Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n = 4, P4(x) = = For n = 6, P(x) =

Q: Which of these could not be a parametrisation of y² = 8x...? a) y = t, x = ² Ob) y = 2t, x = t - Oc)…

A: Solution )  y2 = 8x  a) When y = t  t2 = 8x  x = t2/ 8  ( correct )  b ) when y = 2t  ( 2t)2 = 8x…

Q: At what interval is y=3x5 – 5x³ decreasing? C O −11

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 3 x intercepts…

A: Given query is to find the equation of the function.

Q: In Exercises 3-6, give any two points in the given plane. 3. 2x - 4y +7z=2

A: Question-3 . NOTE: Refresh your page if you can't see any equations. . the given plane is  here we…

Q: Calculate the iterated integral. 13 3 2 LI (6x2y – 5x) dy dx /1

A: To evaluate the given double integral

Q: (a) find vectors 30 and +2 (b) find lu + 2√1

A: The answers are given below:

Q: Inverse laplace 1/(2s^2+4s+20)

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Q: (a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x -…

A: For xy-plane, z=0. For yz-plane, x=0. For xz-plane, y=0.

Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 7, b) a sum not…

A: A pair of dice is rolled.

Q: State whether the equation is a parabola, ellipse or hyperbola. Then state whether it is vertical or…

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Q: The number of people that attended the annual street fair this year was 1230. It is estimated that…

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Q: lim (x,y)→(0,0) 1 - cos(7xy) ху x-y lim (x,y)→(9,9) x4 — 4 - = m m www m

A: We need to evaluate limit.

Q: The postal service will accept a box for domestic shipment only if the sum of its length and girth…

A: Let's find maximum volume.

Q: Given the following vectors, calculate −8u+7v U=(-8,5),V=(8,3)

A: Given query is to find indicated vector.

Q: Given vectors u (-1,-3) and v = = (-9, 2), find u - v. Provide your answer below:

A: As we know from the definition of the dot product of the two vectors. If the given vectors are a=a1,…

Q: A covered box is to be made from a rectangular sheet of cardboard measuring 45 inches by 72 inches.…

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Q: Evaluate: Sin (sin ²¹ (2) + tan ¹ (-3)

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Q: f(x, y) = 3 sin(7xy) and g(x, y, z) = √121 – x² - y² – z². Find the following function values

A: Given functions:- fx,y=3sin7xy gx,y,z=121-x2-y2-z2

Q: Find the first four term of the Maclaurin series of the function f(x)=√x at c=1. Give an estimate…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: Activity 3.4.2. A soup can in the shape of a right circular cylinder is to be made from two…

A: To determine the objective function

Q: A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the…

A: In this question we have to find how many gallons of each brand of antifreeze must be used.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: we have to find the component form of vector v ,   whose magnitude  ||v||=4 and angle with positive…

Q: (a. f(a)) is a relative extrema of a function f. When xa, f'(a)>0. (a,f(a)) is O maximum point…

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Q: A new car lists for $18,600 and depreciates by 25% per year. Find its value after the following…

A: NOTE: Refresh your page if you can't see any equations. . the initial value of the car is a=18600…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. ·S*· g'(x)…

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Q: The graph above shows the base of an object. Compute the exact value of the volume of the object,…

A: volume of an isosceles triangle volume=0.5(b)(h)(w), where b is the length of the base of the…

Q: Find the area of the region enclosed between f(x)=x²-x+ 10 and g(x) = 2x²-3x+1 Area =

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Q: Find the area of the shaded region. - 4x (3,15) 3

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Q: 3 A curve is given parametrically by y = 2t 2, x = t²-1. The area between the curve and the x-axis…

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Q: 2) Given that tan o= 3 where & is quadrant III 0 9 find seco b) Given that csc o² = -9 where of is…

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Q: 1. 4× 22 || Decenas 4 x 22 = 4x decenas + || || Unidades + unidades) (_________ decenas) +…

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Q: Given the following vectors, calculate −9v u=(-8,-4), v=(3,-2)

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Q: Evaluate the integral. ㅇ뿡 ○. ㅇ쁨 dx

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Q: Developing Find f'(x) 1) f(x) = sec(x)e* 2) f(x) = 2* + 4x²

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Q: solution

A: Please refer to the image below

Q: f(x)= x^2log(x) look at the graph to find which function dominate the polynominal or the logarithm.…

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Q: 8 3 3.s²+12 $²+49 +

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Q: Find the area inside the loop of the following limacon: r 7-14 sin 0 -

A: Given: r=7-14sinθ To find: Area inside the loop of the given limacon Now, we know that area of the…

Q: a) J (te¹ + t)dt. b) fw sin(2πw)dw. c) fet cos tdt.

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Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: Solution: When two dice are rolled

Q: = converge or diverge? pply: Series Converges Diverges n=1

A: Topic:- sequence and series

Q: 6. Let f be a function such that f(1) = 1, ƒ′(1) = 4, ƒ”(1) = −2 and ² ƒ""(t)(2 – t)²dt = 3. Find…

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Q: a) Draw the vector 2 - 3 + W. b) Show how to use the parallelogram rule to add u and w

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Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: The marginal cost for a company to produce g items is given by MC(q) = 0.005q^2 - 0.7q+ 620. The…

A: Marginal cost for a company to produce q items   MC(q) = 0.005q2 - 0.7q + 620   Company's cost =…

Q: f(x)=xe^-x How can you use limits to decide which of the two factor functions in f(x) dominates as…

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Q: In this question, you will use a substitution to carry out the following integration: So If the…

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Q: The Maclaurin series for cosx is ...? O a) 1 + +2 +4 +6 2! 4! 6! ○ b) x - - 6 + .... 21 + 21 − 2 +…

A: f(x)=cosx The Maclaurin series of a function is given by :…

Q: Use Green's Theorem to evaluate √x + 4y, 2x + √ÿ) e fF. dr F = √ √√√x + 4 F. dr, where and C…

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