4 TT 1 4. 2. 3 y = 1 + V2 csc x csc x + cot x P.

Q: 3. Sketch the region bounded above by the curve y = x², below by the line y = -x – 2 and on the side...

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Q: Consider a utility maximizing consumer who generates utility according to the following 1 utility fu...

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Q: The radius of a sphere is increasing at a rate of 4.9 mm / s. How fast is the volume increasing when...

A: Volume of the sphere , V = 43πr3 ; where, 'r' is the radius of the sphere.

Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: Consider

A: Please refer to the image 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: Analyze ( find the relative extrema, inflection points) and trace the curve y = x3 - 3x2 - 9x + 5.

A: Given function f(x)=x3-3x2-9x+5

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

A:

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1 quest...

Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n n³ + n² + 1 n=1 converges or diverge...

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Q: By the fests. 2. a³y = x²(2a² – x²)

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Q: Raggs, Ltd a clothing firm, determines that in order to sell x suits, the price per suit must be p= ...

A:

Q: these equations have distinct, real, characteristic roots. Find the general solution in each case a...

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

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Q: 6. y = In (e* + e*)

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Q: (4) Let S be the surface parametrized by I =r cos 0 y = r sin e 2 = 30 where and 0<r< 4 Evaluate the...

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Q: A population P obeys the logistic model. It satisfies the equation dP 7 P(5 – P) for P > 0. 500 dt (...

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Q: (9) Find the local maxima, local minima, and saddle points of z = f (r, y) = 1? + y + 2ry Identify r...

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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: Te relationship beween a profesSIonal basketball players helgh H (IN Ihches) anta welght w (In pound...

A: Given query is to find the weight for the given modal.

Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: We have to find the volume generated by rotation the curve about y axis.

Q: sinh(5) (A) 5+ v26 (B) In(5 + v24) (C) In(5 + 26) (D) 2 e-e- (E) 5 ||

A: Find your answer below 

Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

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: 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: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 3, s(0) = 2...

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Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

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: What’s the derivative ? f(x) = xe^-x3

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Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is rotat...

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Q: Suppose the temperature of a metal plate is given by f (x, y) = the temperature of the metal plate i...

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Q: у 3 cos (4x — 19)

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

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Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

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Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=13q+500​, find the maximum profit that ca...

A: Profit is given by P(q) = R(q)-C(q)Given R(q) = 80q-0.2q2C(q) = 13q+500P(q) = 80q-0.2q2-13q-500P(q) ...

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

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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: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: 8. y = In(x + Vx² +1)

A: According to given, only 8 is solved  

Q: O Find a general salution answ r リーx- C-X

A: The given differential equation is: xy'=12y2+y which can be written as: y'=12xy2+yx⇒y'-yx=12xy2 whic...

Q: (4) Let S be the surface parametrized by I= r cose y =r sin e 2= 30 where and Evaluate the integral ...

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Q: Solve this differential equation: dy 0.07y(1- dt 600 y(0) = 5

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Q: Find the area of the region inside one leaf of the five-leaved rose r= 5 cos 50. The area of the reg...

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Q: dx 1. S- x Vx2 -9

A: According to the guidelines in case of multiple questions, We are only supposed to solve first quest...

Q: dx (x+1)v2x2+4x

A: Given: I=∫dxx+12x2+4x   We know that; ∫1x2+1dx=tan-1x+C   So, We can also write as:   I=∫dxx+12x2+4x...

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

A: