· [2² 1. ² dx

Q: ¹In(1+x) -dx X

A: According to guidelines we must answer only one of the multiple questions given. So, I answer only…

Q: (x - 8)dx x (x + 5)² X

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Q: Find the antiderivative of f(x)=2 that passes through the point (0,3). O F(x)= tan ¹+1 O F(x) = 2…

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Q: Calculate the centroid coordinates of quarter circle (x² + y² = a*) in the quadrant, use Cartesian…

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Q: has

A: We have to choose the correct option from the given options according to the given information

Q: The dot product of vectors p = (3, -5) and q = (15,9) is A/

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Q: 16. dx x√√16+x²

A: To find out the integration.

Q: 149. Determine the real number a such that vectors a = 2i +3j and b=9i+aj are orthogonal.

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Q: writing the given quadratic s^2 +6s + 10 in the form (s+a)^2 + B^2 (that is to complete the square).…

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Q: 3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a)…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Determine the derivative of the function g(x)= 2 / cosx. Do not simplify your answer.

A: Given query is to find the derivative of the expression.

Q: As shown in the required readings or videos solve the Logistic Differential Equation below for an…

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Q: Determine the values of a where the function f (x) is not continuous. Label each discontinuity as…

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Q: The task is to set up an iterated triple integral equal to the volume of H using spherical…

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Q: 3

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Q: Let D be the portion of z = 2z + 5y inside z² + y² = 1, oriented up, and let F = (y, z, -z). Compute…

A: We have to compute integral.

Q: Find the derivative of f (y) = 5 sin6 (yª).

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Q: Q2: Evaluate the following integrals? 1) [ cos¹x dx 2x dx 2) S (x-2)² (x+2) 3) S: dx

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Q: Find the absolute maximum and minimum values of the function f(x) = cos²x-3sinx on the interval…

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Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

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Q: State the most appropriate technique of integration for this problem, then evaluate the integral

A: Use integration by parts  for solving this integral

Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 40 bushels of fruit. She…

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: topic- quadratic equations

Q: Team Alpha was on their night patrol in Mystical Forest when they suddenly noticed that a flare was…

A: here distance we have to find  a = 9.8 v0 = 5 t = 5sec S=?

Q: cos5 0 sin 20 de

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Q: x6ex7dx

A: Here we have to integrate the given function.

Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

A: The scalar equation of a line is of the form Ax+By+C=0

Q: Determine the constants a and b in the equation of the curve y = ax + b³ + ca+d having a critical…

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Q: The function f(x) = 2x³ - 30x² + 144x + 6 has one local minimum and one local maximum. Use a graph…

A: The given problem is solved below in detail.

Q: An open-box (top open) is made from a rectangular material of dimensions a = 8 inches by b = 6…

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Q: 4. 13x²-1 3 X-X -dx

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Q: Evaluate the definite integral. I's 5 cos(nt/2) dt

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) I sint sin(t)√1 + cos(t)…

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Q: Let Use the limit definition of the derivative to calculate the derivative of f: f'(x) = Use the…

A: Given: f(x)=3x3-6x-4

Q: dt ·S₂ (²+1)' 17.

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Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

A: Here we have to use the concept of derivatives.

Q: Consider the function f(x) = 3 - 3x², 3 - 3x², 4 ≤ x ≤ 1. The absolute maximum value is and this…

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Q: For what values of a and b is the following function continuous at every x? 0 XS-1 f(x)= ax-b - 1<x<…

A: Given that function     f(x) =           0                  x ≤-1 ax-b-1        -1&lt;x&lt;1…

Q: 1. xpzx-91/f

A: As per Bartleby guidelines rule I am answering only first question as second question is not a…

Q: ¹ ln(1 + x) dx X 0

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Q: Suppose that f is a function given by f(x) = -2x + 7. Which is TRUE about the function? O lim/→0…

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Q: Find the maximum and minimum values of the function ㅠ g(0) 60 7 sin(0) on the interval 0, = Minimum…

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Q: Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ − x + y = 0 (b) x…

A: 4x3y2+x4y3-x+y=0Differentiating both sides and isolating y' we…

Q: f(x)=(6x¹-2x+1)

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Q: Which among the sets is open? a. [0,1) b. {0,...,1/n,...,1/3,1/2,1} c. R\[a,b] d. None of the above

A: The objective of the question is choose the correct option that is a open set.

Q: The function y = a. O a=3 O a = -2 ax4 +has a minimum at the point (√(√)). Determine the value of…

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Q: Q1/A) Replace the polar equation by equivalent Cartesian equation r2cose +2sing

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Derive : y = (5x-2) (2x + 3) - 1

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (x - 8)dx x (x + 5)² X

A: I am going to solve the problem by using some simple calculus to get the required result of the…