Vx+3 4. f(x) = **3 f'(1) x-4

Q: A. Evaluate the following integrals by substitution. 1. Sx(2x? + 3)®dx

A: Put (2x2+3)= t  Differentiating both sides  4x dx= dt    

Q: (2x+5)² What should be the rewrite of the integrand of S x² dx so that the resulting integral is int...

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Q: y dx *1+x²y², 2у 1 + x?y?/ |dy 2х +

A: The detailed solution is given below Thank you 

Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

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Q: P(z) how might the function 9(x) Question 3: When working with rational functions of the form f (x) ...

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Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2 S...

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Q: Given: G(x) = [x] + [4 – x]. Determine lim G(x). x-3

A: We will find the limit of the given function.Below find the solution in the image.

Q: cos(2x)81-x (x*+1) Given f (x) = Use logarithmic differentiation to find the derivative of the funct...

A: According to question,Given function,fx = cos2x81-x4x2 + 1

Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: * Limits of Polynomial, Rational, & Radical Functions Evaluate the given limits. 1. lim Vx+ 16 X-7

A: Here we have to evaluate the given limit.

Q: What is the value of a so that In (e* ) dx = 6 ? a A.) O В.) 1 С.) 2 D.) 3

A: Given: ∫a4ln(ex)dx=6    

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: I. Determine the Fourier series of the following J sin(t) (0 <t<T) (7<I<2x) f(t) = a. Half-wave reci...

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Q: 4. Find the value of k so that the value of f,"(2y – 1) dy is 10. а. 1 b. 2 с. 3 d. 4

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Q: A town has the population 9000 people at year t=0. write a formula a. The population shrinks by ...

A: A town has the population 9000 people at year t=0. write a formula  let a=9000, t=0, Let t1 is the p...

Q: graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4? 4+ 3+ た...

A: A function is continuous if left hand side limit and right hand side limit of function at a point ar...

Q: A tree on a hillside casts a shadow c = 230 ft down the hill. If the angle of inclination of the hil...

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Q: x² – 1 if x 5 | Given: f(x) = %3D 3

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

A: A particle has acceleration s''(t)=5t+3Initial velocity is s'(0)=-4 cmsecinitial displacement is s(0...

Q: The equation f(x) = e^x – 3x^2 has roots in [3, 5]. Using 5 iterations, find this root using the Bis...

A: fx=ex-3x2a1, b1=3,5------------------------------Percentage true error : True value-Estimated valueT...

Q: Solve the differential equation y' = e4Y sin(5x) and choose the correct answer from the following op...

A: Given:- y'=e4y sin(5x)  To find:- General solution of given differential equation

Q: Find f'(t) for the function f(t) = est +sin(t) 2t Do not simplify the expression you get. 2t(3et +co...

A: To find f't of the given function.ft=e3t+sint2t

Q: 11. Find the total area between the parabola y = x² – 4x, the x-axis, and the ordinates x = -2 & x =...

A: Here we have to find the total area between the parabola y=x2-4x, the x-axis and the ordinate x=-2 a...

Q: pany manufacturing calculators, the cost, revenue, and profit equations are given by C = 90,000 + 30...

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Q: Find the domain of the function. (Enter your answer using interval notation.) 3x3 - 2 f(x) = x2 + 3x...

A: Let's find. 

Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocityis...

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Q: Differentiate the following functions using the limit method: 1) y = 7x - 3x" +x– 10 2) y = ;r - 8x ...

A: We will use limit definition to find derivatives of given function. Since , we know that f'(x)=limh→...

Q: Find all the values of a such that the given series would converge. (– 1)"9"x" Σ n=1 (Vn+ 5) The ser...

A: Here we have to find the values of x such that the given series would converge.

Q: In Problems 59-66, use the price-demand equation to find the values of p for which demand is elastic...

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Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

Q: Given a function f (x) whose graph is shown below. 3 2 h -3 2 -11 2 3 -2- Determine lim f (x).

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a func...

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Q: Find or evaluate the integral using an appropriate trigonometric substitution. +3 x2 dx 4 + C

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Q: To evaluate f dx, the integrand can be transformed to 1-sin?x

A: Follow the procedure given below

Q: (2 + 5æ) ei dr 9, 2.

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Q: Given the first-order differential equation as below: (x² +3y +5)dx + (6xy + 6y +3)dy = 0 (ii) Calcu...

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Q: A series RLC circuit is shown in Figure Q4 (b) where R= 4Q, L = 0.5H, C= 0.1F,E(t)=10 V and i(0) = 0...

A: Given: R=4ΩL=0.5 HC=0.1  FE(t)=10 V

Q: F(x, y) = x²yi + 3y³x²j Find the integral curves for the vector field -6y + 1 C 6ху? a. ob. -6ху —1 ...

A: Apply integral form 

Q: B In Problems 17-34, use implicit differentiation to find y' and evaluate y' at the indicated point....

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Q: Evaluate f x+3 x3+27 dx.

A: Our Aim is to evaluate the integral given below:-∫x3+27x+3dx -(i)

Q: 10

A: Evaluate the integral ∫4x4+310dx

Q: Which of the following statement/s is/are true about the function whose graph is shown below? A. lim...

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Q: Find a (real) general solution. y" + 2y' + 2y = 4e¯* sec³x

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Q: the rate of change in thr profit (p) with respect to the number of units sold (x) is 0.0006x^2 +10. ...

A: We can use the given equation to solve for profit

Q: (αv) ^(rv (φλq) ^ Γv )]

A: The given statement      r∨p∧~r∨p∧q∧r∨q

Q: x + 1 dx x,

A:

Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

A: To determine:

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 +3xy ...

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Q: 1 k + 2 k=4

A: