d dx [x² tan x]

Q: NT - My M If = Q, where is a function of y only, then the differential equation M + Ny = 0 has an…

A: The given differential equation is;  ydx+(5xy-e-5y)dy=0

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

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Q: 3. Which of the following is equal to fu" du? A) un+1 +C u"+1 B) +C n+1 C)n(u)n+1 +C D) + C 11-1 4.…

A: Topic = Integration 3) B 4) A 5) B

Q: Evaluate f sin √r dr

A: Topic = Integration

Q: ∫x5√1+x6dx

A: Given query is to find the integral.

Q: 5.Express this model of an electric circuit d² y dy +6¹ +5y=sin10t, y(0)= 0, y'(0) = 1 dt² dt As a…

A: First I have introduced two functions and then find pair of first order differential to the given…

Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: The function f(x) = 2x³-36x² + 210x + 11 has one local minimum and one local maximum. Use a graph of…

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Q: The population of a slowly growing bacterial colony after tt hours is given by…

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Q: Which of the following is an antiderivative of f(x)=√x³ + e¯ª? F(x) 3√x 2 e-x 3√x F(x) 2 2√x5 F(x) =…

A: Use integral concept

Q: Consider the following demand function: p = D(x) = 110-2.2x

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Q: Determine the values where the following function is discontinuous x² + x-3 2x +3 f(x) = if x+6…

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Q: If w = cos(xyz), compute for O-x²yz cos(xyz) - x sin(xyz) -x²yz cos(xyz) + x sin(xyz) O x²yz…

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

Q: Find the indefinite integral. S(e¹ i + j + costk) dt O e¹i + tj - sint k O e¹i - sint k O e¹i + tj +…

A:

Q: Consider the following curve. f(x) = (x-2)/(x^2) a. Determine the domain of the curve. (Enter your…

A: given f(x)=(x-2)x2a.Determine the domain of the curve.b.find y'and y''

Q: +7+ 3xf x for x ≥ 1, where x is the number of rackets produced per hour. For a company that…

A:

Q: D D ▷ TEXA fex) (2k- x 1 Fx k evaluate lim Can you choose Parameter k proper value for k x21 x < 1 a…

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Q: Use synthetic division to find the quotient and the remainder. (x5 + x³ -x)+(x-2) Q(x) = R(x) =

A: Here we have to use synthethic devision.

Q: Find curl F if F(x,y,z) = 16y5₂5i - 8x³₂8 j- 7xy4k. O curl F = (-28xy3 +64x³₂7)i + (7y4 + 80y5z4)j +…

A:

Q: Find a polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of…

A: topic- polynomials

Q: Answer 4,5,6

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Q: Consider the following figure where AABC~ ADBE. B D E EB = A Given: Find: C AC = 9, DE = 6, CB = 4…

A: Given query is to find the length of EB.

Q: Exercise 1.8. Prove (1+2+...+n)² = (1+2+...+ (n − 1))² + n³ by mathematical induction, and discuss…

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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: If we let u = cos t, then the integral [(sint). In (cost) dt can be expressed as - [In(u) du 0…

A: An integral is given. We have to write the substitution form of the integration in terms of the…

Q: Below is the velocity function, in feet per second, for a particle moving along a straight line.…

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Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

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Q: (d) Draw a set (partition) model that can be used to find the quotient. 47 8 Find the quotient. (If…

A: To find out the correct option.

Q: 2. A spring has a natural length of 2 ft, and a force of 15 lb is required to hold it compressed at…

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Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ (1-x)³ (1 + x)4…

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Q: Determine if the line intersects the plane. If so, state the solution. [x, y, z][-1, -9,16]++[3, 3,…

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Q: (2xy - 3x²)dx + (x² + y)dy = 0

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Q: f(x) = (x²-4) (x²-1) lect the correct choice below and fill in any answer boxes to complete your…

A: SOLUTION-

Q: Suppose c is a real number, which of the following limits ALWAYS exist?

A:

Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $11 the…

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Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

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Q: (x + siny - cosy + 1) dx + (xsiny + xcosy)dy = 0

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Q: Direction: Prove by mathematical induction that k3²(+1)² for all n E N. Use the definition of the…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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

Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.)…

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Q: 2 Σ(-1)+1n? + 5 m2 + 4 n=1

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Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

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Q: 2) Suppose the vector p is perpendicular to the vector q where p = 3í + 12j+ck q = -8 i + j + 3 k…

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Q: For the function y = f(x) f(x) = 1x³ + 5: df a. Find at x = = 4. dx ƒ'(4) = = 48 b. Find a formula…

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Q: a = [0,-1,7] and b = [2,4,-3].

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Q: 9. Find the scalar equation of the plane that contains these points: A (1, 13, 2), B(-2, -6, 5) and…

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Q: Problem 8. Find critical numbers of (1) f(x) = x³ - 3x² +1₁ (2) f(x)=x³/5(4- x).

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Q: 3. Consider the following differential equation dy 1 y(0)=2, h=0.2 dx x + y Determine the solution…

A: SOLUTION-

Q: find f'(x). 5x(x+2 tan(x)) sec (x) Find f'(3). f(x)= 5x² tan z sec z

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Q: 3. Which of the following illustrates the Fundamental Theorem of Calculus? A) value at lower limit…

A: