12. The time a person studies for a test is variation to success on test. an inverse a direct an indirect

Q: Find the derivative of the function. g(x) = ex5 - 2x g'(x) = %3D

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Q: Solve the given differential equation. All solutions should be found. dy ° – 6y NOTE: Use c for the ...

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Q: Consider the function (T) 12z mean slope of the function on this intervat. 30r 10 on the interval 6,...

A: Average or mean slope is fiven by f(b)-f(a)b-aThe value of c can be calculated byf'(c)=f(b)-f(a)b-a ...

Q: Find torsion of the motion r(t) = . Leave your answer correct to two decimal places.

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Q: Given r"(t) = , r'(0) = and r(0) = . Find the k-component of r(2). Leave your answer correct to two...

A: We have to find k-component of r(2)

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: 2. Explain how we know the function f(x)= 2.x is one-to one. Then find the inverse function f. x- 3

A: We are asked to  find the inverse of the function.

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 – 7x)y² , y(0) : - ...

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Q: Since (k + 1)!/3k+1 lim k +1 lim k→+∞ 3 +00, %3D k→+0 k!/3k k! the series (converges/diverges/inconc...

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Q: 21. Determine the general antiderivative of f(x) = 4x 4x4 + 9 2x2 a. 2 cosh +C 3 22 + C c. 2 sinh¯ -...

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

Q: Items 15 The graph of a function f is shown. On top of the graph of f, sketch the graph of f'. Use a...

A: The graph of the functions are given as 

Q: d) Find S'(t). s'(1) = 1 e) Find S'(4) and S'(24), and interpret the meaning of these numbers. S'(4)...

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Q: -1 4x° sec x dx

A: In this question we will use basic concepts of calculus i.e concepts of indefinite integration. We w...

Q: dx Ve ve

A: Integration

Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included ...

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between si...

Q: 3. y'(x'y-2)dx+x(x*y' + 2y° - x)dy = 0 : y(1) = 1

A: We have to find the particular solution. 

Q: If a rock is dropped from a helght of 185 ft, its poistion t seconds after it is dropped until it hi...

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Q: 14-16 Show that the series is convergent. How many terms of the series do we need to add in order to...

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Q: 28. Evaluate eš dx and determine its particular antiderivative whose x-intercept is ln 3. 1 e3x – 3 ...

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Q: 1 =dx x+v cos(2x) > [1] S > [2] S dx sinx+cosx

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Q: For the given p-series, identify p and determine whether the series converges. -8/7 .Therefore the s...

A: The given series,       ∑k=1∞k-87

Q: X-1 2. Complete the following tables of values to investigate lim X→-1 x+1 f(x) f(x) - 1 -1 - 0.8 - ...

A: Complete table:           For (a), In both of that tables the value of f(x) when x approaches -1 i...

Q: Differentiate. h(0) = 02 sin(0) h '(θ) -

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Q: A chemical substance has a decay rate of 8.3% per day. The rate of change of an amount N of the chem...

A: The solution can be seen below.

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: point of inflection where double derivative is zero.

Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt dy dt 15, find dy/dt when x = 4...

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Q: 1. For the polynomial function P(x)= x' - 2x – 33x+10 (a) Describe the end behavior of P. Use notati...

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Q: (3x +1, xs0 f (x) = {x,0 < x <4 x – 5,x 24 2 6. Given , evaluate f(3). O f(3) = 9 O f(3) = 10 • f(3)...

A: Given query is to find the value of the function and at x = 3.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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Q: Find the solution of the given initial value problem in explicit form. sin(2x) dx + cos(6y) dy = 0, ...

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Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True Fals...

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Q: S sec*x csc*x dx

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Q: 15. Solve the inequality. 7|x – 5| > 7 -4 < x < 6

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Q: V1+x3 dx [6] S (7) (ax2a (x2a+1)*dx x-2 ах2а (7] S

A: Given: (1)   ∫1+x33x-2dx (2)  ∫ax2ax2a+13xdx

Q: 3. Consider the function f(x), whose graph is shown below. Determine the limit of a function, by obs...

A: The limit exists at a point means that ..... LHL left-hand limit of the function should be equal to ...

Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and b...

A: Given query is to find the value of a and b.

Q: Determine the area of the region enclosed by x=12y^2−3 and y=x−1

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: We have to find the differential equation of the Newton's law of cooling.

Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

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Q: Q3. Each of the following curves is expressed as y = f(x) i.e. in terms of x. However, you are asked...

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Q: Consider the following graph. y 10| 8. 6 4 (1, 3) 2 -4 -2 2 4 6 8 10 -2 (1, –2) (7, –2) -4F (a) Find...

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Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t 

Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of...

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)° at x = 4. (Type your answer in ...

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Q: dx V4x – x2

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Q: Determine (without solving the problem) an interval in which th solution of the given initial value ...

A: 16-t2y'+5ty=7t2 , y(-7)=1 ⇒dydt+5t(16-t2)y=7t216-t2 16-t2=0⇒ t2=16⇒ t =±4  

Q: CALC I | FIND AZTA of RELDON BOUNDED By Y=e, y=e^, x=1, x=2

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Q: INTEGRAL Evaluate the following: 8. Se2×dx

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Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture t...

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Q: Postal regulations state that packages must have length plus girth of no more than 84inches. Find th...

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