Evaluate: x²dx 1. - 3 (x²+16)7

Q: 6x² Evaluate the integral: 100 – x2

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Q: Let α(x) = ex2 . Verify the identity (α(x)y)' = α(x)(y' + 2xy) and explain how it is used to find…

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Q: proof that a³(3a + 4) (x² + y) dA 36

A: See the attachment

Q: 3. JX)=3X - g(x)=35x-30X+3 are ortnogonai each ther on [-1, 1].

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Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: 6. Complete the square to get an equivalent expression: 7-6x – x² No integration necessary on this…

A: 6 Given expression is 7−6x−x2. We have to complete the square to get the equivalent expression…

Q: Evaluate integral the 6x ..d. (x²+4)(2x-2)

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Q: Let A = %3D {x €N|2 < x < 7|} . What is n(A)?

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Q: 10. Solve for x: 5x- 2(x + 1) = 10. %3D

A: Given equation,                         5x-2(x+1)=10

Q: 54. f(x) = 3 – 2x² +x³, [a, b] = [-1,1] %3D

A: Given. 54) f(x)=3-2x2+x3,[a,b]=[-1,1]

Q: x+x2-21x+24 4. Evaluate the Integral: x2+2x-8

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Q: аги аги + дх2 т дуг = 0 =

A: We have to solve given problem:

Q: Use algebra tiles to solve-3x = -12. -1 -1 -1-1 -X-X-X = -1|-1-1-1 -1-1-1-1 X D= Submit

A: Solution

Q: Exampi r(x) = (/2x + 1 - x²)-1 %3D "(x) =

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

Q: 2. +-3x-1 x2メ+S

A: We have to find the limit of the function f(x)=x2+3x-1x2-6x+5, Also graph the function.

Q: 19. h(x) = 3x- 12x-4 %3D

A: 19  Consider the equation hx=3x2−12x−4

Q: Vx+4 -3 3. Evaluatelim x-5 Show your complete x-5 solution.

A: topic - limits

Q: Use the intermediate value theorem to show that the equation x3+4x=1 must have at least one solution

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Q: Find abs. max 8 min f(xeg) = x²-3y² - 2x + 6y | on R: square which vertices Coc0)r (200] (2ィ2),(o/2)

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Q: we have to evaluate the intepd 3-27-n² d7 -(-27-2)-1 write x us

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Q: Maximize Q= 4xy", where x and y are positive numbers such that x+ y =11. %3! (Type an exact answer,…

A: given function :

Q: (x* + 1) (x²-2x ti>

A: Given  I=∫dxx2+1x2-2x+1 Apply partial fraction decomposition 1x2+1x2-2x+1=Ax+Bx2+1+Cx+Dx2-2x+1…

Q: 2. f(x) = V2x + 3, a = 3 %3D

A: 2) f(x)=2x+3,  a=3  slope of tangent line is m= dydxm=122x+3×2   m=12x+3Substitute x=3⇒m=12(3)+3…

Q: 4. Let X € R"xm. Show that x™x >0.

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Q: es AB3: Let h(x) = - Find h'(6). 3x %3D 3

A: Here we have,  h(x)=eg(x)3x ....................(1)  we have to find h'(6)=? Now differentiate…

Q: Find the maximum of f (x, y) = 5y² + 5xy – 5x² on the square domain 0 < x < 6, 0 < y < 6. (Give an…

A: Given the function

Q: O INTENATUNAL SCHUUL Find the condition for 2x² +3kx + 4c to be positive for all real values of .

A: To find the condition for 2x2+3kx+4c  to be positive for all real values of x.

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: How many total solutions can the following funnction have? F(x)=3x^8+6x^4-2x^2+5x-4

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Q: Graph each function.

A: Graph of the function can be drawn with the help of the smooth joining of the points that lie on the…

Q: Smpily by moltipyong (x + 6i)(x-6i) paygomia with こro X-9。 End a

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Q: Find positive integers that satisfy x + y + z = 6 x + 5y + 8z = 35 x = i ! y = i

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Q: Q2 Indeterminate form 0/0 0/2 O

A: Here, Option A is correct answer.

Q: Solve the inequality for u: µ – x| < Vn (Do not rationalize the denominato)

A: First we get rid of the absolute sign Subtract mu from each side

Q: 4x+4

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Q: Dtermine whether the statement makes sense or does not make sense, and explain your reasoning: I…

A: Given 3x-34xx-1

Q: Evaluate the definite integral (6x2 – 4x + 7) dæ - 3.

A: Evaluate : ∫366x2-4x+7dx

Q: 2x + 1 -de J (3x – 1) (x² + 2x + 2) Evaluate:

A: Given: I=∫2x+1(3x−1)(x2+2x+2)dx

Q: x2 + 4x + 13 12

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Q: dr Evaluate the integral (4x – 2²)3/2

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Q: 2) h(x) = x– 2 %3D

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Q: S 1+ Vxdx 3

A: We need to evaluate the integral

Q: 12x 3 3 15 12 x4

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Q: -5x-5 2. Find the integral: x'+x -2

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Q: 1. Classify-2x-+ &r + 12 by degree. a. quartic b. quintic c. quadratic d. cubic

A: Degree is the greatest exponent in the given polynomial.

Q: 8 - 7V + 19x – 6. + 14e6x Evaluate show the work.) x4 + V11 dr. (You don't have to

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Differentiate: x²y – xy² + x² – y² = 0

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Q: <) = x6 – x – 1 ection method eving an accur

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