S Le+6)dx (x+2)*

Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

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Q: 52° 14

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Q: Find the general antiderivative F(x) + C for the function. 126+ 3x+ f(x) = x3 O 3x4 +x2 + C 3x* +x +…

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Q: (1+2lnx) dx

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Q: Use the Definition of a Definite Integral or Theorem 4 from Section 5.2 to find the exact value of…

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Q: (b) x" – x' – 2x = 0; x(0) = 0, x'(0) = 2

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Q: From Rogawski ET 2e section 10.2, exercise 34. Use the formula for the sum of a geometric series to…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim t→+∞\ 7t2 +8'8t (?, ?)

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Q: Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the…

A: f(x)=1-4x2f(5)=1-4(25) =-99f(-4)=1-4(16)=-63The average or mean…

Q: Use the derivative to find the exact critical points and intervals of increase and decrease for f(x)…

A: 1. Local maximums and local minimum values2. fx=4x3-21x2-24x+5

Q: Use the information about values of the functions and their derivatives to calculate H'(5), where…

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Q: Test the series below for convergence using the Ratio Test. n + 4 53п + 4 n=1 The limit of the ratio…

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Q: If the equation of motion of a particle is given by s = A cos(@t + 6), the particle is said to…

A: See below the answer and explanation

Q: Show Complete Solution. A particle moves according to the function f(t) = t³- 9t2 + 15t,t20, where t…

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Q: 5-e* 2x

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Q: d y' (-9 csc 3x cot 3x – 9 csc 3x) dx

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Q: Which of the following answer choices correctly graphs the equation below? y=sin(x+ π/3) −1

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Q: Test the series for convergence or divergence. Eh=1 n35n (n+ 2)!

A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

Q: Find the derivative f (x) = e3x+ x (csc x + sec x)² %3D

A: Using product rule of Differentiation we find the derivative of given function.

Q: Two motor vehicles, BMW and Ducati, are driving at SLEX southbound lane. At 9:00:00 am they are 100…

A: (1) speed ofducati and BMW at 9:00 =100 KMPH…

Q: 0.5 -5 -4 -2 1 -0.5 -1 -1.5 -2 Find the following limits, if they exist. 9. lim f(x) x-2- 10. lim…

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Q: Find the inverse Laplace transforms of the functions: 3 (a) F(s) s4 1 (b) F(s) (c) F(s) = s+5 3s+1…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Consider the sum In(2.25) · 0.25 + In(2.5) · 0.25 + In(2.75) · 0.25 + In(3) · 0.25 + In(3.25) · 0.25…

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Q: Find the critical points of the function 11/4 16 3/4 f() = 33 Use a comma to separate multiple…

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Q: 2. Suppose that you are told the matrix a b с-26 A = с 2b — а -a – 2b + 2c b a+2b 36 has an…

A: The given matrix,   A=abc-2b3bc2b-a-a-2b+2cba+2b

Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: (b) Estimate the critical point(s) of f. (e) Estimate the local extreme value(s) of f. (d) Estimate…

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Q: Sketch the graph of the given polar equations. 57 17. 0 = 6.

A: We have given a polar equation,                    (θ)= 5π/6 Now, we have to draw it's graph.

Q: Determine the number at which h(x) = V16 – x² is continuous. - Determine the largest interval on…

A: h(x) = 16-x2 here in root <0 is not  possible so 16 - x2> 0 x < 4 for this value function…

Q: Use an improper double integral to find the volume of the indicated solid. 2--(* + y)/9 Osy<co 8 6 4…

A: We need to find the volume of the given shape.

Q: cos (4x)dx

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Q: TT sec (2x) tan(2x) dx T/3 8T

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Q: 28 74.6°

A: Given query is to find the vector components.

Q: 5n+5 Determine whether the series Ln=1 n+1 is convergente or divergente.

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Q: Use the shell method to set up and evaluate an integral that gives the volume of the solid generated…

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Q: How many man hours are required to load a freight car with 40 tons of product packaged in 100-lbs…

A: Total load=40 tons 1 ton in US=2,000lbs 40 tons=80,000lbs

Q: 1. sin?(ešin*t) + cos¯'(2t³ – 5)

A: Solution: ddxsin2(esin2t)+cos-1(2t3-5)

Q: Compute the derivative, and simplify your answer. You must show your work. t3/2 +t1/2 dt d dx

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Q: flt) z (34 -1)° (t²+ 2+ + 4 )

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Q: show

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Q: a. Determine "(®) if fx) = (8x² + x)³. Write your answer in simplified form. %3D b. Determine

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Q: Find the average value of the function over the given interval. You must show your wo x2 - x +1 f(x)…

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Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE:…

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Q: 5x? V1 – x³ dx 3. ith the use of the substitution, u = 1 – r³.

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

Q: Evaluate the integral. In(x) dx, y > 0

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Q: Evaluate

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Q: a) Find the fifth term of the sequence 16 31 46 61 9' 15' 21' 27 b) Find the general term of the…

A: a)169,3115,4621,6127,....b)1010,1815,2620,3425,....

Q: 4. Evaluate: lim (x,y)→(3,2) x cOS TY

A: To evaluate the limit of the given function, substitute x=3 and y=2  in the given function.

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z?; P(2,5, 2); a…

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