Find all values of c so that (2, 1, c) and (c – 1, 2, 2c) orthogonal. are

Q: mzer Mathematics Q1 Solve the following differential equations dy +y = y°x² In x dx dy (sinx – siny)…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: Determine the Average value of g(x)=-4x-3 over the interval (0,7)

A: See the details solution in below

Q: Find an equation of the tangent plane at the given point: F(r,s)= 2r3(1/s0.5) - 2(1/s4), (2,1)

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Q: If hyperbola 36x^2 - 49y^2 - 100 = 0 has an eccentricity of e= √85/7, what are the asymptotes and…

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Q: Find the volume generated by revolving the region bounded by the given curves about the y-axis. Use…

A: To find the volume of solid generated by revolving the gives curve about y axis using disc method.

Q: Given: (x - 2) - (y- 1) 1, identify the center, vertices, and foci. 4. 5

A: Hyperbola

Q: Determine the area of the largest rectangle that can be inscribed in a circle of radius 5, as…

A: We have to find area of largest rectangle that can be inscribed in a circle of Radius 5 unit.

Q: A Trapezoidal trough is 10 ft long, 4 f wide at the top and 2 ft wide at the bottom and 2 ft deep.…

A: Given: A Trapezoidal trough is 10 ft long, 4 f wide at the top and 2 ft wide at the bottom and 2 ft…

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 100 is…

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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: 5. { xe*dx (1 + x32

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Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road…

A: The police car and the red car are at the twovertices of a right angle triangle with legs of200 feet…

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Q: ,on what interval(s), if any, is the graph of f(x) incre: always decreasing

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Q: Suppose that the graph of a function f is known.  Explain how the graph of of y = f(x) – 2 differs…

A: Let us consider graph of a function y=f(x). Now if we move the graph y=f(x) by c units in downward…

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = Vx2 + y2, P(7,…

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Q: In this figure, p || g. Find the value of x. (9x + 12)° (x-2)° >4

A: Topic = Geometry

Q: Solve for x by converting the logarithmic equation log1/7 (x) = 2 to exponential form.

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Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = . What is the value of C if x=16 and y=19?…

A: Here is the solution

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: The given question has been solved in detail

Q: Eliminate all the constant in the equation and simplify your final answer. 1. y = C,x + C2e*

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 11 tan(x). %3D…

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Q: 1196) The line, x-ky^2 shown in Fig 1185, is rotated about the x axis to form Find the volume…

A: Given that the line x=ky2 is rotated about the x-axis to form volume.

Q: 4, X^ 3^ dx

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Q: 54 in. 2/2 in. 2'2 in. Volume = %3D Surface Area = %3D

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Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

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

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Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 2800 f(t) : (æ +…

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Q: Question 4 is simplified, the equivalent expression can be written in the form x+1, x +-2.…

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Q: A region bounded by f(x) = 2x-2, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: A region bounded by fx=2x-2, y=1, y=4, and x=1 is shown below.To find the volume of the solid formed…

Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: a) l . Find the length of the curve 20 y= x, 0sx<3 V5 Length= b)! !: Find the area of the surface…

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: The count in a bacteria culture was 500 after 20 minutes and 1100 after 40 minutes. Assuming the…

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Q: What's the difference between finding the difference of the tangent line, and finding the tangent…

A: What's the difference between finding the difference of the tangent line, and finding the tangent…

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

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

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

Q: Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows: Let f(x)=1/x and…

A: Given problem:- Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows:…

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

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Q: Let f(x,y) = C be the antiderivative of F(x) = x<cos(2x), Determine the value of C if x = 35 and y=…

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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: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

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Q: 1. Determine if each series converges or diverges, you can use any of the tests discussed in class.…

A: a) ∑n=1∞3nen-1b) ∑n=1∞1+3n2nc) ∑n=3∞3n-14n

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To evaluate the given limit of the function.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: S(4x3 + 9x² + 4x – 1)dx -

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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: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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