Given the differential equation, d'y dy = e" sin() cos (), the proposed particular da? dx solution is y, = e" (A sin(x) + B cos(x)), what is B? O 3 20 o 1 20 20 3 20

Q: Find the first and second derivatives of the functions in Exercises ( E q² +3 12q

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule: fg'=f'·...

Q: Evaluate the partial sum SN of the first N terms of the following series, and hence determine whethe...

A: We have to find SN and determine the series. 

Q: The position of a car is given by the values in the table. t (seconds) 0 1 3 4 5 s (feet) 0 10 32 70...

A: NOTE: Refresh your page if you can't see any equations. . from the table, we can write t 1 2 3 4 ...

Q: Define a sequence {an} as follows: Let a, = 1, and define (an)² + (2n + 3)a,n + (4n + 3) An+1 аn + 2...

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Q: Find the equation for the plane through the points Po(-2, - 4,2), Qo(5,5,4), and Ro(5,2,3). Using a ...

A: Basic algebraic equations are to be solved

Q: Evaluate f (t) given t = 0 for s-1 F (s) = (s+3)(s-5) 1 e e3 0 1 3. 15 4 3

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Q: )1–2و( 24s (s²+1)* If the Laplace Transform of F (t) t³ sin(t) is f (s) = what is the Laplace Transf...

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Q: Let F(x) = 2x^3 - 5x + 1 Explain, by using the Intermediate Value Theorem, why this function has ( a...

A: A polynomial function is everywhere continuous. A point x= a is said to be a x- intercept of a funct...

Q: 2. Find the general solution of the first-order equation dy _ y² – 2ry dr

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Q: How do I solve this non-exact DE (4x+3y-7) dx+ (4x + 3y+1) dy=0?

A: Consider the substitution, z = 4x + 3y

Q: 1.) f(x) = (2x + 1)(3x – 2)

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Q: 2.4 2.5 2.6 2.7 2.8 1248 1571 1977 2489 3132 Estimate h' (2.6) using the table above. h'(2.6)

A: First order central difference algorithm approximate the First order derivative using formula       ...

Q: If f(x)=3x^2−x+3​:   A. An estimate of f′(5) using the interval from 5 to 5.1 is___.   B. An estimat...

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Q: Find the volume of the solid formed by rotating the region bounded by the curve y = v3 and the line ...

A: Follow the procedure given below.

Q: tane cote +- = sin0 + cose %3D 9. Sece csce

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Q: 1 2 +1 +1

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Q: Find L{(1- t) (3 + 2 sin 5t)}. 2s 10s - s2+25 (s2–25)? 3 10 10 $(s2+25) s2 (3²+25) 3. 10 20s s7+25 (...

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Q: Evaluate using Trigonometric Substitution: dx (16+22)? z(z+24) 12+16 + 6 tan-14 + C O None of the ch...

A: We have to find Given Integral.

Q: use the limit defiriitioN ofthe derivative to find the slope of the tang ent line to it the curve fo...

A: The given function is fx=2x2The point is x=2

Q: 9. Tan -30 degrees 11. tan -960 degrees 13. cot -630 degrees 15. tan 90 degrees

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Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: Tasks: 1. Think of more examples of inverse trigonometric expressions. 2. Evaluate cach inverse trig...

A: To consider the inverse trigonometric expression and evaluate it: 

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t ye...

A: Given query is to find the value of exports at indicated times.

Q: siny+ tan y = siny %3D 12. 1+ secy

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Q: 4. Draw the graph corresponding to the following adjacency matrix: O 2 1 0] 2 0 1 2 A = 1 1 1 1 0 2 ...

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Q: Problem 2: French's Electronics is selling laptop computers. It determines that its total profit, in...

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Q: 1.0 1,0 -1 -1

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Q: Please determines whether the integral given here is a malformed integral or not. Why? (x-1, x2-3 ( ...

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Q: evaluate the integral of " [(x^2)+1] / [(3x+1)^0.5] "

A: The given integral,        ∫x2+13x+1dx

Q: shopper covered a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on ...

A: Distance of 5 yards is covered in 9 equal hops.How much distance is travelled in 1 hop.To find the n...

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: Given that the differential equation is     x(dy/dx) + y = 1/y2

Q: find the derivative of f(x) = x2 – 3x + 4, and then 3) evaluate f '(2)

A: Given : f(x) = x² - 3x + 4

Q: Given f(x)=3x+8, evaluate f(x^2)

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Q: In the study of population dynamics one of the most famous models for a growing but bounded populati...

A: We need to find P(t).

Q: Find tue folloesing indefinie integral. 18 4 ). 3 3 doc

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Q: [6] Find the solution of the first order ordinary differential equation (1– 3y2) dy – x sinx dx=0, y...

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Q: 2. -6+ What is the domain of this function? (assume there are arrows at the ends of the graph) The a...

A: Topic:- calculus

Q: )) find the volume of the solid obtained by rotating about the X-axis the region bounded by the curv...

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Q: 00 Which function has Maclaurin series(-1)"2" x" n=0 O f(x) = e-2x O s(x) = 1+2x O sx) = e* O f(x) =...

A: We have to find function

Q: 9.) f(x) = (2x + 1)* %3D

A: The given function is: f(x)=(2x+1)4

Q: Q31 Find (fog), (gof), (fof) and (gog) and the corresponding *:domains of the following functions 1....

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Q: Find the approximations T, M and S, for n = 6 and 12. Then compute the corresponding errors ET, EM, ...

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Q: 1 Evaluate - dx (r+2)Vx2+4x

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Q: What is the smallest number of terms of the series > (-1)"*! 1 that would have to be added in n 6" o...

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Q: 2.12.8: Explicit formulas for compositions of functions. The domain and target set of functions f, g...

A: NOTE: Refresh your page if you can't see any equations. .

Q: { 3s-6 F (t) = L-1 fınd F (- s2 –4s+20 3e3m -3e?m -3e3n

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Q: If y " +2y + 2y = 3t2. y (0) = 0, y (0) = 2, what is the Laplace transform of y? 2s 6 s2 +2s+2 33 (s...

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Q: Given the following graph, what is the corresponding function (t > 0)?

A: From the given graph ,what is corresponding function 

Q: The definition of the error function also defines an "error term" E(z, y). 15 Find E(x, y) for the f...

A: Given:    x^3 + y^3 = 15/56 xyz     Point : (8,7,57)