Question 16 Determine f(x) so that | cos(In?x) f (x) dx = sin(In²x) + C ... 2ln(x) A) In(x) B 2In(x) (D

Q: Consider the following sequence: 7" {an} 3n2 n=1 An+1 to show that the given sequence {an} is strict...

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Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINE...

A: topic- trigonometric ratios

Q: Jse the difference an+1 decreasing. - a, to show that the given sequence {an} is strictly increasing...

A: Let's find. 

Q: Consider the curve y = V 2x – x² where 0 < x < 2. -

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Q: the

A: We will find the derivative. 

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

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Q: +o0 а. n п+2 n=1

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Q: Determine whether the series converges. k 'In(k + 9) The series converges. O The series diverges.

A: Given query is to find series converges or diverges.

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface. T...

A: According to the figure, we have

Q: VT(y – 3) where 1< y < 2.

A: the given curve,   x=13y y-3 where 1≤y≤2

Q: 5x4 dx x5-3 S4 cos (-3x + 2) dx [ 4cot 5x csc25x dx

A: You can solve these integral problems by using the method of substitution.

Q: Find the derivative of the function. g(x) = 2(3 - 8x) g'(x)=

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Q: Write the first five terms of the sequence: {Vn² + 7n – n} +00 Determine whether the sequence conver...

A: Given: ∑n=0∞n2+7n-n

Q: k If u = f (x), then f dx x4+2x2+1 +C for some constant k . Compute kf (1). x2+1 %3D

A: We have to find kf(1).

Q: Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = xo and then find the nth Taylor...

A: Let's find. 

Q: k-1 E () Since the series can be rewritten in the form it is a geometric series with: k=1 a = Give e...

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Q: Find a parametric representation for each of the following surfaces: (a) 36(x-1)² +25,y² +9(z+2)² = ...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: 11

A: We will find the derivative. 

Q: Q9

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Q: Consider the expression ſ V4 – x² dx = F(x)+C. The expression %3D F(2) – F(-2) is equal to

A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: Please answer the last 3

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Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.6 m. Find the work requ...

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Q: equations

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Q: S(z) = 64 –3 V/

A: f(x) =x964-x3We can rewrite the function as;f(x) = x9  164-x3f(x)=x9 (1641-x364)a=164,  r=x364   (Ge...

Q: an exponential function y f(x). (2,8.64) (1,7.2)

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Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)

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Q: The graph of one complete period of a sine curve is given. y 9- 3 A -9 (a) Find the amplitude, perio...

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Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = cos* (;x) dx

A: y=∫cos412x dx

Q: 2. xdy +(y-xy+2)dx=0

A: Given,           xdy+y-xy+2dx=0To find : Solve the differential equation.

Q: 1- 8x + 72(-1) (k + 7)! k! k=2

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Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

A: Given query is to write the expression in Polar form.

Q: Obtain the differential equation of the family of circles having their centers on the x-axis.  (x-h...

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Q: dx +x tan y= dy sec y 1+tan

A: The given differential equation is; dx/dy +xtany=secy/(1+tany)

Q: 4. Fond theequation ofthe tangent line to the graph of the Function FCx)=R-JX at the point (1,0).

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: The given series is: ∑k=0∞56k+3=563+564+565+566+... which is a geometric series with the first term ...

Q: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

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Q: Given A=-3ay +2ax +4az, B=3az -2ay + 5ax and C=-3ax +4az +5ay. Find a. A+2B-C and b. I 2A-3B+C I.

A: Given A=2ax-3ay+4azB=5ax-2ay+3azC=-3ax+5ay+4azA+2B-C=2ax-3ay+4az+10ax-4ay+6az--3ax+5ay+4az          ...

Q: cot 2x J Tcot22x – 15

A: Given problem:-

Q: Determine whether the series converges. Σ 1 k=1 2k – 1 The series converges. The series diverges.

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Q: du formula answer 24 +2 (2x-1)"(Ax + 2)""

A: Given: I=∫24x+22x-133x+23dx  ...1   We know that; The Product rule: f·g'=f'·g+f·g' The Power rule: ∫...

Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

A: We can solve the given problem by using the Pythagorean theorem and the derivatives.

Q: Find the standard (slopc-intcrcept form) cquation of the tangent linc to the following functions at ...

A: find equation of tangent line please like if your problem resolve

Q: 2. An electric current, when flowing in a circular coil of radius r, exerts a force kx F = (x² + r2)...

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Q: I. Evaluate the following function below. 3 2 1. S sin'y ( 2 – 3 cos y )´dy 9 3. S sin'x dx 9 4. J c...

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Q: create a graph with labels of a function that  satisfies:  have one point where f(x)=-3, at least o...

A: Question- create a graph with labels of a function that satisfies:    have one point where f(x)=-3, ...

Q: Solve each of the following DEs by determining its integrating factr. y(xy+2)dx+(x²y+8x-4y²)dy = 0

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Q: Find the unit vector of A=3ax+2ay-3az

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