Evaluate O O O O K|4 2 6 wo|= • S² +2²+1 dt. - 3

Q: The definite integral that will give the area of the region S using HORIZONTAL strips is +9 Solve -…

A: The simple integration using diagram... Find out area

Q: 7. y = (x+1)* 9. y = Inlog, x

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Q: Determine the interval(s) on which the given function is increasing. 6 3 2 1 -5 4 -3 -2 0 4 0…

A: Use graph

Q: -7-6-5-4-3-2- 6 5 4 3 -2 -5. -6. H 1 2 3 4 5 6 7

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Q: A population of 470 bacteria is introduced into a culture and grows in number according to the…

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Q: Find an explicit solution of the given initial-value problem. dy_y²_ 1 = y(4) = 4 dx 1 ||

A: The objective of the question is determine solve the differential equation.

Q: Let F(x) = f(x¹) and G(x) = (f(x))4. You also know that a³ = 9, f(a) = 2, f'(a) = 15, f'(aª) = 6.…

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Q: Let 1 9 ift < 5 B(t) = 5 √t+c ift ≥ 5. Find the value of c so that lim_ B(t) exists. t-5 -

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

Q: Given the graph of a radical function, which statement is correct? 4 3 2 1 4 -3 -2 -10 6 7 -2 -4 OR:…

A: Use graph

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

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Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 21 -1 3 12₁ +1 2 120…

A: Given  A= 012-123204 We need to find the inverse of Matrix A using Gauss-Jordan eliminations.

Q: Find dz/dt where z = 2xy - x² y² and x = 2t, y = t² at t=1

A: I have solved the problem with two methods.Final solution is in the box.

Q: Given the following piecewise function, evaluate lim f(x). x→2 -x² - 2x - 2x² - 1 f(x) = -2x² - 3x +…

A: Explanation of the answer is as follows

Q: Solve the given equation for x. (2x + 1)² = (3x - 1)² X = (Simplify your answer. Use a comma to…

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Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: sin (a) ə…

A: The simple matrix

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. - 1)k+19 k!…

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Q: Consider the following differential equation. (x + 1) + (x + 2)y = 4xe-x dx Find the coefficient…

A: Transient term in a general solution of a differential equation are those terms that tends to 0 as x…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) -1 lim (-6 +h)-¹ + 6-1…

A: L'Hospital rule:- If limx→0f(x)g(x) is of the form 00 then limx→0f(x)g(x)=limx→0f'(x)g'(x)Continue…

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: 1.tr Y= 4 In ( In (In(sec(x)) then Y 14 (lan)! In ((In (sec)) In (sex);| O True O False

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y = sin tu(t - 2π), y(0) =…

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Q: If an object is moving along a horizontal line, such that it's velocity, v(t) = = 3¹, what is the…

A: Given :Velocity , V(t)=3t

Q: (1+x)n

A: We can solve this as follows:

Q: . Calculate the volumes of the solids of revolution as indicated below. Calculate the volume both…

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Q: 3.. cos(x) is not an odd function O True O False

A: Given query is to find statement is true or false.

Q: Evaluate the function f(x)= -2x+8 at the indicated values. a) Find f(3). b) Find f(-2).

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Q: 2. Which does not exist for a line in three-space? a) vector b) parametric c) symmetric d) scalar

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Q: Solve the following definite integral problems 1. Determine the area below f(x) = 8x - 2x² and above…

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Q: (3 - x) dx is equal to ° S (3 − x) dx + ["' (3 + x) dx °₁ (3 - x) dx ° L₁ (3+2)dz + f (3-2) x) dx x)…

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

Q: For the linear function y = f(x) = - 4x - 4:

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Q: Solve the given differential equation. All solutions should be found. dy x8 - 6y dx X NOTE: Use c…

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Q: x-2 3. lim x-2x²-4

A: Here we have to find the limit of the function.

Q: Solve the given differential equation by finding, in-imanapi 12xy dx + (4y + 18x²) dy = 0 Sectioner,…

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Q: x²-3x - 10 f(x) = x+6 [-2,5] Yes, Rolle's Theorem can be applied. No, because f is not continuous on…

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Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on…

A: Suppose the point nearest to origin with the condition that it is not the ellipse that is obtained…

Q: *************** ********* Identify the open intervals on which the function is increasing or…

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Q: A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

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Q: Q4/ A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

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Q: 10. What is the constant multiplier to complete the integrand in terms of u for dx? x +3 A) B) C) 4…

A: 10. The given integrand ∫x3x4+3dx11. The following integral is equal to 54.

Q: 2 Σ(-1)+1n? + 5 m2 + 4 n=1

A:

Q: 19. Find the solution of the given initial value problem. y’’-2y’+5y=0,     y(π/2)=0, y’(π/2)=2…

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Q: 2x²+x 2. lim x-0 5x

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Q: x²-3x-10 x 5 x²-8x+15 9. lim

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Q: 5. lim X→ 3 3x-1 9x²-1

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: R. H. side is 3 2 [ f z=1 y=1 -2(x+1)y dy dz

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Q: e. Angle between a and c

A: Here we have to find the angle between two vectors.

Q: Q3/ Evaluate: ff(x+y) dy dx for the region bounded by the x=0, x=2, y = x and y = x + 2

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Q: A table of values for f, g, f', and g' is given below. x|f(x) 1 3 2 2 3 2 (A) If h(x) = f(g(x)),…

A: Let's find value from given table.