18 Find J4 dx.

Q: dx x2 - 2x + 82 ||

A: Formula used     ∫  1/(u^2+1) du = tan^-1(u) + c

Q: 9) Find 5-2x - dx

A: Given: Find d2dx25-2x for finding second derivative, we find first derivative then find derivative…

Q: 0 = AE(0.405D₁ + 0.096D₂) -2 = AE(0.096D₁ + 0.128D₂)

A:

Q: Determine d2y dx2 , if 2x3 − 3y2 + 7xy = 0

A: We can make it easier for you

Q: Find the antiderivative of  x4(5x5 + 1)5

A: To find out the antiderivative we use u- substitution method

Q: B S x4+5x³-6x² +18 x³ + 3x² dx.

A:

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

Q: T(t)= (1,1,2t), 0≤t≤ 2. √1+51² Suppose that the tangent vector of r(t) has magnitude ✓1+5t². (a) (b)…

A: c. Hint: It is given that T(t)=11+5t21,t,2t,0≤t≤2 Now, to obtain the principal unit normal vector…

Q: Find two First terms whose product is 3x. 3x? – 13xy + 4y² = (3x ?y)(x ?y)

A: Given that, 3x2-13xy+4y2=3x    ?yx   ?y

Q: Find unit tangent vector u(t), unit normal vector p(t), binormal vector b(t), curvature K(t) and…

A:

Q: 2p- dz 3.

A: We first factor the numerator and denominator to simplify

Q: dx 9 + x2

A: Integrating the function of the standard form we have,

Q: z = b +, for a + 9 = . a

A:

Q: dz 22 z²+4z S

A:

Q: 7 x2 dx + 4x + 20 13

A:

Q: csc² 6. 2 2 Cs dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

Q: 2 6² 6² S (3x + 4y) 5dxdy 0 Find

A: We need to evaluate :

Q: B = 5 3 -3 -2 1\ 0 1 2 1

A:

Q: needed. That way you'll have better chance x2 + + 2x +3 dx x3 +3x2 + 9x a. #13. 26+

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

Q: 4. Show/prove whether the following is a subspace. {x € R3:x =| 3 +s 2+t| 1 ,for s,t e R} 2

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Q: You are given the graph of a function f. 411 -3-2-1 123 -1+ Determine the intervals where the graph…

A: Concave upward, concave downward and inflection point can be determined from the following figure

Q: Rumors of a Run on a Bank The graph of the function f shows the total deposits with a bank t days…

A: We will evaluate the behavior of the derivative of the function by function increasing or decreasing…

Q: Assembly Time of a Worker In the following graph, N(t) gives the number of smartphones assembled by…

A: Consider the given graph:

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

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Q: .2 y = 4 - x² and x +y = 2.

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Q: Q. z =2+5i

A: Given complex number

Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: Solve the second order. Dieg - Ý - ý syes 1 39

A:

Q: 2x3- x² + x + 2 dx = D dx find A+B+ C+D. + x+1 + Consider x4 + x3 4 O 3 O 2 O 5

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Q: x+4 c) Evaluate dx х3 + 3x2+ 2х

A: We have to evaluate the given integral.

Q: x3-3 5). S dx V x11

A:

Q: a2– x2 (x+y)dæ dy

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Q: x+1 3. Jx2 + 2x

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Q: e2x 4. dx e2a + 3e + 2

A:

Q: 42 x2 dx =. V(73 + 14) 42 / (x3 + 14)+ C V 28 V (x3 + 14) + C 14 (x3 + 14) + C 84 / (x3 + 14) + C

A: From the basic integration

Q: x- dx = %3D

A: Given:

Q: tind y 3 O y=(++ y =9tan 4 ® y= x (2x+1) (4) %3D 1-VX

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: