Y = Vx + 30 y = x Y y = 0

Q: For the function below, determine each of the following. g(x) =. + 6 (a) Find the critical values of…

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Q: 1 dx – 1 /3

A: The given integral,       ∫3∞1x-1dx

Q: Evaluate the following limit: lim (7,y)→(0,0) 5æ6 + 6 sin°(y) 14x6 + y6 3 4 11 15 2 3 The limit does…

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Q: Find the angle e between the vectors in radians and in degrees. u = cos()i + sin()i, v = cos( 31 )i…

A: Given,  u=cosπ3i+sinπ3j v=cos3π4i+sin3π4j Now, we know that  cosπ3=12 and sinπ3=32cos3π4=-12 and…

Q: (In x)³ 13 dxp

A: Topic  = Integration

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

A: Here, the given region is bounded by y=64-x2.

Q: Given sin(1 - 2). y z = sin(1 – x = 2 – ts and y = 2t – s z = sin( 1 dz then calculate * when t = -1…

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Q: The base of a rectangular box, open at the top, is to be three times as long as it is wide. Find the…

A: Given, Rectangular box, l,b,h be the dimensions. l= 3b According to given, Volume= lbh= 2250 cubic…

Q: Omar is flying two kites. He has 95 feet of string out to one kite and 114 feet out to the other…

A: The objective is to find the distance between the kites.

Q: Solve the right triangle. Round your answers to the nearest tenth. A = b-0 56° 22

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Q: | (6x – 3* dx = / (бх f(u) du where u = (enter a function of x) dx (enter a function of x) = np a =…

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Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: We need to complete the description of the graph.

Q: A fence is to be built to enclose a rectangular area of 450 square feet The fence along three sides…

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Q: A car rental agency rents 190 cars per day at a rate of $40 per day. For each $1 increase in rate, 5…

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Q: hit

A: Given,  h(d)=-1/125d^2+d where, Horizontal distance is d. Height is h.

Q: f(x) = x - 16 Ос. х%34, х%3 - 4, у%3D0 O D. x-4, x= - 4 Choose the correct graph below. OA. OB. OC.…

A: Given query is to find the asymptotes and the graph.

Q: 10. Find the first partial derivatives of the following functions (it is not simplify). (a) f(x,y) =…

A: Given query is to find the partial derivative if the expression.

Q: 67 V3 1 Use De Moivre's Theorem to express the complex number on the form a+ bi. ---1

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Q: 3 Given the double integral, e* dxdy. andy. O 3y i. Is it possible to evaluate the double integral…

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Q: In the year 2000, the population of a small city was 48,000. The population grows at a rate of r(t)…

A: Follow the procedure given below.

Q: Consider the function f(x) = 2x + 18x? – 42x + 9, - 7< x < 2. This function has an absolute minimum…

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Q: Solve the right triangle. Round your answers to the nearest tenth. A = 0- D. 56 22 A

A: Given, Right triangle  theta=56° adjacent =a opposite =b hypotenuse = 22

Q: 3. The following curves bounds a certain area: y = 4x – x2 y = 4 and x = -2 Determine that area.

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Q: 2²y ds, C:x = cos t, y = sin t, z = t, 0 < t < a/2

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Q: Find f'(1) for f(x) = In(v6x – 3).

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Q: f(-9) = 0 f(-1) = 0 f(2) = 2 f(4) = 4 f(6) = 3 lim f(x) =∞ lim f(x) =-∞ X--5+ lim f(x) = ∞ lim f(x)…

A: Concave up:(-∞, -5) : f''(x)&gt;0function is decreasing in (-∞, -9)f'(-9)=0and function is…

Q: Find a particular solution y, of the following equation. Primes denote the derivatives with respect…

A: Here we have to find the particular solution of the given differential equation.  y5+2y3+2y''=9x2-6…

Q: If f(x) = 4x(sin x + cos a), find f'(x) = COS f'(2) =

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Q: 5. For a vcctor Á written in spherical coordinates, A = A,f + A,® + AøØ, the spherical coordinate…

A: The answer is in below steps.

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

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Q: solve the exponential equation. If the solution is not an integer, round to 4 decimal places.…

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Q: Stxª_ 3x3+ D -2)x= * (8x* -30,3+5x-80) x (8x1 -30x3+5x-80) 40

A: This question can be solved solved using integration as the inverse process of differentiation.

Q: Solve D.E using Exact from first order (x' +y' )dx+(2xy + cos y)dy

A: A differential equations M dx + N dy = 0 is exact if  My = Nx

Q: 9. Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vx²+x a) lim X--00 -3x

A: topic- limits

Q: A supermarket manager estimates that a total of 400 cases of soup will be sold at a steady rate…

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Q: The gcd of 7544 and 115 is: O 23 O 15 O 3

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Q: Consider the following x = 2 + t², y = t² + t³. Find the following in terms of t: 1) and enter it…

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Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x - 13x + 12;…

A: The given polynomial function is: fx=x3-13x+12 To find the rational zeroes and then other zeroes of…

Q: Find an arc length parametrization of a helix of height 20 cm that makes four full rotations over a…

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Q: If+y = 25 and dz/dt = 5 , find dy/dt when y is positive and %3D %3D (a) z = 0 dy/dt = 0 (b) z=1…

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Q: PROBLEM [ B6 (a) ] : Obtain the differential equation whose general solution is y = a sin 7x – b cos…

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Q: 8, -4, 2..... the next terms in the GP shown is

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Q: find the derivative of the following: f(x) = e^x (2x^2-x+3)

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Q: -1 Sketch the function fx) = indicating any extrema, points of inflection, and vertical asymptotes.…

A: Follow the procedure given below.

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

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q -0.9q + 600. The…

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Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: 2. The set of all rational numbers in the interval (0, 1).

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Q: A bicyclist traveling at 14 ft/sec velocity (ft/sec) puts on the brakes to slow down at a constant…

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Q: SIn?C3x) +C 4

A: To find the missing value in the integral expression.