Solve the given differential equation. All solutions should be found. (8y" + 20°y) dx – (7xy° + x") dy = 0 - %3D NOTE: Do not enter an arbitrary constant. The solution in implicit form is = C where C is an arbitrary constant.

Q: 3. Find the determinant of the following matrices: -5 0 1 2 -1 -1 -2 3 C. -4 -5 -6 -3 4 1 7 -8 9. T-...

A: We have to find the determinants of the below matricies.

Q: 9. A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in ...

A: Note :- These are multiple questions and according to our company guideline we can do maximum one qu...

Q: Estimate the slope of a line tangent to the curve f(x) = -2x2 + 3x +5 at point P(1, f(1))by doing th...

A:

Q: Solve the given differential equation. All solutions should be found. dy etz + 7y dx 4.x NOTE: Use c...

A: The given differential equation,      dydx=e4x+7y

Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...

A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...

Q: Given the function: f(x, y) = 3æ°y – 7x*y+ 5x – 4y Find the folowing: show complete solution a. fz(1...

A:

Q: Use substitution to evaluate the integral | (3x³ + 5)° . 27x²dx

A:

Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: 5. Find the eigenvalues and their corresponding eigenvectors for the following matrices: 4 00 (::) 4...

A:

Q: For the next five questions, consider the following differential equation: ( + ry")dr + (5y - ry+ y'...

A:

Q: 3. Let A C B. Which of the following statements is/are true? a. AnB CA b. AUB CB c. A\B is a singlet...

A: Topic  -   set and subset 

Q: c. Let P(x, y) = y² + sin¬1 x² and Q(x, y) = 2xy + 4x. Suppose that C is the parallelogram with vert...

A:

Q: Answer

A: Please refer to the image below

Q: Items 15 The graph of a function f is shown. On top of the graph of f, sketch the graph of f'. Use a...

A: The graph of the functions are given as 

Q: Find the area of the region bounded by the parabola y=5x^2, the tangent line to the parabola is at (...

A:

Q: (2 x* y? + 4x² y + 2 x y² + xy* + 2 y) dx +2 (y³ + x² y + x) dy = 0

A:

Q: - Find: if x<1 if 1sx<2 if x 22 f(x) =x a. lim f(x) d. lim f(x) X-2* 2x b. lim /(x) e. lim f(x) c. l...

A:

Q: Find the area that is inside both r=1−sinθ and r=2+sinθ

A: Graph:

Q: 3 V1+x3 -dx x-2

A: Given:      ∫1+x33x-2dx      =∫x2 x3+13dx substitute u=x3+1                 dudx=3x2→dx=13x2du

Q: Given the graph of f(x) below, what is the value of c such that lim, se (z) - f(c)? O b. 1 OC -5 Od ...

A: We have to find where Left Hand Limit= Right Hand Limit= function value 

Q: Isin ()

A: 72sin(π5x) =75xnow here there are two curves  y =72sin(π5x) →(1) y=75x  →(2)solving by graphical met...

Q: cos“ (cos x) dx COS CSc x

A:

Q: sin xV1 cos xdx

A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A:

Q: Evaluate the integral below by following the steps given. 1 xp= x2 I || 6/ a.) Show that the substit...

A: Given: I=∫19-x2dx  ...1   As we know from the trigonometric identity: sin2θ+cos2θ=1 And ∫a·fxdx=a·∫f...

Q: 8xdx 1 — 4еx?

A:

Q: If a curve f(x) has = (y – 1) (2+ x) and passes through the point (-1,2), then what is dx the equati...

A:

Q: -5x + cos (9x) – 1 Evaluate lim 2x Submit an exact answer.

A: To Evaluatelimx→0-5x+cos(9x)-12x  

Q: Given that is the series (k + 1)4/4k+1 k-4 /4k (1+4)'. k lim k→+∞ lim k→+o 4' 4 (-1)*;4 is the serie...

A:

Q: Use the difference an+1 – An to show that the sequence {n – 7"t00 is strictly increasing or strictly...

A:

Q: 43. Using the method of undetermined coefficients, write the form of the assumed particular solution...

A:

Q: dx V4x – x2

A: Given function, It can be solved by converting denominator Into (x-2)2 form Then by substituting  u=...

Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

A:

Q: Instruction: Solve the following indefinite integrals. Show complete solutions. 14. | csc(1 + sin? x...

A:

Q: Question 3 Evaluate dt A 313-1+C B 12-1+C c) 312-t+C D 312– 31+ C

A:

Q: Which of the following is the general solution to the differential equation y?dx = (xy – x²)dy? x In...

A:

Q: 1. Evaluate: e3z dz (ez + e5z)2 0. 8.

A:

Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 1+2- 12 - 4x + 4

A:

Q: Using integration bby parts, uV-/v du. Txt +2x+ 2 cove for solution. dv = V =

A: According to the question, we will choose u and v to solve this question by integration by parts .

Q: 3 ť'y" +7t y' +1o yoo

A: A detailed solution is given below 

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3. (...

A:

Q: dy at the given point. dx Calculate – T T sin² (-5y) = x + y. (2) 4 4 (Give an exact answer. Use sym...

A:

Q: 14-16 Show that the series is convergent. How many terms of the series do we need to add in order to...

A:

Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to a...

A: Find your answer below 

Q: Which of the following is the particular solution to the differential equation 2ydx + 3xdy = xy³dy w...

A: This is a problem related to differential equation. There is so many concept and formula available f...

Q: S cos²(2x)dx

A:

Q: ax2ª(x2a+1)°dx

A:

Q: use Substitution method to schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: We have to solve it by substitution method. 

Q: a. As x approaches -1, f(x) approaches what value on the first table? On the second table? b. Do the...

A:

Q: For the given p-series, identify p and determine whether the series converges. Ek-615 -6/5 k=1 . The...

A: Find your answer below