Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = Vr - 1, y = 0, * = 5; ut the line y = 8. me =

Q: Use Zag sange Multiplies, find the extreme velues 7i O (x,Y,Z)= x+2Y-22 bubject to the cnstraint…

A: Lagrange multiplier: The Lagrange multiplier approach is a straightforward and elegant way to…

Q: Please show the right triangle

A:

Q: I have never seen this way before, and it is not easy to follow. How did you go from 0 to 1 on the…

A:

Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

A:

Q: (iii) Find the angle between the vectors. a = 8i – j+ 4k, b= 4j+ 2k (iv) Find the volume of the…

A: Given a=8i-j+4k, b=4j+2kTo find angle between two vectors:

Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: 3. V4- (x – 3)²dx.

A:

Q: For the points P1 (4,8,7) and P2(5,7,6), find the direction of P,P2 and the midpoint of line segment…

A:

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

A:

Q: The

A:

Q: A quadratic polynomial y- 4r+7r-3has roots pand g Find a quadratic g(r) o+withrots and a O a.…

A: Please see the answer below.

Q: 6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given…

A: Given problem:- If z2 = x2 y2 (where x, y, and z are positive), and dz/dt then what is when x = 2…

Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

A:

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION 1. (D^3 – 3D^2 – D + 3)y = 0

A: The given differential equation is: D3-3D2-D+3y=0 So, the auxiliary equation is: m3-3m2-m+3=0

Q: The integral of the given function ſ (4 +) dx is equal to a. 6 b. 7 с. 4 d. 8 e. None of the above А…

A:

Q: 3a-6 Differentiate y= csc =CSC 5z2+9 A g' = cot() cse () ( ) B. y' = - cot() csc() ( ) 3x-6 522+9…

A: Given: y=csc3x-65x2+9 As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 2

A: The detailed solution is given below  Thank you

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: The given function is: f(x)=x5+4x3+x, a=4f(4)=45+4(43)+4=1284f'(x)=5x4+12x2+1,…

Q: What is the absolute maximum value of the function f(x) = x - 3x2 on the interval [-2, 4] ? а. 16 O…

A: This question is based on application of derivative.

Q: [-8,-6) U (-4,-2) U (-1,2) [-8, –6) U (–4, –2) U (–1,2) 67% correct Your first interval or set is…

A: the f(x) is always positive above the x axis. and always negative below the x axis

Q: drop of oil in the shape of a circle is increasing its area at a rate 4 cm2/min. Find the rate of…

A: Given query is to find the rate of change of radius.

Q: On step 5, where did the 8 come from in x-3+8?  This is where I'm stuck

A: ∫au+bn du =1aau+bn+1n+1+C ∫11-u2 du =sin-1(u)+C

Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.

Q: Given f (x) = a +1 and g (x) = 2x +3, find f[g(x)]. %3D %3D O A. fg(x)] = 2a2 + 5 O B. f9(x)] = 2a?…

A:

Q: Show that v = ai + bj is perpendicular to the line ax+ by = c by establishing that the slope of the…

A:

Q: Question 2! 3: 1: Explain why the following series a) I (-1)" 1+ n3/2 n=1 is Alternating. b) -…

A:

Q: 19 Four different roads from Town A to Town B, and three different roads run from Town B to Town C.…

A: We will Break this question into two parts.

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A:

Q: You wish to determine how much should be deposited in an account paying 7.4% interest compounded…

A: This question can be solved using the concept of compound interest when interest is compounded…

Q: L, V4 – x²dx.

A:

Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: For the points P1 (4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

A: Given that coordinate of point P1 is (4,2,3) The coordinate of point P2 (5,1,2) We have to found the…

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of ở V(I + x³ )dx. Give…

A:

Q: Answer the following True or False. Let f(x)be a decreasing positive function. Then the right…

A: topic - area under curve

Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

A:

Q: Which of the following is false? O none 3 n The series >, is divergent. 6+n n=1 00 1 The series is…

A:

Q: Can you please type it

A: Answer is given in next step.

Q: why

A:

Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? O a. Concave upward on (1,…

A: Given query is to find the the interval where function is concave upward and downward.

Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

A:

Q: Compute the following limits: cos (x) (i) lim x3 tan(3x) (ii) lim

A:

Q: Choose the correct graph for y = cos x with the domain indicated: y= cos x, -2Asx<

A: Given, y= cos x -2pi&lt;=x=0

Q: 32) sec 0 O in quadrant IV Find tan 0. 9. cos 0 <0 4 33) cot 0 Find csc 0.

A:

Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: Calculate the value of (1 + 2i)² and then use this value to find the roots of z – z + (1 – i) = 0.…

A:

Q: can you write it on paper, I don't understand it like that

A: We have the solution as follows:

Q: culate the value of (100°)' × [10-7 x (0.1)* ] ". . Give answer as a power of 100.

A: Topic:-  simplification

Q: If 2n+3 a %3D 5n+8

A:

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A:

Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

A: