4y³ (x²+4) dy + 4xy+ = (x² + 4) ² dx

Q: -6 -5 -4 -3 -2 10 8 6 4 2 1/2 3 4 5 6 -2+ -4 -6 -8 -10 + The function graphed above is: Concave up…

A: A graph is said to be concave up if it is open up side and concave down if it is open downside. A…

Q: No partial credit will be awarded for any part containing error. Express each of the following in…

A: Given; 1) sqrt(28) 2) sqrt(32) 3) sqrt(50) 4) sqrt(52) 5) sqrt(80) 6) sqrt(108)

Q: Use a double integral to find the area of the cardioid r = 6 - 6 cos 0.

A:

Q: Factor the polynomial and use the factored form to find the zeros. (Enter your answers as a…

A: Factor the polynomial and find its zeroes  P(x)= x4-3x3+2x2

Q: determine whether the sequence converges or diverges. if it converges, find the limit. (if the…

A: We can find whether the sequence is convergent or divergent .

Q: The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and…

A: Given, The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) =…

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE. Enter…

A:

Q: " x² cos(3x) dx find u, v and then find the answer.

A: Given query is to  find the integral.

Q: Given that f(x) = 2x² 2x and g(x) = 3x - 6, find the functions below. Simplify answers completely.…

A: Given query is to find indicated composite function

Q: Find the second derivative. 6 Select one: A. 36 LIE

A:

Q: If the function y = e is vertically compressed by a factor of 8, reflected across the x-axis, and…

A:

Q: Find an equation of a plane through the point C-5, 4₁-32 Which is or thogonal to the line X= 5+-1₁…

A:

Q: Using the mathematical expression of the definition of the derivative, as you learned find the…

A:

Q: KW. Solve the following 3....2 X... DX. + Xdy - where you... ************

A: By using exact diffential equation

Q: Evaluate the line integral along the given path. √(x² + y² +2²) ds C: r(t) = sin(t)i + cos(t)j + 3k…

A:

Q: b) A farmer wishes to enclose a rectangular field. Three of sides will be visible from the street,…

A:

Q: Find the equations of the tangent line and normal lines to the graph of the function f(t) = et + 4…

A: To find the equation of tangent and normal.

Q: Sec (30) (08300 8. You lean a 20 foot ladder is leaning against a wall so you can replace a burned…

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

Q: Evaluate the iterated integral. 1/2_ *y/f 3/y [ /o sin y dz dx dy

A:

Q: Given f(x)= x-2 ex a) Determine on which intervals f(x) is increasing. b) Find the…

A:

Q: If f(x): = cos x 7 tan x, then f'(x) = f'(4) =

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Q: -14T +7-4x 2. (a) Evaluate lim (b) Determine the equation of the vertical asymptote of f(x) = -14x

A: 2a)

Q: logarithmic differentiation to find the derivative of f (x) = (cos x)x

A: Given is to find the derivative.

Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2…

A: Given Data : Two curves are given as, z=x2+y2 6 x2+4 y2+5 z2=30.   Required : We have to find…

Q: Sketch a graph of a function that is negative on(0,2), increasing on [2,4], and has x-intercepts at…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: A commercial cherry grower estimates from past records that if 45 trees are planted per acre, each…

A: Topic - Application of derivatives We are given A commercial cherry grower estimates from past…

Q: Graph the function f(x) = 5ª by moving the key points. You can only graph integer points. For…

A: For detail...ho through the solution...I have done solution in detail

Q: If f(x) = f'(x) = f'(1) = 5 sin x 3+ cos x then

A:

Q: Compute the gradients of the following functions. (a) f(x, y, z) = 3x exp(-x² - y² – z²) (Note that…

A:

Q: The domain of the function f(x) = √e-4-elx-3|—x is O(A) the empty set (B) a half-line of the form…

A: The given function is  f(x)=e-4-ex-3-x

Q: 80. A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax³ + bx² + cx +…

A: f(x) = ax3+bx2+ cx + d on differentiating,   f '(x) = 3ax2 + 2bx +c which is a quadratic in x and…

Q: Find the limit. use I'Hospital's Role cos(2t) - 1 t-T (c) lim t

A: Given query is to find the limit of the expression.

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation r(t) =…

A: To determine the domain of the given function

Q: The function f(x) has a domain of (-∞, ∞) and a second derivative given by the following. F"(x) =…

A: Topic = Derivative

Q: The number of users on a website has grown exponentially since its launch. After 1 month, there were…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: The given sequence is; an=n3/(3n3+1).

Q: Find the orthogonal trajectory for the family of straight lines passing through the point (1,1).…

A:

Q: radius=100mm radius=100mm

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Q: Let f(x) e = e-7x² Find F"(x). f"(x) = Find the x-value(s) where f"(x) = 0. (Enter your answers as a…

A: Topic = Derivative

Q: In Exercises 33-36, find the arc length of the graph of the parametric equations on the given…

A: (33).The given parmetric curve is:x=-3sin(2t)       and       y=3cos(2t)       on  0, π

Q: If f(x) = f'(x) = f'(4) = = cos x - 7tanz, then

A: To differentiate the given function

Q: nd the arc length along a circle of radius 14 units subtended by an angle of 160°. Round your answer…

A: Given query is to find the arc length.

Q: h(x, y) = In In (1/2¹)

A: Find below the given  elaborated solution

Q: y 5 sin(x) cos(x) + 4 csc(x)

A: Given query is to find the derivative of the function.

Q: Let f(x) = -x- 8x³ + 6x + 3. (a) Find the interval(s) where f(x) is concave up. (Enter your answer…

A: Let's find concave down and up interval and inflection points.

Q: Evaluate the double integral 1₂ c where D is the disc with center the origin and radius 8, by…

A:

Q: A farmer is constructing three equally-sized pens against the side of a barn for his animals, as…

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Q: 149. 10/1/2 = -0,693 SEN

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Q: Find the limit using I' Mopital's Rule where appropiate. net, the some way ele several times). (IF…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: Then determine the x-coordinates of all relative maxima (minima). 1.  F is increasing on the…

A: Given: fx=4x+8x To find: Intervals on which function is increasing or decreasing, point of relative…