Using the following table find value of x if y-12,8 = 10-9 point Po (Xo.Yo) P(x,Y1) P2(X2.Y2) 3 1 4 Ly 2 10 15

Q: dx x+x Vx

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Q: 3-2 P. (4a² b)x3(ab ³) ==

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Q: 8. Evaluate S dx x4+x² + 1

A: To find:- ∫0∞dxx4+x2+1dx

Q: 10. (:x) dx 5

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Q: -(sinox) 6 d dcos³x

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Q: 3cot t-x y = cot +cot 5

A: Some derivative formulas: ddx(f(g(x)))=f'(g(x)).g'(x) ddx(cotx)=-cosec2x ddx(xn)=nxn-1 Given…

Q: Ax+by=c. (For y)

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Q: EX Fin d 1-3X dX -3x) dx

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Q: . If OM = 8 and MY = 9, what does XZ equal? a. 6V7 b. 2V17 c. V145 d. 30

A: Consider the given diagram, it is given that OM=8 and MY=9. here the objective is to find the value…

Q: Find the area of the shaded region. (-5е — 5) 2 y 14 (1, 5e) 12 10 y = 5 e 8 6. 2 y = 5xe -1.0 -0.5…

A: The area of the given shaded region which is bounded by the curve y=5ex , y=5xex2  and x=0  is…

Q: Find the slope: O 4/3 O 3/4 O 4/3 O o O O

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Q: 6x dx. Jo 1+x2 9. Evaluate

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Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: Evaliske the folaing ollow 13x+4

A: "Since you have asked multiple questions in a single request, so we will be able to answer only the…

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: >B(-1, 1, 6) nd the line (L2) throgh C(3.1 -1) D(4, 5 -2) 7 the line

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Q: d2y at the point (2,) 48. Given yax-i.find -1, find - at the point|2, ах x

A: Given:The function y2x2 = 1.The point (2,1/2).

Q: S tanx 1+ COS X JX

A: Given problem:-  ∫tan(x)dx/(1+cos4(x))

Q: Evaluate f5ear² – 2 dx

A: In this question we have to find the integration.

Q: . If the radius of 00 is 13 and XZ = 24, what is the distance from 0 to chord XZ? a. 5 b. 8 с. 11 d.…

A: According to the given information, XZ=24OX=13   Radius of a circle

Q: X4/= 2 -x RP if y=1 Puy SMH

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Q: dy r +3x+3 Find if y= I + 2 da dy da

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

Q: (p – 1) at p=-3

A: The given expression is (p-1)3 at p=-3

Q: dx sex =secx tan X

A: Here we know that  sec(x)=1cos(x) so we have to find out d1cos(x)dx Here we can use  differentiation…

Q: dx. 6. Evaluate: 2x - 1 -1

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Q: Se 3+2tan4x sec²4x(etan4x + 6)°dx

A: LetI=∫ e3+2tan4xsec24xetan4x+69dxI=∫ e3e2tan4xsec24xetan4x+69dxI=∫…

Q: coth (7x - 3) + C B) tanh (7x - 3) +c I sech? (7x - 3) + C tanh (7x - 3) + C

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Q: Mark all points that are on the line y = 4x – 7. O (3, 5) (– 2, – 15) O (4, – 7) O(- 3, – 20)

A: Given : y = 4x - 7

Q: Consider the following. A. y= 13- x|

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Q: 11. Find X. (G.8A-S)

A: The triangle proportionality theorem states that the line that is parallel to one side of the…

Q: i) d87 (x.e") d87

A: Given: xex

Q: S | 22

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Q: a51 - Find ax2@y3 if f(x,y)-x.e z

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Q: dx S x? + x -2

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Q: Q. / 3sec3xtan3xdx sec3x +c -sec3x +c O None O tan3x +oс

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.