1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

Q: please can you also answer number 3.

A:

Q: cos³ 4y /sin 4y dy

A:

Q: Solve x /k – x²dy= (a²y°x + y/k² – x²) dx -

A:

Q: 9. Determine whether the given integral is convergent or divergent: 1 dx? (4-x)5 a. convergent b.…

A: integration

Q: solution

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: Your interpretation and answer are incorrect.  My question had fractions but you interpreted them as…

A:

Q: Change the following polar equations to rectangular form. Show work 6. 2. r = 13. r= 5cos0 4-cose…

A:

Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: Given problem:- At what point on the line y = b does the line segment from (0,0) to (a,0) subtend…

Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. "f you…

A: From the given data:

Q: 7-10 Evaluate the double integral. 7. y? dA, D= {(x, y) | –1< y< 1, -y – 2 < x < y} D y 8. dA,…

A: Let's find.

Q: 2x e d.x 4e2 – 8e" + 5

A:

Q: Problem #8: A rocket is being launched. After a while, it rises at a constant velocity of 30 miles…

A: Let's find.

Q: (i) What are the projections of the point (2, 3, 5) on the ry-, yz- and rz-planes? (ii) Write…

A:

Q: V. 90) Preview 5 = 5. v. lim g(x) = Preview H-1 vi. lim g(x) = Preview I-1" vii. lim g(x) = Preview…

A: As per our guidelines we can help you in solving only first three subparts.Rest of the problems you…

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

A:

Q: Can you transcribe this to an image because I'm having a hard time understanding the equations

A: Here is the image form of the solution.

Q: 2. The Auxiliary Equation : (4D - 4D' - 23D² +12D+36)y = 0

A: Topic:- differential equations

Q: answer

A: We will find the second derivative.

Q: Differentiate f(x) = [(3x4 – 5)(2x³ + 9x – 6)]3 and solve for f'(2).

A:

Q: x sin(2x2)dx

A: We have to find the integral.

Q: Where did you get 30 and 60 from?

A: Given

Q: Find and classify all the critical points of f(x, y) = 2x - 9y - xy + x2 + 5y2 .

A:

Q: Directions: Analyze and solve the following items. Show your complete solution and box your final…

A:

Q: What is the absolute maximum value of the function f(x) = x – 3x2 on the interval [-2, 3] ? a. None…

A: Given the function is f(x) = x3-3x2 on the interval -2, 3.

Q: If the characteristic equation of the differential equation y"+2y'-3y = 0 is m² + 2m – 3 = 0, then…

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i +11 sin(t)j +…

A: Apologies for the inconvenience. The answer should have been simplified more.…

Q: cos-1 x dx cos х ах

A:

Q: Prove that f(x) = (x – 1)2 + (x + 1)² is an even function. A function k(x) is an even function if…

A:

Q: v5-x dx

A:

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

A: We have the solution as follows:

Q: (#10) The implicit derivative formula on a surface F (x,y, z) = 0 is: az Fr F, Evaluate dz/ax on the…

A:

Q: e definite integral o5 tan(x)dr using strips of width for the trapezium rule correct to three…

A:

Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

A:

Q: Let i denote the square root of-1. For the two complex numbers =3e and w= 6e find 2, w. Grve your…

A:

Q: Find the moving trihedral and the curvature at any point of R(t) = (2 cost, t, 2 sin t).

A:

Q: 6. s) Rewrite (without any justification) the integral as an equivalent iterated integral in the…

A:

Q: Please clarify the answers.

A:

Q: Fill in the missing correct answer to simplify the given complex fraction. 1 4 x2 Complex Fraction:…

A:

Q: 4. If the characteristic equation of the differential equation y"+2y'-3y =0 is m² + 2m –3 =0, then…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim tto 5t2 + 6' 8t

A:

Q: Simplify the expression to the form a" where m is an integer. Find the value of m. Answer:

A:

Q: (iii) Find a vector equation for the tangent line to the curve of intersection of the cylinder a² +…

A:

Q: P1: x? cos- x dx

A: The given problem is solved below in detail.

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

A:

Q: Researchers found the demand for cheese in a particular country for a particular year can be…

A: The equation is given by lnq = D-1.32lnp                                 ........1 Where, p…

Q: Sketch the graph of f(x) = -3r³ – 4x² + 6x – 2 by following the steps in %3D sketching the graph of…

A:

Q: 5. If the characteristic equation of the differential equation 27 - 184 dx +8- y-0 is dx 27m -18m…

A: The characteristic equation of the given differential equation is 27m4-18m2+8m-1=0.

Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

A: