Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

Q: The definition of the error function also defines an "error term" E(1, y). Find E(x, y) for the func...

A: We need to find error function.

Q: 2. The voltage coming from the electricity distribution company is fluc- tuating according to the fu...

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Q: In Problems 31 – 36 solve the given differential equation by finding, as in Example 4, an appropriat...

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Q: Find the integral and show the complete solution using u-substitution

A: The given integral is: I=∫sin3(2x) cos(2x) dx

Q: Find a second-degree polynomial P such that P(1) = 1, P'(1) = 2, and P''(1) = 4.

A: To be found-   A second-degree polynomial P such that P(1) = 1 P'(1) = 2 and P''(1) = 4.

Q: oulli’s equation, x' = a(t)x + f (t)x^n, n /= 0, 1, was proposed for solution by James Bernoulli in ...

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

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Q: Find the domain of the function f(x) = V-a? 3x + 4

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Q: dx of SC 1+ cos X

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Q: 1.) f(x) = (2x + 1)(3x – 2)

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

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Q: 15x 5. Find lim using special limits. X→0 sin 3x

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Q: 1. After getting a job, Jonas started saving a percentage of his annual P(t) = 2.5 cos(0.157t) + 5.2...

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Q: Let f(x) = |x|. Find the equation of the function g whose graph is the following transformation of t...

A: Here we have to use the parent function to plot the required function graph.  

Q: a. Where do they intersect? b. Recall, to find the area of this region we are splicing this up into ...

A: Follow the procedure given below.

Q: 1. Sketch the region bounded by the graphs of the following equations. y = -x2 + 3x +1 and y = -x+1 ...

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Q: The domain and range of the following function f (x) =D (-00, -1] U (1,+ 00) O (-00, -1) U (1,+ o0) ...

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Q: Let R be the region in the first quadrant bounded by the graphs of y = V9x and y = Let V be the volu...

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Q: Find a suitable integrating factor u(x) or y) and show that the following differential equation is e...

A: The given differential equation is: x2-xy+x3sin x dx+x3y+x2 dy=0 ;       yπ=1

Q: ) Evaluete tue limeit: lim (e*+3x) using L'Hopital's Peele if hecessany. af

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Q: x2n+1 Using sin x = En=o(-1)". find the Taylor series for cos x about t/2 (2n+1)!

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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: 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: The power series representation for cosh x is cosh x = x2n Use this to find a power (2n)!" Zn=0 seri...

A: The given series is: cosh(x)=∑n=0∞ x2n(2n)!

Q: Find the equations of the tangent lines to the graph of the equation below that are parallel to the ...

A: Given functionf(x)=x+1x-1Line parallel  to tangent of f(x) is 2y+x=6Here slope of the line 2y+x=6 is...

Q: For the functions f(x) = /4x – 1 and g(x) = 2x - 5, find (g o f)(1.2). (g o f)(1.2) =D (Round answer...

A: The functions are given by fx = 4x-1 gx = 2x2-5 To evaluate: The value of g∘f1.2

Q: Suppose 7x + 2 f(x) ? + х — 2 Then A f(æ) : В х — 1 x + 2 where A = and B =

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Q: Construct the following table of values f(x) = 2". g(x) = 2" -1 and h(x) = 2" – 1 b. Complete the ta...

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Q: 1.0 1,0 -1 -1

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Q: 1. The shadow cast by a post measures 6 feet. If the distance from the tip of the shadow to the topm...

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Q: Given the equation (cos x + 2 sin x)2 S Cos x If you integrate the given equation, the answer is

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Q: Find the exact solution y to the initial-value problem dy =ry'/2, dr y(1) = 4.

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Q: State the value of each of the quantites below. A) limx---> -4^-   F(x)= B) limx---> -4   F(x)= C...

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Q: Find the volume of the parallelepiped (box) determined by u, v, and w. u V w 7i 7j 7k The volume of ...

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Q: 10. Discuss the Bisection method to find the real root of an equatio f(x) = 0. Using this method fin...

A: Bisection Method: Consider a function:  f(x)=0Now we consider two numbers a and b such that a<b a...

Q: E Google X Watch K X M Inbox (1 X eduroan X /canvas.ucsc.edu/courses/49369/quizzes/67188/take Questi...

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Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter y...

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Q: 2.) f(x) = (x5 – 2x³ + 1) 3

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Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -5 -10 -15- 1. lim_ f(x) 2. l...

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Q: Evaluate the following limits.

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Q: Please check the convergence of the integral. 2 1 dx 2x- x²

A: To check the convergence of the integral.

Q: Q2\3-Functions f and g are defined by f(x) = 1/x + 3x and %3D * .g(x) = -1/x + 6x - 4 find (f + g)(x...

A: According to our guidelines, only one question can be answered at a time, So I am answering only the...

Q: dw 5. Ve200 -1 sece"

A: We have solve to evaluate the integral

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

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Q: Find the determinant of the triangular matrix. -2 0 8 7 -7 6 -4 Use expansion by cofactors to find t...

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Q: evaluate the definite integral of " sqrt{x}ln{x} " for the domain [1, 2

A: Given: - The definite integral is, ∫x.lnxdx for the domain1,2 To evaluate: - The solution of the giv...

Q: certain drug is eliminated from the bloodstream exponentially with a half-life of 36 hours. onsider ...

A: We can use exponential decay function to solve the problem

Q: 3. sin²0 – cos²0 = 2 sin 0 – 1

A: sin2θ-cos2θ=2sin2θ-1

Q: 2² +3 I 1

A: If left hand limit and right hand limit and function value are equal at any point then continuous