What must be the value of y if u = (1/3, y, -1/2), v = (6, 1/8, 10), and u · v = -5/2. 3 1 4 O 2

Q: .3 1 dx=? 2 x² – 4x+5 Hide answer choices a A 4 4 C 1+ B

A: Calculate the definite integral in the following way:-

Q: Dis cuss ond gra ph fcx) = =3x+2 2X-4

A:

Q: 5. What kind of variation the equation, A=bh?

A: Given, the equation                      A=12bh

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

Q: If 3y-5x = 7, then at (-1,2) is dx %3D

A: This problem can be solved by differentiating the given implicit equation w. r. t x and then finding…

Q: Evaluate. [(122 - 9x 2) dx S(122 - 9x +2) . (Use C as the arbitrary constant.) dx =

A:

Q: 5 Suppose that c· 4 ( +d• -5 Find the values of c and d. c = d =

A: It is given that Suppose that

Q: Find dy. y=28+13x-2x

A:

Q: 4-S cosh? Vx dx x csch vx

A:

Q: d 7. { x7 +1 Væ5 + 1 dx

A:

Q: aluate. v2

A: Integration: ∫-12(-x2+x+2)dxWe know∫xndx=xn+1n+1

Q: If 9x/4y = 1 and y = 18 , what is the value of x?

A: Simplify the equation and put value of y we get the x,

Q: Evalu

A: Given, I=∫-12∫z2z∫0ydx dy dz To Find: Value of I

Q: r4 3 +1 d y? 1

A: We will solve the problem

Q: z equals 1 If 1, then וא

A:

Q: х. 6. Evaluate dr

A:

Q: If y is directly proportional to x, and y = 56 ​when x = 6, what is the value of x when y =   84?​

A:

Q: d х [S* dx] Vx² + 2x dx

A:

Q: -1 -x d. Let A = 2 2 1 2 i. |A| =

A: Given that: A=-x-1-xx2x212

Q: 0 KIN KIN π 2 2 ²/² 02 sin o dr do de 0

A:

Q: 6 15 10 /3х - 2 12 D C

A:

Q: 7. Evaluate the following: (2x2y 2+2y)dy dx A. 3.0 B. 5.4 С. 2.3 D. 4.9

A: Given query is to find the value of the integral.

Q: 4. (x? — у?)dx — 2хydy %3D 0

A:

Q: 4. Let c vary directly as d. If c = 210 when d = 35, what is the equation of variation?

A:

Q: If a/b=2, what id the value of 4b/a?

A: Given,          ab=2

Q: What is the magnitude of a=?

A: a=<−1,0,2>To find its magnitude

Q: dx. x2 V1+ x2 Evaluate

A:

Q: 27. Find S." ( + 2x + 6) dx

A:

Q: 1. Find dx. x2 + 64

A: I = ∫1x2x2 + 64 dxLet x = 8 tanθ     dx = 8 sec2 θ dθx2 + 64 = 64 tan2θ + 64                 = 64…