Find the absolute maximum and absolute minimum for the given function on the ir f(x) = x3 + 3x² – 9x – 4 on [-2, 2]

Q: Σ nº +1 n=1 aluate the following integral. (If th dx x9 +

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Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

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Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y –…

A: Option A

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Here we have to find the surface area of a plane.

Q: Change from cylindrical coordinates to rectangular coordinates 0 =- 3 O None of the others O y = -3…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate 3 x2 - 2y ds where C is the line segment from (3,6)to(1,-1)is C Non of the above -58.240…

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Q: In Vix dx sce x dumx dX Serx tam

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Q: Change from spherical coordinates to rectangular coordinates $ = 6. O z2= 3(x² + y²) O z2= 3(x²…

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Q: For the differential equation (x² – 3)y" + (x+ V3)y' + y = 0, singular point is a regular X=9 x=3…

A: Given

Q: S0, f(t) = le-kt, 0 <t < 5 5 < t. %3D A) Use the definition to find F(s) = L{f(t)}, where k is a…

A: use the laplace transform formula then easily solve integration

Q: (a) Evaluate the triple integral dV, where E= {(x,y,z):0<x< 3, 0<y< 3, 0<z3 2). %3D (b) Evaluate the…

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Q: *Use the following information to answer the next ques Consider the following functions y = x'+ • y…

A: We have to find the functions that meet the definition of exponent unction.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: Q2. An object is kept at a distance of 20 cm from a concave mirror. A real mage is formed at 20 cm…

A: Topic:- algebra

Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: Integration of (sin(x) + cos(x)) e^x is ______________.

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Q: cos(xy) + secy = 5

A: To solve the second derivative y'' of the following function and to simplify the final…

Q: In how many ways can Joe, Mary, Steve, Tina and Brenda be seated around a round table? 24 12 20

A: We have to tell number of ways can Joe, Mary, Steve, Tina and Brenda be seated around a round table…

Q: Determine whether F(x, y) = 3xi + 7yj is a conservative vector field. find a potential function for…

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Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: We have to find the point where the angle is greatest

Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: The equation o=- in spherical coordinates represents sphere. Select one: True O False

A: Here, the given equation is: φ=π5

Q: Using appropriate substitution, [sec (2x) + 1] tan(2x) dx is equal to

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Q: What is the solution of D.E y" – 3y' = -2cos(2x) when solved using the method of undetermined…

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Q: Differentiate y = sin¬' (sec(4x²)) A. 8x tan(4x²) sec(4x²) y' V1 - sec2 4x² В. 8x tan(4x²) sec(4x²)…

A: Given query is to find the derivative of the expression.

Q: Activity 1. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A: We need to find second derivative.

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: Decide whether the given relation defines a function, and give the domain and range. Year (x) 2005…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: x²dy + (y? txy) dx 3-

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Q: To prove that 2 dx 2 In V1 + (In x)² + In x| + C X/1+ (In x)² we use the substitutions

A: Find your answer below

Q: Given the following differential equation (E): y" + 2y' + 5y = 0. The solution of (E) is: None of…

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Q: Find the first five terms of the Taylor series for the function f(x) = lnx) about the point a = 2.…

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Q: Evaluate the definite integral 9 6x² + 6 dx 35 X o 588.65298705274 3

A: We know, ∫xndx=xn+1n+1+C, C is a constant for any real number n.

Q: Assume x and y are functions of t. Evaluate dx = 9, x = 3, y = 0. for 4xe = 12 - In 729 + 6ln x,…

A: Given query is to find indicated derivative.

Q: Determine whether the series is absolutely converger convergent or divergent. Please provide…

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Q: L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

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Q: 7. Lonsider the plane through the three polnts Po(1, 0, 0), Pi(1, 1, 0), P2(0, 1, 1). 7.1. Find an…

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Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) =…

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Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

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Q: What is the solution of D.E y"- 2y' = e*sinx when solved using the method of undetermined…

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Q: The integral 4x dx Vx2 – 4 1 is an improper integral of typel is an improper integral of type II…

A: The given problem is solved below in detail.

Q: Solving by variation of parametery"-4y' + 4y = xe2x, the value of Wronskian W is: xe^4x O None of…

A: We can solve this as follows:

Q: To prove that 2 dx 1+ (In x)2 + In x+c = 2 In %3D X1 + (In x)2 we use the substitutions U = Inx then…

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Q: Part 3: Integrate the following Show your complete solution. 1.) f (x + 5x -x)dx 3.) S 12x(7+ 6x*)dx…

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Q: The general solution of the fourth-order differential equation y() + y" + y" =0 is: %3D y=c_1 +c_2…

A: The general solution of the fourth-order differential equation.

Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis.

A: Given xy=6        x=2 to x=4To find volume:

Q: 2. Find the volume of tetraherdon with the vertices A(-1, 2,0), B(0,3,-1), C(3,3,0), and D(1,1,-1).…

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