Vx(A x B)=(B-V)A-B(V-A)-(A-V)B+ A(V-B)

Q: Differentiate the function and express the final answer in factored form.  f(x) = (2x^3 +…

A: f(x) = (2x3 + 7)100 (3x2 - 8)50 f'(x) = 100*6x2(2x3 + 7)99(3x2 - 8)50 + 50*6x(3x2 - 8)49(2x3 + 7)100…

Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

A:

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: 12 Rewrite with out rational exponents, and simplify, if possible: (169) 2 4n4√√AO 4n 4.5 BO 8n4…

A:

Q: T Shift Ctrl -3 S x²4x +3 2 1 X(X + 1)² dx

A: First we take partial fraction then integrate.

Q: If A = 2x²,-3yz, xz² and qp = 2z - x³y. Evaluate A Vop and A x Vp at the point (1, -1, 1).

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Q: SOLUTION

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Q: Q1/ Find the area of the region bounded by the given curve (y=x²-5) and the curve (x = = -) by means…

A: Given y=x^2-5 & x=-y/4

Q: 5. Ssin' x dx.

A: I am attaching image so that you understand each and every step.

Q: Determine

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Q: Integrate the equation using the method in trigonometric substition

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Q: x² - 2x² + 3x² -x +3 "x²³ - 2x² + 3 3

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Q: 1 Lim x-0* x 1 sin x

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Q: Find ²2 of z = In(xy) 8²y

A: Given: z=lnxy   As we know that; The Power law; ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And…

Q: Find the radius of convergence and interval of convergence of the series –3)”.gn 'n + 1 n=0

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Q: Find the length of the curve y=In (cos x), -≤x≤0. The length of the curve is. (Type an exact…

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Q: (√t-9) dt

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: 5. Given z = arctan (), Find əz/ay

A: We can answer the question as below.

Q: What is the value of C?

A: We have to find the value of C.

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: 13. Convert the rectangular equation to polar form. 1+1=2

A: x2 + y2 = 25 is compare with r2cos2θ + r2sin2θ = r2 so here r = 5 tanθ = x/y tanθ= 1 θ= π/4 so the…

Q: 4. 27x³ − 9x¹ +3y¹ -23x² +13x -7 = 0

A: Find out the derivative of the function.

Q: lim x-0 1+x−1

A: Given problem:-

Q: :- Find the volume of the solid between y = x+1 which obtained the curves y = (x-1)² and by rotation…

A:

Q: 0.7 Estimate f(x) dx from the graph off as 0 shown in figure. Use the trapezoidal rule. Click here…

A: This question can be solved using the formula of trapezoidal rule of approximation of definite…

Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

A:

Q: 3) Let f(x) = 1 + 3x on [-8, 2]. Find the number c that satisfies the mean value theorem. a) O C= b)…

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Q: Given f(x)=4x+1 and g(x)= x²+x-3: Use the disk method to determine the volume of solid obtained by…

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Q: To estimate drug dosages, doctors use a patient’s body surface area (BSA)(in meters squared) using…

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Q: In(x+2) 1. S dx 2x+4 2 2. fx² ex dx 3. f tan³x dx 12

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Q: Question 2 Given a differential equation as d²y dy 2². - -3x- +3y=0. dx² dx By using substitution of…

A: Let's solve diffrential equation by using substitution x=e^t  or t=ln(x).

Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

A:

Q: Numerical Integration: •2 1 [.. -dx Jo √x 1.

A: Numerical integration

Q: Question 2 Given a differential equation as d²y_4x² dy x² +6y=0. dx² dx By using substitution of x =…

A: The given equation is a cauch Euler equation. So we solve the given differential equation with…

Q: 5 L₁ (2.2.²_ (2x² – 3x)dx 2. 2

A: Here we have to solve the given integral.

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A: Given that the width of the sheet is = 4108 inches. On each side turn up 108 inches. So the length…

Q: Integrate the equation using the method in trigonometric

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Q: The Maximum point of y= (x²+2x+10) (x-3)

A: Given    find derivative

Q: Find the following improper integrals a) Ꮭ -dx 1 x2+x ex b) fodr dx e2x+3

A: We have to solve the given improper integration

Q: 1. Solve for x and y in xy + 8 + j(x2y + y) = 4x + 4 + j(xy² + x) A. 2, 2, B. 2,3 C. 3,2 2.…

A: We can find the values of x and y. Note :As per our Guidelines , we can solve first question…

Q: Lim √2+x² X

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Q: Lim √2+x² X

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Q: C004Exp Tweig √2 x, y = 0, and The base of a solid is the region bounded by y x = 4. If every cross…

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Q: Let f be a function such that -² ≤ f(x) ≤ x² for all x ER. Show that f is differentiable at x = 0…

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Q: True or False: Multiplying a vector by a scalar will result in a collinear (parallel) vector.…

A: 5) Here, the statement is Multiplying a vector by a scalar will result in a collinear (parallel)…

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

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Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find d)  The open intervals on which f is concave…

A: Given problem:- Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find   d)  The open intervals on…

Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: If f a system of tow equations in two variables has infinitely many solutions, then it is…

A: Here we have to determine the true and false statements.