8 culate |4x2dx, given the following. 1 7 8 dx = 114 169 2 Xdx = xdx = 24 1 7 1

Q: The plane a+ y-0 intersects the surface 7+ 2:21 along a curve C. Use Lagrange multipliers to find…

A: We have 2 surfaces intersects to form a curve. We need to find the maximum and minimum of a function…

Q: Given: f(x, y) = x³y +exy² find fxy to 9. b. find a³f хепеле

A: Given f(x,y)=x3y+exy2

Q: 1.25a +3> 0.5a-6 and 2.5a 129-1.5a

A:

Q: Given that f(x) 2x+7 %3D 3x-5' determine the equation of f-(x)

A: The given function is fx=2x+73x-5. Let fx=y. y=2x+73x-5 Replace x and y as follows. x=2y+73y-5

Q: -3xdx 8. S: 2x+1

A: The given integral is; -3x/√(2x+1).

Q: 3. Ever wondered what trigonometry is good for? Describe a potential career choice that you can…

A: Trigonometry has various applications in engineering, oceanography, astrology, space science, flight…

Q: At the point P(1,2, 3), a function f(z, y, z) has directional derivative of-4 in the direction…

A: We have to find the value of fy(P).

Q: 1. A spherical balloon is being inflated. The radius, r, of the balloon is 0 cm initially, and is…

A: A spherical  ballon  is  being inflatedAt   t=0   radius of sphere r=0     a  Volume    vr=43π r3…

Q: 5. If f (x) = Vx, g(x) = x + 5 and h(x) = x² – ÷, 1 find the following.

A: Given,            fx=x , gx=x+5  and  hx=x2-1x .

Q: Use truth tables to establish whether the following statement form is a tautology, 6. a…

A: We have to solve given problem:

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: 10.Given f (x) = 9x² + 7x and g(x) = 2 – x. Determine 5g(x) – f(x) a) 9x2 + 6х + 2 b) —9х2 — 12х +…

A: Given Information -  f(x) = 9x2+7xg(x) = 2-x We have to find the value of 5g(x) - f(x).

Q: d. Se-7x+10 dx

A: We have to evaluate the integral.

Q: A retailer is deciding how many of a certain product to stock. The historical probability…

A: Given, A retailer is deciding how many units of a certain product to stock. The historical…

Q: Today is January 1st, 2022. Cat is a loan shark, and she offers you the following deal. She will…

A: Given, For the loan Principal = P Time period = 12 months We have to find the which scheme we choose…

Q: 12. If f(x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of…

A: f(x) is linear function so f(x) can be expressed as  f(x)=ax+b, where a≠0 and b are constants. g(x)…

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

A:

Q: 1. Given h(x) = 5x² – 3x – 2 which pair of the equations below are possible - equations for f(x)and…

A: we need to find the subtraction of two real valued polynomials.

Q: and a3= Recursive : an=an-lor I-udo'b=ub: oilldag

A:

Q: 8. Use the graph given below to answer the questions. y 6- 4 g(x) a) Find f(g(1)) b) Find (f •…

A:

Q: A $1000 investment earns interest at a rate of 4.2% per annum, compounded monthly. Another…

A:

Q: Integrate X dx 1+ x²

A: Given, I=∫x51+x12dxOrI=∫x51+x62dx

Q: b. 3+V5-x 3I

A:

Q: 1 4x +3 dr

A:

Q: is 5.5 + 2.2x + 3.8x – 4.1 and 1.4 + 6x equivelent?

A:

Q: A roof has the shape of a scalene triangle. On one side of the roof, the angle of inclination is 43°…

A: given triangle is

Q: Evaluate 3x²Vx³ + 1 dx. 1 dx. -1

A: here we have to find the integration of given function . the solution is following.

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)