = 0

A: To find the area of region bounded by the given curves.

Q: dx x Vx² +3 2

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k %3D v = 7i +j- k O…

A: Given u = -7i + 48j - k v = 7i + j - k

Q: Given the following vectors ā = -1,–2),5 = (-3,-4),c = 2,-1),đ = (-4,3) %3D Use the dot product and…

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Q: The coefficient of Ssin(x) in the antiderivative of is 15/32 (use fraction form not decimal no…

A: Given

Q: Use the Ratio Test to find the radius of convergence of 2n= 10 (Use symbolic notation and fractions…

A: Solution of question is written in below steps.

Q: Evaluate: Jx?cos(2x)dx (A None of the above 2x sin(2x) – 2xcos(2x) + sin(2x) (B +C 4 2x?sin(2x) +…

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Q: Find the centroid of the region bounded by the given curves: y = 1 + 2x2 ; y = 3 ; x = 0

A: To find the centroid of the region bounded by curves: y=1+2x2,y=3,x=0 The bounded region is:

Q: 5. Differentiate a function where you have "y" and "x" on both sides of the equation and they cannot…

A: The given equation is 2y=3xy2+x2 ......................................... (1)  Differentiate with…

Q: A bacteria grows using the given model: dB/dt = 0.2B(1 - (B/100)) ; B(0) = 5 Find B(t). Find the…

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Q: Q4. The degree of the equation is dy d²y dx dx?

A: degree it is the degree of higher order derivative term here higher order derivative is d2y/dx2…

Q: Let fand g be the functions in the table below. f(x) g(x) f '(x) g'(x) 1 2. 4 2 3 7 3 1. 7 9 (a) If…

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Q: Find the supply equation using the given information. (Let x be the number of items.) At a price of…

A: We have to find the supply equation using the given information.

Q: Let F(x) = f(x) + g(x)e*+h(x)e2x+ C be the antiderivative of G(x) =(x+ e")* Determine the value of…

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Q: Question 3 <0 <t Given Cos(0): 5 and 2 ,what is the value of cos(20)? -21 A 5 B 7 25 16 D 25

A: This question is based on Trigonometric equation.

Q: Find the interval of convergence of 5 (x - 9)" In (5n) n=2

A: Solution of question is written in below steps.

Q: 10. Find f if f"(t) = 2/Vt, f(4) = 10, f'(4) =7. %3D %3D

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