S(x)

Q: f (x) = (1+4x)?

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Q: Suppose f(x) = 2x. Evaluate f (-1.999) %3D а. -1 b. -2 с. -1.4 d. -4

A: We are given the function f(x)=2x. Now,             f(-1.999)=2(-1.999)=-3.998. So, the approximate ...

Q: Question Evaluate the indefinite integral given below. 5 tan (2x) In (cos (2æ)) dæ Provide your answ...

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Q: 2) 3. | 24 ly-11 dy

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Q: The difference between the true value of an integral and the value given by the trapezoidal rule or ...

A: Let's find. 

Q: A particle is moving along a horizontal line. The velocity (in cm/s) of the particle after t seconds...

A: Here, the given particle has the velocity  v(t)=tanh t+tanh2t-1, t≥0

Q: Question 373 3x4 + 2 e-2z (7x + 2) Find the derivative of the function y using logarithmic different...

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Q: Some biorlogos model thenumberof S species in afixed area A (e.g. an island) with therelationto thes...

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Q: 3+ cos(log, x) dx 1. x sin (log, x)

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Q: (x+2 g(x) = {a2 – 1 if –1<x<1. if - 2<x< -1 f(x) -x+2 if 1<r<2 Without using your calculator, do the...

A: The given function,g(x)=x+2if  -2≤x&lt;-1x2-1if  -1≤x&lt;1-x+2if   1≤x≤2

Q: You are given two functions, f and g if - 20 2.

A: solution:-according to the given graph of f(x)limx→0+ f(x)=-1limx→0- f(x)=0

Q: 1. L{2t²H(t – 6)}

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Q: fx' = 9x + 7y ly' = 2x + 2y

A: We see that x'y'=9722xy. 9722The eigenvalues of A are the roots of the characteristic equation detA-...

Q: Price-Supply Equation The number a of bicycle. helmets a retail chain is willing to sell per week at...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =...

A: f(x)=2x2 at x=1

Q: sine d. cosetane

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Q: I Braluate th FOllowing integralis 3+cos (logqx) dx x sin (loga x )

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Q: / tan? a dr 3.

A: The value of the given integral is                     - x + tan (x) + C

Q: | (322 +3x + 4) dæ (a) Find the Riemann sum for this integral using right endpoints and n = 3. (b) F...

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Q: Evaluate JJ, xy dA, where D is the region bounded by the curves xy = 2,4y = x² and y = 4. а.

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Q: B. Directions: The length s(0) of the shadow cast by a vertical pole when the angle of the sun with ...

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Q: tan' x sec x dx 3

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Q: 2. lim (5* + x):

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Q: d) | 4f(x)| dæ =

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

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Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = - 1 and x = 8 is pre...

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Q: 3. If your goal is to have $3500 in your account after 10 years, show that there is an interest rate...

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Q: Test the series below for convergence using the Ratio Test. 2n n! n=1 The limit of the ratio test si...

A: According to question,Given series:∑n=1∞ 2nn!

Q: 2. lim (5* +x)×

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Q: Use the FTC I to find the area of the region under the graph of the function f(x) = 2x2 on [0, 6].

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Q: 1. Suppose that for a certain leaf-cutter ant colony, the birth rate is modelled by: at B(t) = 23, 0...

A: Solution...

Q: Let f(x)=2x³ over the interval [1,2] . Find a formula for the Riemann sum obtained by dividing the i...

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Q: 9s + 7 F(s) = 2s2 + 2s + 4

A: Given: F(s)=9s+72s2+2s+4

Q: Find the points on the cone z 22 x2 + y? that are closest to the point (-5,2,0)

A: Find the points on the cone z² = x² + y2 that are closest to the point (-5,2,0).

Q: Consider the curve x = et-5 cos t, y = et-5 sin t, 0 <t < 2n. a) Find the values of t where the line...

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Q: 3 f (z) 6 Let f be a function with selected values given in the table above. Which of the following ...

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Q: Find the absolute minimum value of the function g(x) = e\/(5x), x > 0.

A: To find the absolute minimum value of the function gx=ex5x, x&gt;0.    

Q: 8. Water is leaking out of a fire hydrant. You have the following readings for the first 5 hours: Ti...

A: Given data, Water leakage 1st hour is 50 gal/hour                             2nd hour is 70 gal/hou...

Q: Find the volume of the solid that results when the region enclosed by the curves is revolved about t...

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Q: Written Work Directions: Simplify each expression using the fundamental identities. sin20 a. sec20-1...

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Q: Use n = 4 to approximate the value of the integral by the following methods: 3. 3 dx 9-x 1. (a) Use ...

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Q: Solve for the general solution of the below differential equation. y" + 2y' +y = 0; IC's: y(0) = 3; ...

A: The given differential equation is;. y"+2y'+y=0,y(0)=3,y(1)=7e.

Q: Question -2x – 4 Find the derivative of the function y = 3æ³, 3x3 using logarithmic differentiation....

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Q: 1 2 3 f (z) 15 14 12 Let f be a function with selected values given in the table above. Which of the...

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Q: 25) 42 >- 16 668 670 672 674 676

A: Solution: 42 &gt; x16

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does n...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Find the centroid of the given region. [Give exact answer in fraction form.] y = 2-x y = x The centr...

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Q: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the ...

A: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the ...

Q: Q5/Find the Maclaurin series for the function f(x)= In (1+x), a=4

A: The Maclaurin series: fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+… Given; fx=ln1+x And centered at a=4.

Q: 2. Given vectors A, B, C, and D construct '2C +3(A – B + 2D)

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