x2 dx is (ax2+4)(x2+9)

Q: -2 4x³ – x² + 2x+15 dp- -3 (x- 1)2(x² +4x+5)

A:

Q: What's the counterexample of |x+3|=|x|+3

A: Consider a equation: x+3=x+3……1   Now, counter example means to find a value of x for which above…

Q: 51. y = 3x + (V3 – 5): and y = -J3x + (-/3– s)

A:

Q: What is the coefficient of xy³ when (2y-x)° is expanded by the binomial theorem?

A:

Q: Use the IVT to prove that r-5x2 + 2x = -1 has a solution. %3D

A:

Q: diffelentiate y= In(登) 2X 3.

A:

Q: 5.f (x) %3D In(4x3 — х2 — 2х + 5)

A: Given the function,  f(x)=ln4x3-x2-2x+5 Differentiating the function with respect to x,…

Q: 2x+3y -2 = 4 3X++22= 13 X+ 2y-s2=-

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1. Find a result by using variable separation 101 b- y³y+x³=0

A:

Q: pt of y=x3-4x2+x+6 В. -3,—2. and 1

A:

Q: 24x2 dx V25-x2 30 dx x2Vx² +81

A: By using integration by subsitution method

Q: V72+5/7³+3x -dx

A:

Q: 9x2 - x3 + 4x 8x + 20 dx. Evaluate Since x + 4x = x(x² + 4) can't be factore

A:

Q: tan (csc-' (2x + 1)) 2x+1 a) V4x2+4x O b) 1 V4x2+4x c) V4x2 + 4x O d) 2x + 1

A:

Q: 2y = xx -1-In(x+vx² -1)+c

A: Given the family of curves is 2y=xx2-1-lnx+x2-1+c. Find the orthogonal path of the above curve.

Q: Let a > 9 be a constant. Evaluate 3z2 + 30x + 30 + 4a dz (3x + a)(x² + 6x + 10)

A:

Q: 2dx Evaluate (x – 3) Vx² – 6x + 5 -

A:

Q: xii. dx -x4 V3-2x-

A:

Q: - 4 + e-6x - dx e4x 23)

A:

Q: 9s + 7 F(s) = 2s2 + 2s + 4

A: Given: F(s)=9s+72s2+2s+4

Q: 52. f(æ) = (-1)**(x – 2)". %3D n=1

A: Radius of convergence problem....

Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: - 6x² +15x² ,7x+6 Evaluate:[ dx. V2x² ,2x +1

A:

Q: (x^4+7x^3+10x^2-x-2)/(x+2) How to solve using synthetic divison?

A: Synthetic division

Q: then the ² u - y² is მყ2

A:

Q: 6. y = ekx 7. f(x) = (6x2 + 7x)4 8. g(t) = (4t² - 3t + 2)-2 %3D %3D

A:

Q: dx 4. xV25-x2 5+vx2-25 In + C а. 5 b. In 5+Vx2-25 + C 5+v25-x2 In + C с. -- d. None of the above

A:

Q: (9xi – 3yj ㅠ S x² + y² + 7² = 9 is 2

A:

Q: Find the derivative of function.

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: 10. (x² – 9) – (-2x² + 5x - 3) 11. (5 – 6d – d?) – (-4d - d2) 12. (-4x + 7) – (3x - 7)

A:

Q: (x2-3) Cx²+ 2) S dx J3xx3

A:

Q: 2s Use Convolution to find L-1[- (s²+4)2-

A: Given: L-12ss2+42

Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

Q: Evaluate f(3r2 - V5x + 2)dx.

A:

Q: max z = 3x1 + x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()

A:

Q: - 48x3 – 80x2 – 70x – 126 dx Integrate: 16x2 + 25 + C

A:

Q: Find: 6 ydy-xdx (x2+у?) 0<x<1 & 0<y<1

A: Using green therome and pollar coordinate x=rcos(thetha) and y=rain(thetha)  This is lie in first…

Q: _(2²² + y² + z²)³/²dzdydx 1-z²-yª

A: Given ∫-11∫01-x2∫1-x2-y20(x2+y2+z2)32dzdydx Given instruction: To solve this integral convert…

Q: Evaluate +3 +C 3 3 arctan 6 A. C. -arctan- 2 +C 6 x² /3 -arctan- 6 x² /3 V3 В. -arctan +C D. +C 3 2

A:

Q: 4s2 + 3s %3D s2

A:

Q: [ 1-x+2x²-q³ -d.x 6. x(x²–1)²

A:

Q: : Evaluate: r 2x3-4x2-x-3 dx | х2—2х-3 |

A:

Q: What is the antiderivative of  (x^2 - 70)/2 ?

A: The anti-derivative of a function is a differentiable function whose derivative is equal to the…

Q: In this section, we showed that the rule d/dx1xn2 = nxn - 1is valid for what values of n?

A: given that ddxxn=nxn-1

Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: - To show that AADB (бх — 1)° 48 (4x + 25)° EACBD by AAS, what must be the 48 A' D value of x?

A:

Q: F. V2X²-4x-7 dx X-X

A:

Q: +16x2 dx 4x*-x3 Q4// S- x2-4

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 3 1f y=/xL5x²–3. x_3x²+¥x- 3, X25x²-3 huw that dy 24 ||

A: We have,  y=x4-5x2-36x3-3x2+4x-124

Q: (b) Evaluate [(2.x+5)/x² +5x-8 dx, by using substitution method.

A: We use substitution method