In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the value of A for 3

Q: Find an equation of the tangent line to the curve at the given point. 3. Y sin xt cos P (0, 3)

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Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5g + 6500. ...

A: The given data is: The demand equation for the computer is given by pq=-5q+6500, where p is the pric...

Q: ) Find the indetinite întegrel. 8, Inede

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

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Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx 1 + x2 trans...

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Q: Find the solution of the differential equation with the given initial condition. dy 2xez? y(1) = 2 d...

A: This question is based on solution of differential equation.

Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

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Q: find lim f (x), if it exists. 1– cos z 59. ƒ (æ) = Answer + sin z 60. ƒ (x) = e" – 1 61. ƒ (z) = %3D...

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Q: 3. Show that among all rectangles with an 8 meter perimeter, the one with the largest area is a squa...

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Q: Previous question If C(t) = 79.5t e -0.13t ng of a drug in a person's system t hours after the drug ...

A: We will find the rate if change of drug administered. 

Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

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Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find ...

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Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? O -2 O -1

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Q: 28. A particle moves along the curve y = 3x2 +1 in such a way that the y value is increasing at the ...

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Q: Find the limit using L' Hopital Rule. L'Hopital Rule. lim x? In (5x)

A: limx→ 0+x2ln5x using L'Hopital rule

Q: Find the derivative of f(x, y) = e*y + eY at the point (1,3) in the direction of the vector

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Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

Q: The integral of (10*/cos 10*)dx may be written as A In sec B* + tan B* | + C. Where A, B, and C are ...

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Q: Consider the following function. f(x) = ;x = 1 (a) Use any method to estimate the slope of the tange...

A: Explained below 

Q: A stone is thrown straight up from the roof of an 80-ft building. The distance (in feet) of the ston...

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Q: 2. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into...

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Q: Using the partial fractions technique, the function x) can be written as a sum of partial fractions ...

A: To evaluate the integral.

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

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Q: COSX-e +e The integral dr may be written as me asinx + px + ge" + C, where m, n, p, q, r, and Can si...

A: We will solve the integral. 

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1) ...

A: We will do this question by checking the conditions for the given options.

Q: these equations have complex characteristic roots. Find the general solution in each case.  a.y'' +...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: Question 1 sinx sinx +x The integral COsx - e +e dr may be written as mensinx prt gerxLC. where m, n...

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Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

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Q: 1. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above th...

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Q: An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment ...

A: Given problem:- An annular cylinder has an inside radius of r, and an outside radius of r₂ (see figu...

Q: Consider the line perpendicular to the surface z=x^2+y^2 at the point where x=3 and y=2. Find a vect...

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Q: Given cost function C(q) = q° - 125q + 26000q, what is the minimum average cost? It would be $per it...

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Q: Given cost and price (demand) functions C(g) = 120g + 44,000 and p(g) = - 2.1g + 890, what price max...

A: Given query is to find the price for maximum revenue.

Q: Find relative extrema for f(x,y)=x^3 - 6xy + 8y^(3) - 2.

A: Question- Find relative extrema for  f(x,y)=x^3 - 6xy + 8y^(3) - 2. 

Q: Ge Given revenue and cost functions R(q) = 70q - 0.4q and C(g) = 14q + 550, find the maximum revenue...

A: Given problem:- Given revenue and cost functions R(q) = 70q -0.4q² and C(q)= 14q+550, find the maxim...

Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, how many items m...

A: This question is based on application of derivative .

Q: e. Find the area under the curve y = vx + 8 from x = -8 to x = 4. Give exact answer.

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Q: substitution x = tan 0, then, the integral dx 1 + x2 transforms into tan 0 sec 0 d0 Select one:

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Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x, 0s...

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by    ...

Q: Using the integration bay parts formula with u = x², dv = cos x dx, the integral x* cos x dx becomes...

A: Given u=x2   & dv=cosx dx∫x2 cosx dx  

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

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Q: A company produces a special new type of TV. The company has fixed costs of $453,000, and it costs $...

A: We have to find the price that can maximize the profit.

Q: (x +1)' sin x (c) lim 2х X-0 sin x lim -0 5Jx (d) 20? +sin O lim (e) 40 6x-sin 2.x lim- X-0 2x +3sin...

A: We evaluate the given limits in the following.

Q: Suppose f(0) = – 4, f'(0) = – 2. Approximate f(0.03). - f(0.03) - (enter your answer rounded to two ...

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