S 4 (;- e-) cos (e-z + Inz) dz A 4 sin (e¬z + In z) + C sin (e¬2 + In z) + C B 4 sin ( – e-²) + C sin (; - e-") + C D O E None of the Above

Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: The cost function is given by: C(t)=0.10e0.0576t Where, t represents the number of years since 1960.

Q: the time for the water temperature to reach 70° C E

A: Follow the procedure given below.

Q: Given cost function C(q) = q° - 130q + 2600q, what quantity minimizes average cost?

A: We use differentiation to find the quantity to minimize the cost.

Q: Verify the inverse function theorem of y = Vx + 2

A:

Q: of (x)} = h %3D a Find leughth

A: Length=integration of  square root of 1+(f'(x)) 2

Q: Find the Maclaurin series for the function. f(x) = x³ sin(x) F(x) = E n- 0

A: First I have written the Maclaurin series for sin(x),just use it and easily find the Maclaurin serie...

Q: Water whose temperature is at 100°C is left to cool in a room where the temperature is 60° C. After ...

A: T=60+40ekt Substitute t=3 , T=90  90=60+40e3k90-60=40e3k3040=e3ke3k=343k=ln(34)k=-0.2883k=-0.096

Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Note that, the vertex of the parabola is at (4, 2) and the axis of the parabola is vertical. So, the...

Q: 3xy If z determine 2x - 3y

A:

Q: Verify the inverse function theorem of y = Vx +2

A:

Q: C. Find the values of the constants c and k that make the function continuous at every number. [3x +...

A:

Q: C. Find the values of the constants c and k that make the function continuous at every number. S3x +...

A:

Q: Find the indefinite integral of the equation below. (Remember to use absolute values where appropria...

A:

Q: 16. According to Newton?s Law of Cooling, the rate at which a substance cools in air is directly pro...

A:

Q: Find vector such that the magnitude is 2 and vector has the same direction as W = î - 2j +3k. Graph ...

A: Given problem:- Find vector such that the magnitude is 2 and vector has the same direction as W= i ̂...

Q: Compute (g(x)), where f(x) and g(x) are the folla opute (g(x)), where f(x) and g(x) are the tell dx ...

A:

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary functions....

A:

Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters p...

A: Follow the procedure given below.

Q: 1-4sect + sin² t (Ans: d tant dt cost - 4 cost(cost – 4)

A: Topic = Derivative

Q: b. Suppose the function h is defined as h(x) = 3f(x). Determine the domain and range of h.

A: b. Given that  h(x)=3f(x) Domain of f is [0,4] and range [0,2]      

Q: b. Suppose g(x) = 969 – 0.9x³. - i. What monomial expression best estimates g(x) for very large valu...

A:

Q: 3x Consider the integral dx: x2 + 4x + 8 This can be transformed into a basic integral by letting an...

A:

Q: At 9:00am a thermometer reading 70° F is taken outdoors where the temperature is 15°F.At 9:05am, the...

A: Newton's law of cooling is;dTdt=-k(T-Ta)dT(T-Ta)=-k dt(T-Ta)=C e-ktT=Ta + C e-kt

Q: Consider the following. 4 f(x, у, 2) %3D х2уz - хуz5, P(3, —1, 1), и %3D(о, 5' (a) Find the gradient...

A:

Q: y (2xy +1) = xy)

A:

Q: Question: Given y = sin u and u = 3z + 1, find dy/dr %3D Select one: 3 cos (3z + 1) O 3 csc (3z+1) O...

A: This question is related to derivatives.

Q: we. ON 11. =? - ду (a) 3y – 3ry? (b) у — Злу? (c) 3y+3ry? (d) y+3ry?

A:

Q: Which of the following equations is not a variable separable? ту + 3х — у — 3 ry – 2x + 4y - 8 dy dy...

A:

Q: a. What is the measure of the subtended arc in units of - of the circle's circumference? Preview b. ...

A:

Q: Determine whether the alternating series converges. 7ln k k k=3

A: This is a problem of series calculation. By using several test method we can decide whether series i...

Q: Find the derivative. I+5 = (x) 6 12 + 2 Select one: 2 (z + 5) (-x² – 10z + 2) g' (z) 2,

A: Here we have g(x)=x+5x2+22  

Q: Why are both the x-coordinate and the y-coordinate generally needed to find the slope of the tangent...

A: Given,           The x-coordinate anf y-coordinate generally needed to find the slope of the tangent...

Q: Exercises 1. Solve the following differential equation: dy = sin 5x dx

A:

Q: Is the following a power function, a polynomial, both, or neither? f(x) = –17x³ Select the correct a...

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Q: B. Get the integral of the given function

A:

Q: 1. Prove that (1) (2) (3) + (2) (3) (4)+...+ n(n+1)(n+2) = n(n+1)(n+2)(n+3) %3D

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: 4. * S sec? (4t) (3 – tan(4t)) dt 1 (3 – tan (4t))* + C (3 – tan (4t))* + C 16 - - B. 1 (3 – tan (4t...

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 z6 + dz (8 - z)4

A: integration

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 9. ens n...

A: D'Alembert Test: Let ∑n=1∞un be a series of real numbers such that limn→∞un+1un=LThen if L<1 then...

Q: Given cost function C(q) = q° - 130q + 24000q, what is the minimum average cost? per item. (Round to...

A: The cost function Cq=q3-130q2+24000q

Q: 18. Determine the roots of the auxiliary equation of y" + 3y" – 4y' – 12y = 0 (а) —3, —2,2 (b) -3, –...

A:

Q: Question: Find the derivative. 1+ vi

A:

Q: 12. A function f, continuous everywhere and twice-differentiable for x # A, satisfies • (-44) = B, f...

A: ----------------------------------------------------------------------------- Basic information:  f'...

Q: Which of the following best represents the particular solution of the differential equation: y" – 6y...

A: The given differential equation is y''-6y'+9y = 6x2+2-12e3x ⇒ D2-6D+9 y = 6x2+2-12e3x ⇒ D2-2·D·3+32 ...

Q: Suppose an angle has a measure of 100 degrees. Tip: Watch the video at the end. a. If a circle is ce...

A: Let's find. 

Q: Suppose the function g is defined as g(x) = Fill in the following blanks. f(x) (Note: if g(x) increa...

A: The g(x) function is defined as g(x)=-5f(x) ........................................... (1) and the ...

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

A:

Q: 6. According to Newton?s Law of Cooling, the rate at which a substance cools in air is directly prop...

A: Find your answer below 

Q: Given the vectors M and N , find a) unit vector in the direction %3D of -M + 2N: b) magnitude of sî...

A: Given the vectors M→=-10, 4, -8 and N→=8, 7, -2, to find a unit vector in the direction of -M→+2N→b ...

Q: What is the particular solution to the differential equation y -2x 3y2 – 2 with y 1 when dy x= 1?

A: