Show that the function y = f(x) is a solution of the accompanying differential equation. 1 (e' y = dt, x'y' + xy = e* 1.

Q: Find the parabola with equation y = ax? + bx whose tangent line at (1, 1) has equation y = 5x – 4. y...

A: Let's find. 

Q: Find the general solution of the given higher-order differential equation. у" - 2у" — Зy' — 0 y(x) =

A:

Q: b) f(x) = -log2(2x + 3) – 3

A:

Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: a) Find the inverse of the function. b) Sketch the graph of f(x) and f-1(x) on the same Cartesian pl...

A:

Q: 1. lim f(x) = -1 and f(1)DNE %3D

A: In this question , we make a graph. when x tends to '1' , f(x) tends to -1. and f(1) does not exists...

Q: 1 .2 2 dx = 0 xe 0- -

A: Given: 12π∫-∞∞xe-x22dx=0   We know that; ∫eax+bdx=eax+ba+C     Note: As per Bartleby guidelines we a...

Q: 1 Using a table of values, estimate lim 7. z-3 I - 3 а. 1 b. -1 c. - 0 d. 0 x + 4 Using tables of va...

A: Topic:- calculus

Q: Find the abscissa of the centroid of the region between the parabola y = 9-x^2 and the line y = 1-4x...

A:

Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

A:

Q: ompute the following limits through an algebraic approach or L’Hospital’s rule where applicable

A: Given that: 1. limx→212-1xx-22. limx→01-cos2xx2

Q: Example Write a constant term or variable term on the line to form an equation that has no solution,...

A: Given problem:- write a different constant term or variable term To find:- a. No solution:4x+7=4x+ b...

Q: . A hemispherical tank having a radius of 2.5 m is filled with water to a depth of 1.8 m. If a solid...

A: Given: A hemispherical tank having a radius of 2.5 m is filled with water to a depth of 1.8 m. If a ...

Q: 11T - If 0 = then 6. sin(0) = %3D cos(0) = %3D

A:

Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

Q: Evaluate: cotxdx

A: Given:        ∫cotx dx     =∫sinxcosxdx   substitute u=sin x→dudx=cos x→dx=1cos xdu       =∫1udu

Q: graph the following equation and explin why they are not graphs of a function x y2 =x2

A: We have to check weather the given Equation is function or not.

Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the comput...

A: Given:  cot (3.0642 + 2.5712i) 

Q: What is the symbolic form of the argument?" Sad svd S .. d .. d Option 1 Option 2 Sad svd S ... d .....

A:

Q: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer wi...

A:

Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: 3. A pair of lines in R3 are given. Determine whether they are parallel, intersecting or skew. If th...

A: NOTE: Refresh your page if you can't see any equations. . lines are parallel if 

Q: Evaluate the following indefinite integral. -x-2 (a) dx dx (b) cos 0 sin Od0

A:

Q: A. B. ET D G. 2.

A:

Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

A:

Q: The sides of a rectangle are formed by vectors A and B with |A| =2 and |B| = 5. Determine the area o...

A: topic - vectors

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end...

A: Given :Directed distance s from the origin at the end of t seconds is t3-6t2+9t feet.To find :When i...

Q: - 2 lim,→8- х — 8 X

A:

Q: 11. In a sine wave: a) At what angle, or angles, is the amplitude increasing at its fastest rate? b)...

A:

Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: some items may need simplifying 21 1. .f(x) = [(x² – 9)Vx+ 2]|

A:

Q: (a) Let A = {1,2,3}, B = {3, 1,2}, and C = {1,1,2,3, 3, 3}. What are the elements of A, B, and C? Ho...

A: Find your answer below 

Q: If y 3x-5, then find the tangent and normal equations X=3 %3D

A: First we find slope of line.  Then equation of tangent is         y-y0 = m (  x-x0)  For normal equa...

Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

A:

Q: A particle is moving along the graph of 7(t) = te-tî+ t² î+ 2t k. Set up the definite integral that ...

A: Here, the given curve is: r⇀(t)=te-ti+t2j+2t k

Q: 2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

A:

Q: function is in a form of y = ax^3 + bx^2 + cx + d. it has relative maximum (3,3) and point of inflec...

A: Given function f(x)=ax3+bx2+cx+d

Q: List the sample space for each of the following statistical experiments: a. A coin is tossed at the ...

A:

Q: Determine the curvature of the graph of 7(t) = (2 cos t) î + (3 sin t) ĵ at the COS point (0, 3) (th...

A: Follow the procedure given below. 

Q: (c) S /2x – x² dx

A:

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A:

Q: Complete the integration: 1 1 Scos (2x)dx = sin 2x -sin 2x + C Determine the value of "?".

A:

Q: True or false. 1. A conic section with equation (x-h)2/a2 - (y-k)2/b2 = 1, we have c ≥ a. 2. If f ...

A:

Q: S(arcsin 2x)²dx

A: Given that a integration of (arcsin2x)2. We solve this integration by using general formula of the i...

Q: В. Find all vertical and horizontal asymptotes. 2x2 +2x+1 15. f (x) = 5x3+3x-5

A:

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A:

Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: lim (fx) f(c) lim f(x) DNE X-4 f(4) = 3 Once again we see that lim (fx)) and f(c) are not the same. ...

A: Here, the given function is: f(x)=x3-1  

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0 2. x + ( 1+x)y = e -× sin2...

A: First order differential equation : Consider the first order differential equation                  ...

Q: 24) Find the volume of the solid that results when the region in the first quadrant bounded by the ...

A: Given:- curve x = 6y3 and line x = 14.8 Now, 6y3 = 14.8 y3 = 2.467 y = (2.467)1/3 y = 1.351 In The F...