10* -dx may be written as AlnlsecR+ tan Rx C where A, B, and C are constants not equal to zero. Evaluate the value of nB*| + cos10* ‚A -1 +B 20 O 15 O -20

Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

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Q: b d +-x" + C. What is the value of the sum a The general antiderivative of (3x2 – 4) 2x2 can be writ...

A: The general antiderivative of (3x2-4)2x2 can be written as (a/m)xm-(b/n)xn+(d/p)xp+C.  Now we have t...

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

A: We have,

Q: d +-xP +C. What is the value of the sum a The general antiderivative of (3x2 – 4) 2x2 can be written...

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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: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?

A: Given∫123x-5dx

Q: Find the centroid (a, j) of the region bounded by: 7а? + 5a, у — 0, г %3D 0, and x = 9

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Q: Solve this differential equation: dy 0.05(900 – y) dt y(0) = 50 %3D y(t) = Note this is limited grow...

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 7/3 zP (?)f s(2) dz 2. 7/3...

A: Topic = Integration

Q: 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...

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region ...

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: It can be solved using differentiation and quadratic formula.

Q: t 9dz 9dz The infinity in the can be eliminated by lim (1– 3z)4 (1- 3z)4

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Q: sinh (5) = %3D (A) 5+ v26 (B) In(5 + v24) (C) In(5 + v26) (D) 은 (E) 5

A: We can find the correct option from the answer as below.

Q: dy Find dx y=4(sec x + tan x)( sec x- tan x).

A: Here, the given function is: y=4(sec x+tan x)(sec x-tan x)  =4(sec2x-tan2x)  =4(1)             (beca...

Q: 10t2 Suppose the height of an object is given by h(t) = experiment begins. 8t + 3 meters, t seconds ...

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'...

A: According to the problem, we have

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: Find Vla| for the series. k k + 12 k=0 (Express numbers in exact form. Use symbolic notation and fra...

A: We can find limit as follows

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: Use linear approximation, i.e. the tangent line, to approximate v25.4 as follows: Let f(x) = Vx. Fin...

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

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Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its v...

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative minim...

Q: Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was thro...

A: We need to find time when stone passes top on its way down.

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: ng If C(t) = 62.5t e -0.19t , of a drug in a person's system t hours after the drug is administered,...

A: Given problem:- If C(t) = 62.5te-0.19t measures the concentration, in ng/ml of a drug in a person's ...

Q: 4. y = xcoSx

A: First we take log both sides and then differentiate both sides with respect to x.

Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)...

A: Using chain rule of differentiation

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

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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: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:       ...

Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?. where k is a positi...

A: The given question has been solved in detail.

Q: 1. tan(8) cos(8)

A: Given query is to simplify the expression  

Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

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

A: We use the formula for volume=π integration of y2 from x=a to x=b.

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: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the en...

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Q: f(x) – f(1) - If f(x) = log2(x), then lim %3D x-1 (A) me In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:25 PM

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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: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: Given revenue and cost functions R(q) = 90q – C - 0.4g and C(q) = 15q + 550, find the quantity when ...

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Q: A vector function is given as A = R3R cos() What is the numerical result of fy (V A)dv over the hemi...

A: Solution

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

A: Integration

Q: Use sigma notation to write the sum. 20 Σ j- 1

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

A: topic - derivative of a function

Q: Evaluate the flux integral F.S where S is the surface given by 22 = 1 + y, 0s z 5 4, oriented upward...

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Q: 3 Determine the intervals for the following functions to be defined. Show that the functions are con...

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Q: Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D ...

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Q: Your are driving away from Detroit. Your distance​ (in miles) away from Detroit x hours after​ 12:00...

A: