Consider the integral | (3x? + 3x + 4) dæ (a) Find the Riemann sum for this integral using right endpoints and n = 3. (b) Find the Riemann sum for this same integral, using left endpoints and n = 3

Q: integrate the following:  Ue the U-substitution. ∫3/(√4x2-12x+9) dx

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Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: Describe the graph of the equation x2 – 5y2 – 4x – 10y – 46 = 0. | Describe the graph of the…

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Q: Find the area bounded by the graphs of f(x)=x+2, g(x)=3x²+5 , x=-1 and x=1.

A: Explanation of the answer is as follows

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

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Q: pon homogencous Lincar ODE y'+3y = 18x² yro)=-3 y'@)=0 And exace sol'n 5.

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.

Q: A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in…

A: P'(x): the rate of change of total profit with respect to the number of tickets sold, x. It is…

Q: 10. Find the first partial derivatives of the following functions (it is not simplify). (a) f(x,y) =…

A: Given query is to find the partial derivative if the expression.

Q: (ese e cot e-s cot e de CSC

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Q: Which of the following is not a possible zero of f (x)=2x-5x+127

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Q: 【コxマー52

A: Given problem:- ∫x2x2-53dx

Q: Question 1 Let f(4) = 7 and f' (x) <4 for all x between 4 and 16. Use the Mean Value Theorem to find…

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Q: Consider the function f(x) = 12x + 75x 120x + 3. f(x) has inflection points at (reading from left to…

A: The given function is: f(x)=12x5+75x4-120x3+3 Now, the derivatives of the functions are:…

Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: 3. Find the radius of convergence and interval of convergence of the series (3x + 2)" (a) n! n=1

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Q: Given the following function. - if x2 x > 2 x-2 5, if x = 0 or x = 2 Can f continuous at (-1, ∞)?…

A: Here, for the given function: limx→0-f(x)=limx→01x1+x-1x  (∞-∞…

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: A curve C is defined by the parametric equations x(t) y(t) = 8t³ – 2t² + 4. Write the equation of…

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Q: x2 4. a) Determine whether Rolle's Theorem can be applied to f(x) [-2,2]. (Enter 1-х2 your answers…

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Q: val [1,5].

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Q: 1. a) Find the point of inflection(s) of f(x) = x³ – 6x2. If an answer does not exist write DNE) b)…

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Q: Г(x3 + 2х — 1) cos 4x dx A .3 13 x (3x² 13 sin 4x + 4 |cos 4x + C + - 4 32 16 128 B (x³ (3x² 13 |cos…

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Q: A company finds that the number of new products it develops per of dollars), according to the…

A: Please refer to the image below

Q: Solve the right triangle. Round your answers to the nearest tenth. A = 0- D. 56 22 A

A: Given, Right triangle  theta=56° adjacent =a opposite =b hypotenuse = 22

Q: | (6x – 3* dx = / (бх f(u) du where u = (enter a function of x) dx (enter a function of x) = np a =…

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Q: For the following.problems, you need to provide a clear and detailed solution. s): Consider the…

A: Explanation of the answer is as follows

Q: A box with a square base and open top must have a volume of 4000 cm. Find the dimensions of the box…

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Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x)- cos (2x) 2. y =…

A: 3. y=tan(3x) cot(3x)4. y=cos x1+sin x6. y=xarcsinx+1-x2

Q: Given f(x, y) = 4x²y then the total differential df %3D O 4xy dx + 4x² dy O 8xy dx + 4x² dy None of…

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Q: x(x* +y° )°(vdx – xdy)+ y°dy = 0 Ans. (x² +y³)' = 6y° In

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Q: 6: evaluate öz/du and öz/ðv at the given point (u, v). z = tan (x/y), x = u cos v, (u, v) = (1.3,…

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Q: Find the Laplace transform of f(t) = u(t – 4) · e' F(s) %3D 8-2

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Q: Problem : Find the derivative of the series 2x 4x2 8x3 16x4 32x5 f(x) =1+ 1! 2! 3! 4! 5! Also show…

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Q: 2x+5 (d)Using the method of Partial fractions find f dx x2-8x+7

A: Let's find.

Q: 8. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: topic - application of derivatives

Q: 2x dx ∞ (x²+5)3 Evaluate the integrals that converge Identify the conic write in standard form and…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.)…

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Q: Solve the right triangle. Round your answers to the nearest tenth. A = b-0 56° 22

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

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: 8n-4 Determine if the sequence An converges or diverges. If the sequence 67 –4 converges, to what…

A: Given : an=8n-46n-4   To check : an converges or diverges

Q: 2. When buying a new car, one consideration is how fast the car loses value, known as the…

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Q: A supermarket manager estimates that a total of 400 cases of soup will be sold at a steady rate…

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Q: Find the area of the region in the first quadrant bounded on the left by the​ y-axis, below by the…

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Q: find the derivative of the following: f(x) = e^x (2x^2-x+3)

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: We will create a Lagrange's function to solve the problem.

Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: sin(x) dx Jo

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Q: 1. The sides of a square decrease in length at rate 2 m/sec. At what rate is the area of the square…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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