The point (6,-9, 7) is the center of the sphere represented by the equation x² + 12x + y² - 18y +z²+14z = −141. Select one: O True O False

Q: 5 If [ f(x) dx = 18, then 5 (f(x) + 4) dx is equal to:

A: Using the properties of Integrals

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Q: 0 Sec Tanzdx subjektive (All see Tanxdx S see

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Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: (A) 3y²ex+y²dx (B) 3) [3y²e²+ y² dx 0

A: In both integration we have to integrate with respect to x . So we treat y as a constant & solve…

Q: 5. (t²-1)(4+3t)dt

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

Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

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Q: 3. Find a result by using exact for a. cos(x + y) dx + (3y2 + 2y + cos(x + y))dy = 0 2)dx

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Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

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Q: consider the integral 1² +5) dx 3 x a) Riemann sum using right endpoints and n=4 b) Riemann sum…

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Q: Which of the following is the area of the region bounded by the function y = x ^ 2 the vertical…

A: To find area of the bounded by the function.

Q: The radius of a circle is increased from 2cm to 2.03cm find approximately increase in area

A: Solving using differentiation

Q: Find a plane through the points (-7,7,-3), (1,-7,-8), (-2,-1,3)

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Q: Let a be a real number. Evaluate the following integral: So fx + y dxdy

A: We have to evaluate the integral ∫0a∫y-1y+1 x+y dx dy  where a is a real number.

Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: Find two functions f and g such that h (x) = (fog)(x). h(x)=√4x-1 Select a function for f(x) and a…

A: h(x) = (f*g)(x)  it means  h(x) = f(g(x)) we have to make it  h(x) = 4x -1

Q: Determine the following limits, using ∞o or - ∞o when appropriate, or state that they do not exist.…

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Q: ANI (2k + 1)!

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Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

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Q: If √²₁ √√1-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

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Q: For any vector v and positive constant c, the vector is a vector in the same direction as v. Select…

A: This question is related to vectors, we will solve it using given information.

Q: Q4 Mode df Jx X= -0.90623 sin(1-13x)=0 =0.5772 How? ㅗ V3

A: here  -0.90623sin(1 -3x ) =0 sin(1 -3x) = 0 then  1 - 3x = 0

Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

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Q: In Exercises 17-46, find the critical numbers of f (if any). Find the open intervals on which the…

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Q: Which of the following vectors is in the same direction as the vector a = 5i - 4j + 3k? Select one:…

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Q: 1 S. dx 3 (2x 012

A: Consider I=∫1( e2x-9)32 dx

Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

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Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: given:-Person A has $2.40Person C has $11.25To calculate the person B's money.

Q: Let a be a real number. Evaluate the following integral: Sofyx+y dady

A: ∫0a∫y-1y+1 x+ydxdy solve this double integration by first apply x integration and after with respect…

Q: Find an algebraic expression equal to sec (csc-¹ (3x + 2)). T (You may assume that — < csc¯¹ (3x +…

A: The expression is  seccsc-13x+2

Q: An area is bounded by the curve y = sinx, the x axis and the lines x = 0 and x = πT. What is the…

A: We have given curve y=sinx and x axis with x=0 and x=π

Q: ABSENT STUDENT The formula A = 1000 x 2 models the population, A, of aphids in a field of potato…

A: Concept: The population is represented by A=1000×2t Here for the present population the value of t=0…

Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A: Solution given below

Q: Express in p/q form 0.005

A: Express in p/q form 0.005

Q: Evaluate T 2 sin(2x + 3)dx = None of them 0.9989 0.9899 -0.9899 1.21 -0.9998 -0.9989

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Q: 6. S नात √(1-x dx

A: The second fundamental theorem of calculus states that if f is continousmapping in [a,b] and F be…

Q: a) Find a and c so that (a, 1, c) is a point on the line through (0, 2, 3) and Justify your answer.…

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: solve 2x+1 = x2

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Q: A lighthouse, L, is on an island 8 mi away from the closest point, P, on the beach. If the…

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Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

Q: Ishaan and Rishaan bought some chocolates. One of them bought 9 less chocolates than the other. If…

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Q: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

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Q: Determine the Cartesian equation of the line passing through A(4, -2), which has 7=(5, 3) as its…

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Q: Three different forces act on an object. They are: F₁ = F₂ F3 Find the net force Fact on the…

A: Please refer to the image below

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval.…

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Q: Problem 3. Solve below definite integrals b) [3te (b) 3tet²+1dt, In(x) 23 ©f! -dz, (d) TH In(x) dr.…

A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

Q: • We have 3 tan ³ = 3 O What's the value of Explain in detail 0?

A: