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Q: Given the geometric sequence: 25, 6.25, 1.5625, . .. Find an explicit formula for an- 25 n-1 an Find...

A: We know for a geometric sequence with first term a0 and common ratio r, the nth term an is given by,...

Q: Determine the Laplace transform of f(t) = (5t^3)(e^6t)

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Q: 7. Use the definition of the derivative (long method/ increment method) to find the derivative of th...

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Q: (2x³–1)* y = is (5-3x)*

A: NOTE: As per our guidelines, I have solved the eighth problem. If you want the answer of other, kind...

Q: Choose the correct graph of y = cos x, -T< x< T: 37 2

A: Given the query is find the graph of the cos function.

Q: 2. It is easier to find the power or the root of a complex number if the numnber is written in form.

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Q: 10. Solve for the derivative of y IMPLICITLY 22 + Væ³ + 2y= y²

A: Note: According to our expert guidelines only first individual question is to be answered, kindly re...

Q: Find the infinite sum (if it exists): () -1· i=0 If the sum does not exists, type DNE in the answer ...

A: Given the series is ∑i=0∞ -1·32i

Q: 4. rdp-(p+pr)dr =0

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Q: Using logarithmic differentiation fx) = x° [2x+ 3 (x*+1)4

A: NOTE: Refresh your page if you can't see any equations. . take log on both sides

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: The point (3, 2) is on a curve and at any point, (x, y) on the curve, the tangent line has a slope e...

A: Given Slope of tangent line at (x, y) is 2x-3 and Curve passes through (3,2)

Q: 1. Solve the system by using A-1, the inverse of the coefficient matrix: x-3y+z =1 2х - у+ 2z %3D2 x...

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Q: 25 Select the function that is odd. f(x) = 2cos 2(x) f(x) = 2sin(x) + 2cos(x) f(x) = 2sin 2(x) f(x...

A:  A function f is even if f(-x)=f(x) for all x. A function f is odd if f(-x)=-f(x) for all x.

Q: A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co-or...

A: This question is based on finding equation of tangent line at a point on a given curve.

Q: Provide a diagram where limx→a f(x) exists, f(a) is not defined and f(x) is not continuous at a. Wha...

A: A function f(x) has properties,limx→af(x) exits, f(a) is not definedfx is not continuous at x=a cont...

Q: E valuate sin" e cae de

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Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population ...

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Q: Graph the following function. h(x) = |- 6x| Determine the transformation(s) that need to be applied ...

A: Given query is to find the transformation applied.

Q: Answ

A: In part 2, lower limit and upper limit of integral is same = 5

Q: Find the slope of the tangent line to the curve 2x2 + 4xy- 2y = 142 - at the point (– 1, – 4).

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Q: e equation below gives the posltion s=(1) of a body IIne (S in meters, tin seci ius). the body S vel...

A: Topic:- application of derivatives

Q: 6. Find the pattern in repeated derivatives of the following functions: (find f',f",f"’ etc until th...

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Q: A fast-food restaurant has a cost of production C(x)=11x+90 and a revenue function R(x)=6x. When doe...

A: Given:       Cx=11x+90       Rx=6x So, the profit function is:     Px=Rx-Cx

Q: 29. x10; e0.01x 30. x² In x; In?x 31. 32. In x; In (In x) 33. 100%; х* 34. 35. x20, 1.00001* 36. x10...

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Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(3) when the deri...

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Q: Construct a difference table to predict the next term of the sequence. –50, –68, –78, –80, –74, –60,...

A: Arithmetic series 

Q: 3. For what values of x does the graph of f (x) = x³ + 3x2 +x + 3 have a horizontal tangent.

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Q: Find the indicated sum. 19 %3D 2=0

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Q: Let an be the n th digit after the decimal point in 57 + 8e. Evaluate an(.1)". n=1

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Q: Using algebra, describe in two or more complete sentences how to determine if the function f(x)=3sin...

A: Given that: f(x)=3sinx

Q: 5. Choose ONE of the phrases on the right that best describes the followings: Triangle law of vector...

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Q: A is an angle in standard position with T(-20, -21) on its terminal ray. Find tang 21/20 -20/21 20/2...

A: We can find the tan value as below

Q: The number x (in thousands) of cat flea collars demanded each year when the price of a collar is p d...

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Q: Evaluate the limit 5(y? – 1) lim y→4 8y2(y – 1)°

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Q: Written Works Find the equation of the tangent line to the following functions at the specified poin...

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Q: 9. Let f(x, y) = 2x + 3y. Find the minimum and maximum values of f subject to the constraint x2 + y?...

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Q: Whwh f fellawy vectors vckars 18 fare nt popondialar ro i 225,1,27 i <-1,5,07 Pick that apply IA-21 ...

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Q: 3.2 2. 3t (t 8-4れt。75 ニ

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Q: Find the slope of the function's graph at the given point. Function: f(x) = x² + 1 Point of the f(x)...

A: We have to find slope of function.

Q: Find the inverse for the following function f(x), and find the domain and rang for f(x): x+2 f(x) x-...

A: Given that: f(x)=x+2x-7

Q: A. Evaluate each of the following definite integrals. 2 Sí (8x3 + 3x2) dx 1. 2. (1+ 2x – 4x²) dx 3 3...

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Q: 12x + 13x2 lim 13x3 - 7

A: limx→∞12x3+13x213x3-7=limx→∞x3(12+13x2x3)x3(13-7x3)=limx→∞(12+13x)(13-7x3)=(12+0)(13-0)=1213

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an . expre...

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Q: Perform the indicated operation and write the result in standard form. (2 (cos 114° +i sin 114°))" O...

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Q: V-1- x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(...

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the funct...

Q: (х+2)* x² – 4 dy 2y dx x? - 4 х —

A: Given  :        dydx+2yx2-4 = x+22x2-4

Q: Graph the funčtión. - 5, if x21 f(x) = -1-x, if x<1 O A. OB. Oc. OD.

A: Given query is to graph the piece wise function.

Q: Hi there, please help me with answering this question, I am a bit confused here. Please answer all p...

A: Given that: y=sin(sinx)

Q: If T is the point at a distance T from P(1, 0) on the unit circle with its center at (0, 0), in what...

A: Given :- unit circle with centre (0,0)