Task Title: Pair Me! Materials: Mathematics notebook and ballpen Instructions: 1. Form 8 mathematical sentences using the four fundamental operations by picking one fraction from each box. 2. Solve for the answer in your notebook or paper. 3. Express your answers in lowest terms. Note: Two mathematical sentences (1 similar terms and 1 dissimilar terms) for each operation. 2 2 5 2 2 3 1/2 1 25 2|3 11 216 BOX A 619 8 BOX B 9 10 516 S37 5 3 1 4 513 1 7 1 15

Q: 11. Find the angle between the planes: 4y + 3z = -12 and 3x +2y + 6z = 6.

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Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: Does the sequence converge? If so, what is its limit? If not why not? ne-n nten n=1

A: 1) The given sequence is;  (ne-n/(n+e-n))infinity n=1. 2) The given series is 2/(-5)n.

Q: (cose + i sine)" = cosno + i sin ne

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Q: Stan 2xdx O-In(cos 2x) + C O-In (cos 2x) + C O-In (sin 2x) + C O tan² 2x 2 + C

A: INTEGRATION

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: Here, the eigenvectors corresponding to λ=-3 is 011

Q: The graph of the function f on the interval [-4, 4] is shown above. What is the value of f(x)| dx? 5…

A: integration

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

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Q: Find the point on the curve y = (x − 8)² +9 at which the curvature K is a maximum.

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=x²y²z²-4 At point (1,-1,2).

A: To find normal line and parallel plane to the function fx, y, z=x2y2z2-4 at point 1, -1, 2.

Q: If f (x) = 1 and (a, ƒ(a)) and (a + h, f(a+h)) are points on f(x), where h = 0, then 2x -1 f'(a) =…

A:

Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below

Q: Using the Inverse Function Theorem, what is (-1) (8) given that /(x)=√6x-2? Note that (11) = 8. (Do…

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Q: Evaluate: f(cos 5x - 2 sin 3x) dx O sin 5x - cos 3x + C Osin 5x - cos 3x + C O sin 5x+cos 3x + C…

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Q: Concept Check: Evaluate the following integrals: 1. f(3u³ - 2u³ +/u) du

A:

Q: Find f'(0) if f(x) = = ad-bc d² ad+bc d² bc-ad d² ad-bc (c+d)² ax+b ca+d; a, b, c, d constant

A:

Q: Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

Q: 14) A 300-foot cable weighting 4 pounds per is hanging from which 300 feet Level. Find ground the…

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Q: If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4

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Q: Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

A: The given integrals are' 1) xsinx 2)xcos2x 3)exsinx.  Repost the next parts.

Q: dy B)Solve differential equation dx -(x²+y) x+siny

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Q: use the chain rule to find the derivative of function 3 5t² 3t²+2

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Q: dx 17 +2ox +5х2

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: consider the function f, such that f(x) = (ax + 3) * e*. If the slope of the tangent line to the…

A: Topic = Derivative

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: 5. 3√√xdx 6. S dx dx 7. S- X 8. f s 2dx 3 2x -10

A: Given

Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

A:

Q: Find (f+g)(x) and identify the graph of f+g. f(x)=x² and g(x) = 5 Part: 0/2 Part 1 of 2 (f+g)(x) =…

A: As per our company guidelines we can answer only one question at a time so if you need more answers…

Q: The graph of the function 86 f(x) can be obtained from the graph of y = f(x) by one of the following…

A: Solved below.

Q: Given the function: f(x) = { // x³-1 x-1 if x #1 k if x = 1 What should be the value of k so that f…

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Q: Find both first partial derivatives. z = 8y2 sqaureroot x

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: The manager of a restaurant found that the cost to produce 100 cups of coffee is $10.55, while the…

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Q: π/2 B)Evaluate the integrals: i) f/2 sine rdrde, π/2 ii) f/25/2 sinxz² siny dz dy dx.

A: See the details solution in below

Q: 1 f(x) = X g(x) = Inx A) In[f(x) + c C) Inf'(x) + c 1 1+2e-x A) In|1+2e C) Inje*+1| + c 5. f(x) g(x)…

A: We can answer both the question as below.

Q: Find the slope of the line, and sketch its graph. 7x-6y=42 Find the slope of the line. Select the…

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: 2. Find the slope of the tangent line to the curves: (a) xy + y³ = 12 at the point (2, 2), (b) 3x4/3…

A: This question can be solved using the concept of tangent and normal using application of…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X…

A:

Q: the complex number 6√3+6i in polar form O 12(cos(n/6)+isin(n/6) O 12(cos(n/4)+isin(n/4) O…

A: As we know that; The complex number z=a+ib can be written as polar form; z=rcosθ+isinθ Where;…

Q: 1 1² +49 When solving O a) I = [sen (0) de Ob) I=tan(0)de O c) I = cos(0)de I= O d) I-sec(0)de I=…

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Q: the complex number 6√3+6i in polar form* 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

A:

Q: Sketch the region enclosed by the given curves. y 10 y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤* 1.5 2.0…

A: We have to find graph and area of it.

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Dear learner, As per our guidelines, we can provide the solution for first three parts only. Kindly…

Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2e…

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Q: Consider the following sequence x₁ = √₁, x₂ = √1 + √I, x3 = √1+√₁+√₁ Evaluate lim xn (No credit for…

A: The given sequence,x1=1, x2=1+1, x3=1+1+1

Q: The graph of the function y = f(x + 76) can be obtained from the graph of y = f(x) by one of the…

A:

Q: Solve the following linear programming problem.   ​Maximize: z= 39x+10y subject​ to: 8x+6y ≤48…

A: Given that, Maximize: z= 39x+10y subject​ to: 8x+6y ≤48   13x+y ≤48…

Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…