tonomous ODE dy %3D dt

Q: sine +tane is equal to cos e 2 cot 0 2 cot 20 tan 20 2 tan e

A: We have to find value of sinθcosθ+tanθ

Q: A firm manufactures a product that sells for $20per unit we have a cost per unit is $12 and fixed co...

A: topic - functions

Q: considering only the Values of & for which cos (-0) is defined, which of the following expressions i...

A: Given query is to find the equivalent value to the expression.

Q: Given that sec(0) V13 and 0 is in Quadrant IV, what is tan(0)? Write your answer in exact form. Do n...

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Q: find all of the critical points and local maximums and minimums of each function. (a) f(x) = 1+ x2 '...

A: Note: Since multiple questions are asked, I am answering the first question.please repost other ques...

Q: uate the limit of the function given the graph of the function. onsidered the graph of Function a.

A: Answering first two parts of the question as third part's context is not related to the graph. Given...

Q: Consider the initial value problem and find the solution for y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)...

A: Solution: y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)=-1.

Q: If a tank holds 2000 gallons of water, which drains from the bottom of the tank in 40 minutes, then ...

A: This question can be solved by applying the concept of rate of change of quantities.

Q: 1 ER=1 (- 100 k%3D1 2k+1

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Q: sine cose tane= tane cos?e sin?e

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Answer is following ..

Q: Consider the function f(x) 4- 7x", - 3 <¤ < 2. The absolute maximum value is and this occurs at c = ...

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Q: dy dt II

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Q: An airplane is heading due east with an airspeed of 220 km/h, when it encounters a wind from the sou...

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Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

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Q: Let f(x) = V1 – x and g(x) = . Determine the following composition and its domain. f•g

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Q: 5 14. We know the runner ran more than 0 meters in those 90 seconds. To find the distance 90 di trav...

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Q: 3. y'-5y =xe* –xe"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Cim sin(4)it in(2411);+ Cos)K Cos(4)k

A: This question can be solved by applying the formulas of limit on first term and by directly applying...

Q: Suppose f(x) is continuous for all x and positive for all a except at x = and/ f(z) dz converges. Se...

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x3 – 3x2 – 9x + 3 Find the ...

A: Topic = Derivative

Q: Given point P(5, 12), find cos 0 5/13 12/5 12/13

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x-1 x1 a. Find lim f(x) or state...

A: Function and table values are given, we have to find the limits at given points.

Q: N. R dy dx where M,N, P.Q and R are algebraic expresions.

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Q: Find the critical points of y= -2x^2 +4x +3 and apply the Second Derivative Test to find the maximum...

A: Critical point and extreme points

Q: (1–sin a)(1+sin a) (1–sin a)(1+sin a) Which expression is equivalent to for all values of a for whic...

A: Solution: 1-sin α1+sin αcos α

Q: he height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - ...

A: Given query is to find the velocity at given time.  

Q: Help

A: Please refer to the image below

Q: Considering only the values of 0 for which cos Otan (-0)sec (–0) is defined, which of the following ...

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Q: Water is being pumped into a swimming pool at the rate of 5 gal per min. Initially, the pool contain...

A: We will solve the given problem as 

Q: 8 sin x cos x sec x =

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Q: The following illustration shows the graph of f'(x). On what interval(s) is f"(x) < 0? 4 2- -2 -2 a....

A: topic - functions and derivatives

Q: Stanley measured a county park and made a scale drawing. The picnic area, which is 120 yards long in...

A: The length of real park=120 yardsThe length in drawing=270 inches

Q: CalculateS.

A: Here we have to calculate ∫02xe-xdx by trapezoidal rule n = 10      

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2 3...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: A lamina occupies the region inside the circle x2 + y = 4y but outside the circle x2 + y = 4. The de...

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Q: Find the inverse of the given function. log,(r) f'(x) =

A: Given log3x=yWe know that logba=n and this can be written as a=bn

Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 9 13 17 21 25 V...

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Q: You deposit $1200 in an account with 4% annual compound interest. Complete the following, assuming y...

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Q: dy Find for the following function. dx 3 - cos X y = 4 + coS X dy dx II

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Q: QUESTION 2 of where f(x.y)- sin ду Oa. X Find O b. -X cos O. y-X cos O d. 1 O e. None of the other c...

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Néxt question Evaluate the following limit or state that it does not exist. (Hint: Identify the limi...

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Q: | f(t) dt 20z 4, then f (t) dt is If 4x²+21

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Q: Question 2 A company's Marginal cost function is M (x) =6x and the fixed cost is Php 1000. Find the ...

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Q: sin 2x + sin x + cos 2x - 1 = _______ cos x cot x tan x sin x

A: Solution ) sin2x + sin x + cos2 x - 1  = sin2 x + cos2 x + sin x - 1 We know that  [ sin2 x + cos2 x...

Q: Problem B.8 Beginning with y = emx, derive the auxiliary equation for each of the following differen...

A: Since multiple subparts are asked, I am answering the first 3 subparts only.

Q: If k(x) =    1 if x < 0 x + 2     if 0 ≤ x < 1 1 − x     if x ≥ 1, find the following. (a)     k(−...

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Q: Find fr and fy for f(x, y) = (1+2 – 2y)e"+2y 2y)e+2y

A: Given: - The function is, f(x,y)=(1+x-2y)ex+2y To find: - The value of fx and fy.

Q: The height of a projectile launched into the air is given by f(t) = - 16t + 220t +9, where t is the ...

A: Average rate of change