. On the CLAIM box, you will state your stand about the given question. On the EVIDENCE box, you must provide the necessary data supporting your claim, and on the REASONING box, you must state mathematical concepts/ideas that will justify your claim. Learning Competency: illustrate an antiderivative of a function. Question Is f (x² + 5x + C) dx = 3x + 5 correct? CLAIM EVIDENCE REASONING

Q: The graph of } = xe-r is symmetric with respect to the Origin None of these the x-axis the y-axis

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Q: Find the volume of the solid formed by revolving the graph of y = 2e- on the interval [0, ∞) about…

A:

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Let's solve given integral.

Q: وسلام ax x2 ل ے- ل

A: Given :∫-4-2dx-x2-6x-5

Q: Evaluate the given limit. Show your complete solution. lim [e6x + x² x²] =/= 8x

A: Given problem:-

Q: xy lim 2 (x,y) (0,0) x² + y²

A:

Q: Given f(x)=√ and g(x) = x. Which of the following integrals describes the area between the curves…

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Q: 24 The following limit gives the derivative of a function f(a) at a point zo: √8th-2 lim h 0 h

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Q: What is S (x² + 2x)² dx? + x³ + ³x² + C 4 S (x² + 2x)²dx = ¹x¹ + x³ + 4 f (x² + 2x)²dx = (x² + 2x)¹…

A: We know, ∫xndx= xn+1/(n+1)

Q: 5. a) How many ways can 6 people be lined up to get on a bus? b) If a certain 3 persons insist on…

A:

Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: Explanation of the answer is as follows

Q: 4. | Give the general equation of the plane containing the point (3,-1,4) and 2-2 perpendicular to…

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Q: Determine the total area bounded by the functions f(x)=-x2+2 and g(x)=x3-x2-x+2.

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Q: X3-4X Which of the following graphs represents the function 1(x)=2x²+2x-4 -? 5 1 2 f(x) O O 4 7

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Q: 29 ² (²4) is the derivative of a function g(x). Over which one of the following intervals is the…

A: Given :g'(x)=x2x2-4x2+1

Q: Given: ez + xy = 1 Find: əz ?х de dz dz 82 da 8z dz = = -I zez+y -eitz. -*e* ze²+y -ze**-y re**

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Q: Q₂/ Answer one from the following :- 1- Integrate the function f(x,y,z) = xy over the volume enclose…

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Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given a function, Based on the function, S-3 F(s) = 2 S² +6s+13 a) Determine ƒ(t). b) Based on…

A:

Q: what is the lim f(x)9(x) if lim g(x) ln f(x) = +∞ x→a x→a

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Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Here we have to check the convergence of given integral

Q: Give the general equation of the plane containing the point (3,-1,4) and perpendicular to the line…

A:

Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i-2j+ 2k. 1, Find the unit vector…

A: We can solve this as follows:

Q: Given w = xe¯ª + ln(x²yz³). Determine δω ?х ?w dx 2 = -xe tết xyz³ dw = xe¯* + 1 + 1²/12 8x dw…

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Q: Determine the volume of the solid formed by revolving the region bounded by x² + y² = 4, y = 3x, and…

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Q: 2. Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1. 2

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y1/2 dy + y3/2 = 1, y(0) = 9…

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Q: ل 2 ل وه هه ** ** " سم Z || . 1

A: Given problem:-

Q: Find y' y = e2x - e3x e4x

A: This question is based on diffrentiation of exponential Function.

Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

Q: dx What is where dy' x³ + y³ = 3xyusing implicit differentiation?

A:

Q: (ii) Suppose z = f(x, y), where x = g(s, t), y = h(s, t), g(1,2) = 3, gs (1, 2) = −1, gt(1, 2) = 4,…

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Q: PREGUNTA 12 For the table shown, calculate units per hour: Total Normal Minutes 39.981 Allowance…

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Q: A Ferris wheel is 57.85 m tall and has a diameter of 54.4 m. What are the dimensions of a scale…

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Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

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Q: - S™ SX x² cos cyldy dzdx

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Q: What is the equation of the curve that passes through the point (-2,3) and whose slope function is…

A: In this question, we need to find the equation of curve from the given options.

Q: 30 Which one of the following is the gradient of the tangent line at the point (5, 1) on the graph…

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Q: Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it…

A: This question can be solved using the concept of limit and continuity.

Q: 4 Determine the radius of convergence for the series n=1 2-4-6-(2n) 2-5-8--(3n - (17) ³².2²

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Q: The domain for the function ex y = x ln(3 - x) is {x/x 3} O

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Q: What is the limo+ sin(y) In(y)? For answers write... that are in decimal form and round off to…

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Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: What is f 5√xdx? 3 f 5√√xdx = 5x² + C 2 3 f5√xdx = 10x² + C 3 f5√xdx = 5x² + C 3 [ 5vxdx= 5x? +C

A: Let's solve given integral.

Q: Given a function f(w, x, y, z) = 2(w + 1)² x − xe²+, which of the following is not part of the total…

A: Given a function fw, x, y, z=2w+12x-xez+y2zw, to determine which of the following is not part of the…

Q: dx What is where dy' 3 x³ + y³ = 3xyusing implicit differentiation? dx y- dy dx = dy y²_ dx y+x² =…

A:

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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

Q: PROBLEM: Integral of sin²x cos²x dx is equal to A. X+C B. cos2x/16-x/8+C C. x/8-(sin 4x)/32+C D.…

A: We need to find integral.