. Evaluate cos 0 if sin 0 = -1/4 and 0 is in quadrant II

Q: Question 25 Find the standard form of the equation of the parabola using the information given.…

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Q: 1 ): The vectors 2 and form a basis the vector space R'. Select one: O True O False

A: Here we state whether it is true or false.

Q: A cylindrical container with both ends closed has a radius r cm and a volume 100 cm³. Determine the…

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Q: Find the derivative of f (x) = In x- A. В. 1– x2 2 C. x2-1 D. x² +1 E. None of these 1- x2 Given the…

A: To differentiate the given functions.

Q: 3. Case 3 e 2k -1

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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.015 per…

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Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: The given equation is: -225x2+100y2+36z2=0⇒-x2602+y2902+z21502=0

Q: ) Use implicit differentiation to find dz/dx and dz/dy for x² + y² + z² = 3xyz.

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Q: 4In(Arctan x) = 1-y

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Q: 10% -10 -5 5 10 -5 -10 Find the direction angle of vector v to the nearest tenth of a degree.

A: The graph is To evaluate: The direction angle of the vector.

Q: 12. Let y = 4x-4x+3. %3D (a) Find the equation of the tangent line to the graph of the function at…

A: Solve the following

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Find the curvature of the space curve. r(t) = - 3i + (3+2t)j + (t +8)k %3D

A: The given curve    r(t)=-3i+3+2tj+t2+8k

Q: x2-16 x - 16 Let f(x) = (a) Calculate f(x) for each value of x in the following table. (b) Make a…

A: This question can be solved using the concept of limits.

Q: Question 17 Write the vector v in terms of i and j whose magnitude Iv and direction angle 0 are…

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Q: Find maclurine seris sin

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Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to z2 + y…

A: We have to maximize f(x,y,z)

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u- 2j, v = 9i - 4j…

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Q: 5. If the characteristic equation of the differential equation 27 - 184 dx +8- y-0 is dx 27m -18m…

A: The characteristic equation of the given differential equation is 27m4-18m2+8m-1=0.

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Given equation is quadratic so accordingly draw the graph and then solve .

Q: (b) Find the values of a andb so that the function f(x) = x2 + ax +b has a local maximum at the…

A: We have to find the value of a and b

Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

Q: Researchers found the demand for cheese in a particular country for a particular year can be…

A: The equation is given by lnq = D-1.32lnp                                 ........1 Where, p…

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. xy =…

A: This question is based on diffrentiation.

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…

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Q: Determine if the infinite series is convergent or divergent. Σ n=13n+1

A: The given series,     ∑n=1∞n3n+1

Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) ** =…

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Q: Evaluate f x(x- 1) dx | c. (x + 1) -x + 1) +C D.x – 1) -- 1) +c x(3 35 1)z (x- | | 35 35 35 |

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Q: In 2 e2x dx V1+ ex

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Q: 8x -2x3+7

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Q: 4 8. + 6. 16 Consider the following geometric series: 2+ + .... Identify a and r, find a formula for…

A: The given series is  2+4/3 +8/9 +16/27+...

Q: answer item 2

A: Topic:- limit

Q: Evaluate the following integral. 6x cos x dx - 4x

A: Given,  ∫-4π6πcos2x dx

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)´dx 2. S cos³ 3x dx 3. S tan5 2x dx

A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

Q: 2. Which of the following is the process of finding the antiderivative of a function? A) Limits B)…

A: Topic:- integration

Q: 1.) Which of the following are TRUE about differentiable function: I If rx) exists, then the…

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Q: Fill in the missing correct answer to simplify the given complex fraction. Complex Fraction: X-y x2…

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Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

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Q: Sx² sec2 x³ dx

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Q: Decompose v into two vectors Vị and v2, where vi is parallel to w and v2 is orthogonal to w. v - -2i…

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Q: Find the linearization L(x, y) of the f(x, y) = x°y® at the point (2, 2). L(x, y) = %3D

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Q: x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x -9 a. lim f(x) b. lim…

A: The given function,   f(x)=x-3x2-9

Q: Find the average value over the given interval. 11) y =x2 - 3x+5; [0, 3] D)- A) 5 B)

A: As we know that; The expression for the average value of the function over the interval a,b is:…

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: 0.005t2 + 0.9 Suppose that in a memory experiment the rate of memorizing is given by M'(t) | where…

A: Topic:- application of integration

Q: C) 8 +C

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Q: Let f(x) = (4sin z + 2 cos z)arctan z f (x) =

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Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 37°, a = 28, c = 26 %3D m/B =…

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Q: 2x2 ) 3x Evaluate the given limit of lim if it exists. 1 x +1 O 1 O limit does not exist 2

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Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

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