B.

Q: 2. Solve the equation dy + 4y = 2 sin 2t dt2 subject to initial conditions y(0) = 0, (dy/dt)(0) = 1....

A:

Q: SBx2-3 (Bx +2 (b) Suppose that f(x) = if XS 2 %3D if Find the value of B so that f(x) is continuous ...

A: Since you have asked multiple questions in a single request, we will be answering only the 1st quest...

Q: Suppose the number N of loons on a lake after x hours is modeled by N = f(x)3D V2x + 1. a) State the...

A: Number of loons, N on a lake after x hours is modeled by,

Q: x +2x+1 -2(x+1) 2(2x+3) Consider the function f(x) = x? Note: f'(x) = and f"(x)= x* Discuss the foll...

A: Since you have posted a question with multiple sub parts. We will solve the first three sub parts fo...

Q: The cost of producing 5-galln water bottles is given by c(q)=0.005q2 +2q+1000 If 2000 5-gallon water...

A:

Q: Can you please help me out

A: For the right endpoint approximation, we have to consider the points on the right of each interval. ...

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A:

Q: Can you please help me out

A:

Q: Can you please help me out

A: Please see the picture below: At x = 2, the function lacks continuity, hence it's also not differen...

Q: convert to rectangular

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Q: Section 11.6: Calculus of Vector-Valued Functions - #49

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Q: dy 17. Find the general solution to the differential equation 3x - 2 dr

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Q: Find: Lim  x→0x1/2 + 9x1/5 / 6x1/2 − 4x1/4

A:

Q: Can you please help me out

A: To find second derivative of sec(x).  

Q: Brand Z's annual sales are affected by the sales of related products X and Y as follows: Each $1 mil...

A:

Q: Find the t-value(s) where the tangent is vertical or horizontal. 3t2 - 2t, 2t3 3t2 3 2 y = t3. Horiz...

A: To Determine: Find the t-values where tangent is vertical or horizontal.                           ...

Q: Evaluate the following integrals. When using substitutions, be show to show them explicitly. a) + 5 ...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, x2 Pa(x) = %3!

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Q: in²3xdc O 3x-sin3xcos 3x +C O 3x+sn3xcos 3x +C Bx-sn3xcos 3x 3x-sn 3rcos3x +C 3x+sn3xcs Bx +C

A:

Q: Area of region under each graph? Integrals

A: Please see the diagram below for an understanding of the area that we have to calculate:

Q: Given log3(x2-1)=1+log3(x+3), find log4(x-3). -1 -1/2 1/2 3/2

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Q: Find 4x° cos(2r) dr. 1 (- sin(32) + sin(2)) 0. (sin(2)- sin(1)) 1 6(-sin(2) + sin(1)) None of the li...

A:  

Q: can  you  answer part  B  and D ?

A: b) Solve the inequality using algebra:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A: Antiderivative also known as the integration is the reverse process of differentiation.  Integration...

Q: Which of the following would match the parametric equations? x=3t^2 y=2+5t

A: Explanation: Given that,                                To graph the parametric equation, we will m...

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Q: If we are given that f"(x) = a-2, x > 0, f(1) = 0, and f(5) = 0, then what is f(x)? In 5 In 5 f(x) =...

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Q: Basic Skills 7-14. Derivatives of vector-valued functions Differentiate the follow- ing functions.

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Q: Find the indefinite integral. [ cos 3xar sin33- sin 3r +C 6. O sna(3- sn'ax) sin3 3-sn 3 +C sn3x 3+s...

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Q: Use the graph of the given function f to determine the limit at the indicated value of a, if it exis...

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Q: What is the derivative of the attached function for x= -8   -1 -1/2 1 2

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Q: Evaluate the following definite or indefinite integrals (you MUST show all integration steps!): (*(-...

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Q: 5. The total cost of production, in thousands of dollars, is C(q) = q³ – 6q? + 15q, where q is the d...

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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Q: Use series to approximate the definite integral I to within the indicated accuracy. 0.5 xPex? dx (le...

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Q: Find the derivative of g(x) = |. •r In z Vt2 +t+1 dt

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Q: Question 1 (a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q? + 2q + 1000. ...

A:

Q: #26

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Q: Suppose that f(x) = βx2-3     if x≤2                                   βx+2       if x > 2       ...

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Q: Find the critical numbers for f(æ) 2a-tan(a) on [0, 2m) None of the listed answers. Зт x = 0, T 57 7...

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A: Let the clothing manufacturer makes x trousers, y skirts and z blouses. Balancing the cutting time: ...

Q: 180/take Find the indefinite integral. e' sintat sint+6cosđ TI37 e' +C -6sn&+cos&t +C 37 O(6sn&+cos&...

A: Consider the indefinite integral

Q: Use the table of values to find the lower and upper estimates of 0/16 f(x)dx Assume that the functio...

A: We will use the Riemann Sum to evaluate.

Q: how do you solve for the critical points of the first derivative of this function? x/4+x^2

A: Differentiating with respect to x, we get

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A:

Q: Using algebra, find the solution to the system of inequalities belowy ≤ 5 − 3xy + 19 ≥ x^2 − 8x

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Q: At what numbers, A and B, is the following function differentiable? if a <1 Ar-Br+5 if x21 Ar+B A=1,...

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Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide i...

A: The rectangular field would look like below.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.