Find the component form of the vector v in 2-space that has the length ||v||=18 and makes the angle = 120° with the positive x-axis. NOTE: Enter the exact answers. 0 0

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 4) 5) 5x 1(₂57) dx 4 [ (x² + 1)² ax dx

A: solution:   Given data,   4)∫(5x/(x2/3)dx

Q: 5) x² √2x - x² S√zi

A: ∫x22x-x2dx since you have posted multiple question i can answer first question as per our company…

Q: ]]] B e dV where E is enclosed by the paraboloid z = Evaluate x² + y² = 3, and the xy plane. 2 + x²…

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Q: Given the series Σ find the ratio (Express numbers in exact form. Use symbolic notation and…

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Q: For each of the following integrals find an appropriate trigonometric substitution of the form x =…

A: We have to find the appropriate substitution.

Q: A solid is formed by rotating the region in the first quadrant of the xy-plane y = e2 + 1 and x =…

A: We need to find out the volume of revolution.

Q: Graph the function f(x) are -2, 0, and 1. -3 -2 -1 = 10+ 9 8 7 6 5 4 3 2 + --+ -2 -3 -2x² and draw…

A: Given:    fx=-2x2 when x=-2     f-2=-2-22               =-8 when x=0     f0=-20=0 when x=1…

Q: 11. Practice similar Help me with this Find the area under the curve y = 4xe¯ª for x ≥ 0. area = -

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Q: r Given z(x, y) = ln (2x + y²), a(r, t) = and y(r, t) = √r + t. t Find Əz Ət дz - Ət = Evaluate…

A: Givenz(x,y)=ln(2x+y2)x(r,t)=rty(r,t)=r+t   We are required to find:∂z∂t and ∂z∂tat r=10 and t=-1

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

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Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the…

A: Given: N(t) = 385.4741+2.521e-0.214t for (0 ≤ t ≤ 10) , where N(t) is measured in millions and t is…

Q: Consider the points P(-4,3,0) and Q(-4,- 4,3). a. Find PQ and state your answer in two forms: (a, b,…

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Q: Find: U(x1, x2) = 2X1X2 O X1X2 2x1 2 2x2

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Q: For the function h(x,y) : = əh ax ah ду || 7x+8y 5xy – 8 find əh ?х and

A: h(x,y)=7x+8y5xy-8∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: ∫6∞ xe-x3dx

Q: Evaluate the definite integral 3x³-4x² x² -dx

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Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A: Given : r(t)=5t2,4t2   To Find : 1) Velocity 2) Acceleration

Q: The following are configurations of the revolved differential strip and the axis of revolution in…

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Q: g(x) sinh x² find the derivative.

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Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) - J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

Q: Find f'(-2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1)

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Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

A: p0 is the current price per download.n=f(p) is average number of daily downloads as a function of…

Q: A tank contains 100 gal of fresh water. A solution containing 5 lb/gal of soluble lawn fertilizer…

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Q: Evaluate the limit using L'Hôpital's Rule. 8 0-2 HIL lim x 0 4(e- e *) sin(2x)

A: To evaluate the limit of the function

Q: Evaluate the integral. 3 ㅇㅇ 를 O 229 이름 sin³ 3x dx

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

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Q: following •f(x) > 0, 1<x<2 • f'(x) < 0; -2<x<1 · f' (1) = 0 Given the sketch f(x)

A: Please see the below picture for detailed solution.

Q: Suppose an oil spill covers a circular area and the radius, R, increases according to the graph…

A: By the use of graph, we need to find out the value of R(40), value of t when R(t)=50 and also R(0).

Q: Find [5 50e0.03x dx

A: I=∫50e0.03xdx∫eaxdx=eaxa+c

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that f(9) = 13, f(13) = 3, f'(13)=9, f'(9) = 7…

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Q: Let P(x)= 2x3-5x2-4x+3.  a) List all possible rational zeros of P.  b) Find the complete…

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Q: 34. Radioactive Decay The half-life of a certain radioactive substance is 65 days. There are 3.5 g…

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Q: Let f be a function defined as f(x) = {₁/2²) Note that e≈ 2.72. The value of f'(4) is approximately:…

A: Given:  fx=xex2+8 if x&lt;24x2x+32 if x≥2 To Find:  To evaluate f'4.

Q: Consider the following function: Answer Step 2 of 4: Determine where the function is increasing and…

A: Given function:- fx=12x4+2x+12

Q: Use the power series 00 Σ (-1)"x" n = 0 to determine a power series, centered at 0, for the…

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Q: For the following trajectory, find the speed associated with the trajectory and then find the length…

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Q: If ƒ(x) = 5 + 4x − 5x², find ƒ'(0).

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Q: (a) Find the domain of the function. (Enter your answer using interval notation.) √x 2x 11 g(x) =…

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Q: 12. fx²e-x dx 13. fx√x² - 4 dx 14. cos √t dt

A: The given integrals are;  13) x sqrt(x2-4) 14) cos[sqrt(t)].

Q: Evaluate the triple integral over the indicated bounded region E. JIS (x + 2yz) dV, where E = {(x,…

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Q: 20 Let f(x) = 3x + Then the equation of the tangent line to the graph of f(x) at the point (2,11) is…

A: The given function is fx=3x+20x2 and the point is 2,11.   The objective is to find the equation of…

Q: Give a rule of the piecewise-defined function. Give the domain and the range. What is the rule?…

A: Please see the below picture for detailed solution.

Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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Q: Find exactly the vector oppositely directed to v = (3) and half the length of V. i i

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Q: A search using the web search engine BingTM for "asteroid" yielded 25.1 million web sites containing…

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Q: Determine the directional derivative of the function f(x, y) = -5y³ r - 1 at the point (x, y) = (2,…

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Q: Write an inequlity comparing n²-3 n5 +3 (Express numbers in exact form. Use symbolic notation and…

A: Comparison Test: Suppose we have two positive term series ∑n=0∞an  and ∑n=0∞bn such that an≤bn for…

Q: Determined from First Principles and use your result to find the slope of the tangent dx at x = 2…

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Q: At what points is the function y = x+8 2 x-15x + 56 continuous? Describe the set of x-values where…

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Q: Determine the absolute extreme values of the function the interval 0≤x≤2л. f(x) = 2 cos x - Con

A: Whenever we find the extreme values ofthe function y=f(x) in the interval [a,b] then we apply the…