Question 57 Find the coordinates of the point on the unit circle at an angle of . Give your answer in the form (x, y) and leave any fractions in fraction form.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: Part 1: Let h be the height of AWXY. Find the length of the corresponding base. | cm 14 cm Part 2:…

A: Part 1  as h is height  base is WY length of base = 14 cm

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 6

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Q: Given that f(x) = 2x3 – 7x2 + 7ax + 16 is divisible by x- a, find (i) the value of the constant a,…

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Q: If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

A: Given problem:- If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)).   f(g(x)) =   g(f(x)) =

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Show that la 1 1 1 a 1 - (а + 3)(а - 1)3. - 1)³. %3D 1 1 a 1 1 1 a

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Q: x3 dx Vx² + 9

A: A detailed solution is given below

Q: A joint density function of the continuous random variables x and y is a function f(x, y) satisfying…

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Q: If f(x) = (1 − x)2 and g(x) = 8 − x, find f(g(x)) and g(f(x)) f(g(x)) = g(f(x)) =

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Q: S x²(csc2x³)(cot2x³)dx

A: Given problem:- ∫ x2 (csc(2x3) (cot(2x3) dx

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0,…

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Q: A cylindrical water tank 6 meters high with a radius of 2 meters is buried so that the top of the…

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Q: Determine the truth value of the compound statement given that p is false statement and q is a true…

A: To determine the truth value of the compound statement given that p is false statement and q is a…

Q: Kareem deposits $30,000 into an account that pays simple interest at a rate of 3% per year. Linda…

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Q: APPLICATION: 1. A pigpen is to be enclosed using 640 m of fencing along three of its sides, the…

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Q: Find a polar equation for the curve represented by xy = 4.

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Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 12 – x, and y = 0 is…

A: Follow the procedure given below.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

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Q: Find the taylor series for f(x) about x=3 15) f(x)=x^3-10x^2+6

A: This question can be solved using the concept of expansion of Taylor series.

Q: 2. Let f(x) be a function of period 27 such that f(r) = over the interval 0 < x < 2n. 2 a) Sketch a…

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Q: Plot the following functions over the defined domain. Range is at all values of y c. y = x5 + 4x* –…

A: Given function f(x) =x5+4x4-3x3+2x2+x+1   , 0≤x≤5

Q: 3. Ση-1 -1/m By the e n2 series test:

A: We will solve this problem by Abel's test for series

Q: F(cotx + tanx)² dx

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Q: d Calculate ri(t)· r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and…

A: r1(t) =9t i + 2t2 j + 6t3 kdr1dt=9 i + 4t j + 18t2 kr2(t)=t4 kdr2dt=4t3 k

Q: A ball is being inflated such that the volume is increasing at a constant rate of 100cm3/s How fast…

A: Given  and

Q: A ALEKS - J'Angello Farrington X Messenger www-awu.aleks.com/alekscgi/x/lsl.exe/1 0- う O EXPONENTIAL…

A: Here we are given a function which is defined by the following rule  f(x)= (1/4)-x And gor different…

Q: Graph the constant profit lines for the objective P=5x+8y through (4,4) and also through (6,6). Use…

A: Please refer attached file for solution below

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

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Q: What is true for the sequence of general terma, =1+(-1)" ? Select one: O converges to 2 O None of…

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Q: The intermediate value theorem can be used to prove that the equation x^2+7x+6=0 has at least one…

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Q: ose the point which shows the correct location for the polar coordinate (1, 320°). 90° 2 135° 150°…

A: Given query is to find the point of the coordinates ( 1,320°).

Q: graph of the function arcsec(x).

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Q: Use the comparison test to verify that the following series converges: 1 Σ n=15+n7

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Q: Find polar coordinates (r, θ) of the point (1, −2), where r > 0 and 0 ≤ θ < 2π.

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Q: The function f(x) = x* + 8x has O a local min at x = -6 and a local max at x = 0. O a local max at x…

A: Use second order derivative test for finding the local maxima Or local. Minima

Q: Rewrite the polar equation r = 2 sin(0) as a Cartesian equation.

A: A detailed solution is given below

Q: (5x – 6) (2а — 5) (ӕ — 3) 5х — 6 - Let f(x) = 2x2 11x + 15 - - 1) The domain in interval notation is…

A: As per Bartleby guidelines rule we have to answer only 3 sub-part of a question.

Q: Finding an Equation of a Function  Find an equation of the function f that has the given derivative…

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Q: e (2 +y+2) dV, JIIE V + y? + z? where E is the region bounded by the spheres a? + y? + 22 = 1 and r2…

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Q: F0 (-1)" Ln=1 By the 5n+1 series test:

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Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

A: This question is based on integration by parts.

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

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Q: 2" is convergent. The series 2 n=1 h+1

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Q: Compute f′(x). a) f(x) = (x2 +1) e−x^2  b) f(x) = (4e−x − e−3x)3  c) f (x) = x2 ln (x2 − 4) d) f…

A: Product Rule of differentiation : du.vdx = u.dvdx +dudx.v dxndx=n.xn-1 deaxdx=aeax Note : As per…

Q: "f(z) = -6x f'(3) = : %3D then =?. x+3 (Answer accurate to 2 decimal places.)

A: Topic  = Derivative

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given;  Minimize :(x, y) =x2+y2 Constraint: x+2y-20=0.

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (6,…

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Q: 8. Find the critical point(s) of f(x) = -5x² – x + 4. Use the First Derivative Test to locate the…

A: The given function,  f(x)=-5x2-x+4

Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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