Determine if each of the equations given is or is not exact; Solve those that are exact. a) (x + y)(x −y)dx + x(x −2y)dy = 0. b) (x + y)2dx + (2xy + x2−1)dy = 0, y(1) = 1.

Q: Finance. A person wishes to have $27,200 cash for a new car 7 years from now. How much should be…

A:

Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

A:

Q: ra a²-y² L". Sve²=v² a²-x²-y² . (x²z+y²z + z³) dzdxdy a²-x²-y²

A:

Q: Question vector equation a) Let C be a curve defined by the r(t)= . 473 Show that the point P(-5,…

A:

Q: Graph the line with slope - 3 passing through the point (-2,-2). 4 D X 5 Ø ?

A:

Q: Problem #3: Find the following derivative (assuming that r(t) is differentiable). Problem #3: [r"(t)…

A:

Q: (A) (B) f(-1)-f(-2) (-1)-(-2) QIn parts (A)-(C), find the indicated quantity for y=f(x)=4-x². = 3…

A:

Q: Find the polar coordinates, 0≤0<2r and r≤0, of the following points given in Cartesian coordinates.…

A: We know that conversion of cartesian co-ordinates to polar co-ordinates, r=x2+y2θ=tan-1(yx)

Q: Express your final answer at least three (3) decimal places.   Find the arc length of the curve y…

A: Concept: The arc length of the curve is given by  L=∫abds In rectangular form, ds is presented as…

Q: Find the area between y= |x|^y=2-12x₁

A:

Q: a) b) c) The height of a rock climber thours after she begins her ascent up a mountain is modelled…

A: Average rate of change  of a function f(x) over a interval [a,b] is given by Avg.=f(b)-f(a)b-asee…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: This is a problem related to linear approximation of the function. Based on the general formula and…

Q: Let f(x) = 4x² + 4, g(x) = √-7-x, find the following: (1) (ƒ + g)(x) = (2) (f- g)(x) = (3) (fg)(x) =…

A: Note: as per guidelines we support only 3 subparts of the questions.kindly repost next questions in…

Q: True or False: To evaluate the integral [sin we save one sine factor and use sin’ x cos xdx, 6 sin²x…

A:

Q: Find the area of the region shared by the cardioids r = 2(1 + cos 0) and r = 2(1 - cos 0). The area…

A:

Q: Question vector equation r(t)=. Show that the point Let C be a curve defined by the P(-5, 11, ¹) ies…

A: Solution of given question is written in below steps.

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A:

Q: True or False: If X 1 (x − 1)(x + 2) dx = 3 - then B = Select one: O True O False In(x - 1) + Bln(x…

A:

Q: Find the linear approximation of given function at (0, 0). 3x + 4 2y + 1 f (x, y) = f(x, y) =

A: We have to find the Linear approximation of the given function.

Q: Find of 3-(-1)" the Set of sequential limits

A: Given;  3-(-1)n.

Q: For the two 3 x 3 matrices A and B with det(A) = -3 and det(B) = 2, Select one: O True O False det…

A: Given :mx+3y-z=m    2x+z=1              -2x-3y+mz=0  detA=-3detB=2

Q: To receive credit, all work must be completed and shown on the assignment paper. 1) A rocket will…

A: Given:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: This question can be solved using the concept of point of inflection.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

A:

Q: lim x→0 x⁹⁹ sin (7x) (sin x) 100

A:

Q: 3. a. -2 s = cos ¹(sin z) b. 1 C. -1 d. 2

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A:

Q: Find and simplify each of the following for f(x) = 4x² - 5x + 5. (A) f(x + h) (B) f(x+h)-f(x)…

A:

Q: saddle point is wrong, please correct

A: The given two variable function gx,y=x2-y2-3x-4y

Q: Find the areas of the regions enclosed by the following curves. (a) r = 1+2cosł

A: Given curve, r=1+2cos(θ) For range let r=1+2cos(θ)=02cos(θ)=-1cos(θ)=-12⇒θ=2π3

Q: try again, answer is incorrect

A: Let's find minimum distance between point and plane.

Q: Starting with the graph of y = e* write the equation of the graph that results from reflecting about…

A: NOTE: Refresh your page if you can't see any equations. . if the graph of  reflected about the line…

Q: Find a function whose graph is the given curve. the bottom half of the circle x2 + y2 = 4 f(x) =

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Question 7 of 10 Evaluate lim 2-2 0 x-2 5x-2-√√/2x+4 / Ə

A:

Q: Find f'(x) if f(x) = 9x x7/5 – 5x2 + 10000. O A. f'(x) = 632/5 - 10x 5 OB. f'(x) = 63, 6/5 - 10x 5 O…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A:

Q: Find the derivative for each function. a. f(x)=√x² b. f(x)=x²-3et c. f(x) = secx-cos.x

A:

Q: X Find the average value of y= 4 cos on I 2 ST 6

A:

Q: X-7/7x+1 find the concave upward and downward

A:

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

A:

Q: Question 6 Find the area 2 y=x²-3 between the curves and y=x+3

A: In this question, we will find the area of the region bounded by the given curves.

Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

A: The given data is: C'x=0.000007x2-0.0035x+5, for x≤350 Approximate the total cost of producing 279…

Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the area of the region bounded by the graphs of the equations. 9 x = 1, x = e, y = 0 x

A:

Q: Find the limit. O 75 π O O' O O I 00 D8 - 150 lim sin¹. 5 x X→ 0 ¹7x

A:

Q: Graph the trigonometric function. 5 y=- cos2x 2 Plot all points corresponding to x-intercepts,…

A: Please see the below picture for detailed solution.

Q: . Find a formula for f(x) iff(x) = ln(x - 1). (Hint: x-₁=(x-1)^¹')

A: