Evaluate the limit. NOTE: Enter the exact answer. lim x→0 sin? 2x

Q: (kx – 1 ifx< 2 G(x) = kx? 2. if x 2 2

A: the given function,   G(x)=kx-1if x≤2kx2if x≥2

Q: Find the total area of the region between the x-axis and the graph of y = - x´ - 3x, - 4 <x54.

A: Given query is to find the attached area of the region.

Q: If f (x) = tan (x), then what is the value of f' () in simplest form? %3D ..... Answer: Submit…

A: We know, ddxtan-1(x)=11+x2

Q: For each of the following vector fields F, decide whether it is conservative or not by computing the…

A:

Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

A:

Q: 2. Find the absolute extrema of the function on the closed interval. f (x) = Vx – 2, [0,4]

A:

Q: A lease of $7,900 had to be repaid with payments of $300 at the beginning of every month. The…

A:

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: 2 The window shown in the figure below is made fro a given frame'length(L). Find the ratio (h/r)…

A:

Q: 2+ y =x+ - 2x3 1 y = 0 2 -1

A:

Q: Find the area of the region that lies inside the curve r = 10 cos 0 and outside the curve r = 5,…

A:

Q: Find the point on the surface f(x,y)=x2+y2+xy-26x+29y at which the tangent plane is horizontal.

A: For Given surface f(x,y) The slope of horizontal tangent plane is equal to zero.

Q: ( sinxcos(2x)dx

A:

Q: Let 8n an 1- 2n For the following answer blanks, decide whether the given sequence or series is…

A:

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: Find your answer below

Q: Approximate the area under the curve y=x^3 from x=2 to x=4x using a Right Endpoint approximation…

A:

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

A:

Q: sin(x) dx Jo

A:

Q: 10x – 2 - dx . (x + 1)(5x² – 2x + 1) 16. Evaluate 5x - A) hx +1|+ n|5x² – 2x + 1|– tan +C 5x- B) Inx…

A:

Q: 1. a) Find the point of inflection(s) of f(x) = x³ – 6x2. If an answer does not exist write DNE) b)…

A:

Q: Use residues to establish the following trigonometric integral formula: »2n cos?(30) de = J,…

A:

Q: Solve the initial value problem.   (ds/dt) = 8sin^2(t+(π/12))​, ​s(0)=5

A: In order to solve this we need to integrate it and then we can find constant by putting t=0

Q: Use the graph to match the integral for the volume with the axis of rotation. (a) O () r-axis O (i)…

A: Solution )  a) outer radius R = a  Inner radius r = f(y)  Limit of y  0 to b So rotation of volume…

Q: nt) Let I be the length of a diagonal of a rectangle Whose Sides Rave lengins If increases at a…

A:

Q: The runner's rate t seconds after exiting the start line is 250te−0.5t feer per second. Utilize an…

A: Given query is to find the distance traveled in 16 second.

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A:

Q: The marginal cost for a company to produce g items is given by MC(g) = 0.004g? - 0.7g + 650, The…

A:

Q: home. velocity (milės per hour) t hours after noon is given by v(t) = - 5t" + 42t - 150t + 190t. At…

A:

Q: F(x, y) = (4ry³ + 3)i+ (6x²y² + 2e²w)j is conservative by finding a potential function f for F, and…

A:

Q: The velocity of a particle moving in a straight line is given by f (t) = 12 – 4t centimeters per…

A:

Q: 54. U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

A:

Q: of the region described. atween the line y=x and the curve y= 2x/64 -x in the first quadrant a of…

A: Please refer to the image below

Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: Suppose a polynomial function of degree 5 with rational coefficients has the given numbers as zeros.…

A: Given query is to find the 5th zero.

Q: 13. ап V21+3п 15. ат — 2" cos пл

A: Follow next step

Q: Solve using the method of undetermined coefficients y" + 3y' +2=6

A: Let's find.

Q: r = 2sin30 * %3D circle rose inner loop cardioid dimpled convex spiral lemniscate

A: Given problem:- r=2 sin(3θ) To find :-  shape of graph of given polar equation

Q: fined ely elx ex ex + e y.

A: y=ex-e-xex+e-xDifferentiate w.r.t x

Q: Given •7 6. f(x) dx = –10 f(x) dx = 8 %3D g(x) dx = –1 g(x) dx = -8 , %3| compute the following…

A: Integration

Q: Find a function of the form y A sin(kr) + C or y = A cos(ka) + C whose graph matches the function…

A: Given query is to find function finthe graph.

Q: 16) If E an converges, then cos(am) diverges. n=1 n=1 a) True b) False

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: A commercial cherry grower estimates from past records that if 23 trees are planted per acre, then…

A:

Q: Based on the figure below, find the volume of the solid generated by revolving area of the region…

A: Follow the procedure given below.

Q: r = 5 - 5sine * circle rose curve inner loop limacon cardioid limacon dimpled limacon convex limacon…

A:

Q: 2. Let g (x, y) = 2x² – y² . Compute 9(1, 2), g (2, 1), g (1, 1), g (–1, 1) and g (2, –1).

A:

Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

A:

Q: -2 -2 3 -9 9. A = -3 -5 8 2 -2 -2 -3 Find a matrix P such that D = P-'AP is the Jordan canonical…

A:

Q: A particle moves along the x-axis for 0 <t < 18 such that its velocity is given by the graph shown…

A:

Q: So, the volume of the solid of revolution is Volume = V = TI (9 - x2)2 dx. To find the volume,…

A:

Q: region

A: Please refer to the image below