Find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. |lu|| = 8, , = 9 ||v|| = 1, 0, = 8 u +v =

Q: locate the bifurcation values of α for the one-parameter family and describe the bifurcation that…

A: To locate the bifurcation values.

Q: Given a function f(x,y) = x* + 2y+ 8xy - 7 The critical points of f(x,y) occur at the points P(0 ,…

A: Let's find.

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 12 sin (x), a =…

A: f(x)=12 sin(x)fπ2=12f'(x)=12 cos(x)f'π2=0f''(x)=-12 sin(x)f''π2=-12f'''π2=0Taylor polynomial…

Q: 3. Scscs dx

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Q: (을) Using the miscellaneous substitution z=tan match the integral expression on the left to its…

A: Given problem:- 3.  ∫ dθ/(2-3 sin(θ))    4. ∫ dθ/(3 sin(θ) +4 cos(θ) +5)

Q: Find the derivatives of the following. Simplify your final answers. c) h(t) = sin² (esin )+ cos"…

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Q: 253 Ux_ dx

A: Use substitution method to solve the integral

Q: Find the area under the given curve over the indicated interval. y= 5: (-2, 1) The area under the…

A: We can find the area under the curve as below.

Q: 16j Use integral tables to evaluate, 3

A: I=32∫ 1x9x2-1 dxu=9x2-1du=18x29x2-1dxdx9x2-1=du9xHence;I=32∫ 1xdu9xx2=u2+19I=16 ∫ 9 duu2+1

Q: If x =0.42 and y = 0.14, then value of C in the antiderivative of F(x) = ACOS (A) V1-x2 is (use…

A: Given,            The antiderivative of Fx=xcos-1x1-x2 and x=0.42 and y=0.14.To find : The value of…

Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

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Q: x sec (3x) tan (3x)dx

A: We use integrate by parts to solve the given integral.

Q: ® Stan®Cx}sec®%x)dx= tan%x) , tan'(x) , tan'0) + C 10 6. 4

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get…

Q: 2) Find all points on the graph of f (x) = 2 sin x + sin2 x at which the tangent line is horizontal.

A: Given fx=2sinx+sin2x To find points:

Q: Given the function: За — 8 х x 0 Calculate the following values: f( – 1) = f(0) = f(2)

A: To find the value of the given function at several points.

Q: 2. Determine the slope of the tangent line to the curve f (x) = sin (x)cos (x) at the point where x…

A: Slope, m = d[f(x)]/dx

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos*(x) for x = 0.125 and y =…

A: The given fuction,  F(x)=sin3x cos4x

Q: 6 Time Taken: Mins Secs The effectiveness of a certain medical injection is modeled by E(t) =…

A: We have to find the time when reading become sufficient and when reading become too low..

Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=11 and y=20 ?…

A: Given that fx=2-2x+13-2xantiderivative of…

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A:

Q: 9.There is no function f(x) such that S f(x) dx = f(x) +C. O A. True O B. False 10.lf the integrand…

A: yhi

Q: A rope is attached to a boat at water level, and a man on the dock is pulling on the d) rope at the…

A: Draw a schematic diagram of given figure.

Q: 1. Vk +1- Vk = 1 Consider the sequence ak = and the infinite series ak. Which of the following…

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Q: Determine whether the sequence an = n° + ... + n4 + n4 n4 converges or diverges. If it converges,…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: Use the table below to fill in the missing values. f(x) 1 2 8 3 3 4 9. 4 6 7 7 8 6 9 f(5) = || if…

A: We have to find missing values

Q: The rabbit population at the city park increases by 4% per year. If there are intially 390 rabbits…

A: Given query is to find the population of the rabit after 18 years.

Q: Find the interval of convergence of the series. (3x)" 2" n=1 (Use symbolic notation and fractions…

A:

Q: Given that lim f(x) = 0 lim g(x) = 0 Xa lim h(x) = 1 xa lim p(x) = 0 lim g(x) = 0, evaluate if the…

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: 3) Derivative Applications a) A particle moves according to the function f (t) = -9t2 + 15t, t 2 0,…

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Q: y(x) = tan(V3x² + In(5x*)} - In(5x'

A: Given,           yx=tan3x23+ln5x4To find : Find dydx of following functions by using Chain Rule.

Q: Jsec?xtan3xdx

A:

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.

Q: Find the center of mass of a plate with constant density d formed over the region bounded by y 16 –…

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Q: Find the interval of convergence of E(-1)". n 2n 36" n=0

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Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

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Q: Find the area of the lateral surface of G z=x^2+3y^2 and below by the plane z = 0, and laterally by…

A:

Q: 5

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Q: The integral expression Xsin (2x)dx can be evaluated using integration by parts of the form Sudv=…

A: Here, the given integral is: ∫xsin2(2x) dx

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: y(x) = tan(v/3x² + In(5x*) %3D

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Q: (을) Using the miscellaneous substitution z =tan match the integral expression on the left to its…

A: As per bartleby guidelines we only give first three questions answers.

Q: Front width: in. Depth: in. Height: in.

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Q: dx Evaluate: xV x2 +4 Vx² +4 - 2 +C Vx² +4 +2 Vx²+4 - 2 ® zin x² + 4 +2) B + C None of the given…

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Q: Find the equation of a Tangent line to y = 2x2 – 5x – 1 that is parallel to line x + y –

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Q: 8) The vertices are (2,4) and (2,8). Foci are (2,3) and (2,9).

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Q: Let (x,y) = Cbe the antiderivative of F(x) = x-cos(2x), Determine the value of Cif x = 79 andy= 71.…

A: We need to find value of C