Find the area bounded by the curve y²=4x, the lines x =1 and x=4. 21 (A sq. units 63 B) sq. units 56 sq. units 3 24 sq. units 2.

Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 = V5 a,n. Compute lim an.

A: The sequence an is convergenta1=5 and an+1=5 an

Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is w...

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Q: sinh(5) = (A) 5 + v26 (B) In(5 + v24) (C) In(5 + v26) (D) e-e-5 (E) 5 2

A: Find your answer below 

Q: Simplify the expression sin(-0) cos(0) csc(-0) to a single trigonometric function.

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Q: dy Given the equation below, find dx 10a? + 3x"y + y' = 14 dy da Now, find the equation of the tange...

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: dx Evaluate Зх — 12 A) o в) 1 (c) + 00 D 00

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Q: I4)= te (t-1) Find the lapiare transform using the de finiton/ integration metnod.

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Q: -K-t K(1+8)

A: Please see the answer below.

Q: A house was valued at $105,000 in the year 1992. The value appreciated to $175,000 by the year 2006....

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Q: Consider the following function. (a) Find the zeros algebraically. (Enter your answers as a comme-se...

A: For zeroes we put y=0 .

Q: 12.-/1 pointsLarPreCalcRMRP72.3.028.MI. Use synthetic division to divide. (6x + 3x + 8) + (x+2) to

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

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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: pom ais Question dty Find of y = 6 cos (x). dx 54 Provide your answer below: -口 dx * Previous Aa

A: topic - derivative of trigonometric functions

Q: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

Q: (a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) ...

A: A function f(x) is said to be continuous at a point x=a iff limx→a-f(x)=limx→a+f(x)

Q: Express the limit as an integral. (7(x;)? - 2(x;)³Ax over [0, 4] lim i = 1 dx

A: This question can be solved using the limit definition of integration.

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Solve the separable differential equation 1 x2 + 4 dx dt and find the particular solution satisfying...

A: The given differential equation is: dxdt=x2+14 x0=6 To find a particular solution.

Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (1,-3) -5...

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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: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: Sketch the graph of f(x) x and the graph of the function g. y y 10- 10 -10 -5 10 -10 -5 10 f-5 -10 1...

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Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

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Q: Match the equation with its graph. y = x- x 2.5 15 0.5

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Q: d?y =6- 9x and which passes through the points (0, – 1) and (2, 3) - Find the equation of the curve ...

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Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

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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: Show that y1(t) = et and y2(t) = e−3t form a fundamental set of solutions for y'' +2y' −3y = 0, then...

A: If y1(t)  and y2(t) are two solutions to the differential equation                   p(t)y''+q(t)y'+...

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

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Q: / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0 O x = 3 tan 0 O None of ...

A: The integration of the integral is√(16-x2).

Q: Given that the terminal side of angle 0 goes through the point (-3,-4), find sec(@).

A:

Q: Given Cost and Revenue functions C(q)=q^3-8q^2+52q+5000 and R(q)=−3q^2+2500q​, what costs should t...

A: The given question has been solved in detail.

Q: sinx COSX- e +e sinx +x The integral dx may be written as me"sinx + px + ge* + C. where m, n, p, q, ...

A: We have,

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y ...

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Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 3D V5а,. a1 = Compute lim an. n→∞

A: ann=1∞ be a convergent sequence such that a1=5 and an+1=5an

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: in(cseg + cotsde 5. 2

A: Use simple integration formula.

Q: Question 2 d²y Find the equation of the curve for which = 6 – 9x and which passes through the points...

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Q: TT(e-1) В. 2.

A:

Q: Find the indicated derivatives, using the following information: g(3) = 10 g'(3) = – 3 f(3) = 4 %3D ...

A: Given: So,        fg'(3)=f'(3)g(3)+f(3)g'(3)          =(-1)(10)+(4)(-3)          =-10-12          =...

Q: sinx sinx + The integral cosx - e dr may be written as „nsinx me +px+qe* where m, n, p, q. r, and C ...

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Q: Consider the function f(x) = 3x - 81x on the interval [-5. 4]. Find the absolute extrema for the fun...

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Q: 2. cot(8)·cos(0) · sin(8)

A: Given: cot(θ)·cos(θ)·sin(θ)

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Given y=lnex+e-x To find y'':

Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a q...

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Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

Q: The doubling period of a bacterial population is 15 minutes. At time t=110 minutes, the bacterial po...

A: The exponential growth of a bacterial population is given by, A=A0ert, A0 is the initial population ...