set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

Q: iv. L, x* (e* – e*) dx

A: Given:

Q: Two lines have equations L1: (0,0,1) + s(1,-1,1), s e R and L,: (2,1,3) + (2, 1,0), e R. 10. What is…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: Given r = 1 – 3 sin 0, find the following. Find the area of the inner loop of the given polar curve…

A: Concept: Area in polar coordinates: various regions enclosed by such curves can be calculated using…

Q: derivative(y

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Q: Ул4 — dx 2x2 + 1 3,

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Q: -2 2 dy 7e" + 5. -5

A: Given :∫-5-27ey+2ydy

Q: x²+3 Suppose y = and x = sin (u)ln (u) a. Determine dy using the first principles definition of a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: ind the values of a and b so that the function = x + ax + b has a local maximum at the (-16,- 12).

A: We will find the value of a and b.

Q: Consider the lines x = -1+ 2s х — 5 l1 : 3 - 2 and l2 : y = s 4 -2 z = 5+ s а. Find the coordinates…

A: The three parts of the problem are solved in the next three steps.

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x,…

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Q: Using the Laplace transform to solve the IVP: y" - 4y = 4, y(0) = 0, y'(0) = 0 we get 4 Y(s) = s(s?…

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Q: The integral (4 – y²)²dy represents the volume of a solid. Sketch the region, rectangular element,…

A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…

Q: Convert the angle to a decimal in degrees. 78°24'17" 78°24'17" =° (Do not round until the final…

A: We have to convert an angle of 78°24'17" in degrees.    Before converting, let us see first two…

Q: a. V80.5 ; where: V81 = 3

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Q: FInd the x-intercept of the plane 2x+5y+z=10

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Q: Find the equation of the following exponential function.

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Q: Find the producers' surplus at a price level of p= $57 for the price-supply equation below. p= S(x)…

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Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: Sólvé thé équátión ón the interval U30<2T. 0<2x. 4 sin 0 + 5 = 7

A:

Q: 120 a) Asymptotes b) Local maximum or minimum c) Behaviour Page 3 of 4 d) Based on your graph, fill…

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Q: 16 x5+13x3+1 f(x) = V64x10+10x8+2x4 as x→ o and x → -∞. State the Horizontal Asyn

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Q: need to find nth term, question is: Find a formula for the nth term of the sequence -1, 8, -27,…

A: Given query is to find nth term

Q: A pebble is hurled upward from the top of a 512-foot-tall building with an initial velocity of 64…

A:

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2) -6 -4 -2 6 -6 -4 -2 4…

A: Given query is to plot the point and find the polar coordinates.

Q: What are the local extreme values of the function f(x) = x³ – 3x + 2?

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Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1…

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Q: 12г3 — 9г? + 2 dr

A: LetI=∫1612x3-9x2+2dxApply the Sum RuleI=∫1612x3dx-∫169x2dx+∫162dxTake constant…

Q: Sf(x)dx = 2, f(x)dx = -5, and ſ g(x)dx = 1 . Evaluate the following 7. Suppose integrals. SF(x) +…

A: Here we have to find the given integral. I have appended the formula used in the solution part of…

Q: Jse any method to determine if the series converges or diverges. Give reasons or your answer. 9n 2…

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Q: Find the net signed area between the graph of the function f(x) = |x+ 3| – 4 and the x-axis over the…

A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: Find the length of the curves in Exercises 1-4. |1. y = (1/3)(x² + 2)³/2_from x = 0 to x = 3 2. y =…

A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: Calculus What is the inverse of f(x)= x^3 +x -4

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Q: Find a power series representation for f (t) = ln(10 – t). %3D

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Q: The value of a brand new car is $16,000 and the value depreciates 18% every year. Write a function…

A: answer is in next step

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 P4(x) =…

A: Solution

Q: nt Use the model A Pe" or A P where A is the future value of P dollars invested at interest %3D…

A: Let's find.

Q: 4 Which formula would be used to calculate the trapezoid approximation of L dx using five…

A: We have to use trapezoidal rule. Option B is correct.

Q: 3 dy dx 0 - 2x

A:

Q: Find the solution set of the following linear system. Identify inconsistent systems and dependent…

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Q: Using Linear Approximation, determine the approximate value of the following: Final answers must be…

A: Topic:- application of derivatives

Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: Given query is to find statement is true or false.

Q: What is the absolute minimum value of the function f(x) = x' - 3x2 on the interval [-2, 4] ? Оа. 16…

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Q: The area bounded by the curve y = 6(1 --), the lines x = 0 and y = 0 revolves around y = 0. Answer…

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Q: 00 4n 6(-7)"x

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Q: Find and sketch the domain for the function. f(x.y) = / (x - 9) (² - 4) Find the domain of the…

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) =x, a = 3 %D O A. P3(x) = 1 + 6(x-…

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Q: would appreciate the help. 2 questions in 1 photo.

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Q: explain

A: We will check whether fundamental theorem of calculus applies.

Q: Find the Taylor series generated by f at x=a. f(x) = 1/x2, a= 10

A: