TT/2 11. f/² sin²x cos²x dx 0

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Q: 6. The function f(x) is defined by the graph. State the value of each: c) lim f(x) = x →-1 d) f(4) =

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Q: Use the definition of the derivative to find g'(x) g(x)= (3x) / (x-2) , g'(x)= (-6) / (x-2)^2

A: Let a function f( x ) then according to the definition of derivative Given function

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Q: 5. The cost of a certain piece of machinery is Php9500 and its value is depreciating with time…

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A: The amount of radioactive carbon-14 left in a sample of biological material over time is given by…

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Q: Evaluate the following integral by first converting to polar coordinates. Z 2 −2 Z 2 − √ 4−x2 cos(x…

A: x is varying from -2 to 2y is varying from - to 2The region is a circle which lies only in first two…

Q: Given f(x, y) =-3x¹ – 2xy² – 6y5, find - - fz(x, y) = fy(x, y) =

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Q: Analyze the following function with respect to its intercepts, asymptotes, turning points, and…

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Q: Question 7 What is the exact value of Show your work tan(ese-¹(-)), csc PENCIL THIN BLACK

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Q: 7. a) Prove that, fo-y²= 4√2n a dy = [163/²

A: Note:-Since you asked multiple questions , according to our policy we can solve only first question…

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A: I have appended the concept used in the solution procedure part

Q: Evaluate the integral. √(-8si + 53²j + 2k) ds = a(t)i + b(1)j + c(t)k (Use symbolic notation and…

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Q: Solve the following equation for x. 9* = 27

A: We know that the formulaa^m=a^n => m=n

Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: Find the transition matrix from B toB'  B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}, B' = {(0, 0, 1), (1,…

A: Given :- To Find :- The transition matrix from B toB'

Q: Let r(t) = (14, 15) g(t) = sin(31) Evaluate the derivative using the Chain Rule. (Use symbolic…

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Q: dy = x³ where y = 7 when x = 0. dx What is the value of y when x = 4 to significant figures? 12 15…

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Q: Compute the derivative (r₁ (1) r₂(t)) if r₁ (1) = (1³,1³,16) r₂(t) = (e²¹, est, e71) (Use symbolic…

A: two corruptions are found in your answer are;1) express answers by using a 'comma' instead '+'…

Q: If F(x)=4-x and g(x) = 2x +3, find a value of such that F(x - 2) = g(2x). 40 22/10 0-2 O 0-1/3 O LO…

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Q: 1. Which equation can be solved by referencing the graph below? secx = tanx+1 tanx=cscx Otanx+1=cscx…

A: We need to find correct option.

Q: 1. Consider the following vectors a = [1, 3, 2] & b = [-2, 2, 1] a. Draw each vector on a grid b.…

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Q: d) y = x453x-1

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: 2. Determine the derivative of the function f(x) = 2x² ecos 2x Express you answer in simplified…

A: Given :-  The function To Find :-  The derivative of the given function.

Q: For the function f(x,y) = 6 of find and 8x+3y' dx dy

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Q: Using the change of base formula, log47 = ? O log (7) log (4) O h(4) h(7) Olog (4) log (7)

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Q: (d²x) Q²: L {1²} dt² =?

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Q: the graph of y=f(z) (below) to fill in each box with the best possible answer: 1) lim (2) 3 11) Im…

A: By using the graph of  to find the following limits.Note: Since the student has posted many…

Q: 55. h(x) = f*cos(1²) di

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Q: Using the graph above, evaluate the following limit. lim f(x) (A) 1 (B) 2 (C) 3 (D) The limit does…

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Q: Find the location at t = 3 of a particle whose path satisfies = (181 +7+12+21-4) 2t r(0) = (8,7)…

A: To evaluate r(t) at t =3.

Q: Smith Pro Company managers received the following incomplete performance report: (Click the icon to…

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Q: The Lagrange multiplier technique is to be used to find the points on the ellipse 2r² + y² = 1…

A: The Lagrange multiplier technique is to be used to find the points on the ellipse  closest to and…

Q: What is the area of the region bounded to the right by = by x = y²? 543-2-1 2 3 4 5 O co/ co/ col∞o…

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Q: Determine whether the series is convergent or divergent. Σ(13)

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Q: Find an equation of the tangent line y(x) of r(t) = (t7, t5) at the point t = 1. (Use symbolic…

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Q: Determine all possible values of 0, 0≤0 ≤ 2π, if sin = √√3 2 cot 0= -√√3

A: Note: Due to guidelines, I can solve only the first question

Q: Find all the second-order partial derivatives of the following function. w=5ye3x² - 4y

A: w= 5ye3x^2-4yWr have to find all second order partial derivatives

Q: In a study of factors that influence brand switching by a certain demographic, the following factors…

A: Since, you have asked a question with multiple subparts, as per company guidelines we will solve the…

Q: Find the derivative of the function at Po in the direction of A f(x,y) = - 4xy-4y², Po(-5,4), A=…

A: Given :- The function To Find :- The derivative of the function at P0  in the direction of A.

Q: What is the general solution to √æ² +3¹² = 2x ? dz Oy= 2√²+3+C Oy=√√√²+3+C Oy=C√√√x² +3 Oy= 2√x²+3+C

A: given

Q: Find the solution of the differential equation r" (t) = (e6-6, ²-1, 1) with the initial conditions…

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Q: (a) Consider the first order separable differential equation (2x+3)(y² - 4) dy dx - (i) Find the…

A: Given that, the differential equation is                      (i)

Q: Given f(x, y) = 6x³ - 4xy² + 5y, find fzz(x, y) = fry(x, y) =

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Q: The following table gives some of the values of g(x), g'(x), f(x) and f'(x): Use the table to find…

A: Question 1)We first need to find the derivative then apply the values from table:-Now, we find the…

Q: 8. Find y'if y = x³ + sin(x)

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Q: q 22. 16 determine the magnitude and direction of the vector v = and also show that  v = |v|u ,…

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