Find the period of the graph of y = - 2 sin O 67 01 O 3T O O O O

Q: = Homework: HW10--3.1 a. For the function and point below, find f'(a). b. Determine an equation of t...

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Q: Examples: Find the limits of the following: 1. lim sinx = sin1 2. lim cosx= cos (-1")= 7 x-1* 3. lim...

A: 1) limx-1- Sin-1x 2)limx--1+ Cos-1x 3)limx-infinitytan-1x.

Q: Use any method to determine whether the series converge. 1 (a) Σ k8 + 11k + 1 This series 1 (b) E (1...

A: A)∑k=1∞ '1k8+11k + 1  resembles ∑k=1∞ 1k8Applying limit comparison test,limk→∞ anbn ≤1     (for seri...

Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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Q: 2. lim 5*

A: Here we have to evaluate limx→05x

Q: curves

A: Please refer to the image below

Q: 1+cscx 7. h(x)=- 1-csc x

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Q: An equation containing derivatives or differentials is called a/an A differential equation B exponen...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: From the given curves and the line bounded region is as shown below; Use the cylindrical shell meth...

Q: Write the first five terms of the sequence: +oo {Vn² + 7n – n}n=1 - Determine whether the sequence c...

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Q: [1+sin x) 'cos x dx (sin x)4 +C A ) x+ sin x + B -(1+ sin x)*+C (sin x)4 -+C 4 sin x +

A: Substitute, 1 + sin(x) = t

Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

A: Solve by volume revolution

Q: Find an equation for the tangent plane and the normal line to the surface x? + 2y? – 3z² = 3, at the...

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Q: Given vector function: 7(t) = (sin t, cos t, t) Find the following: (show complete solution). a. Com...

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Q: To evaluate the integral expression sin-(Vx )dv, using simple substitution dv =f (x) dx Determine th...

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Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =...

Q: SOLVE THE DIFFERENTIAL EQUATIONS

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Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

Q: x+2 f(x) = +x-12 ... UA. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Us...

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Q: ( E)i+(G + log(vF –1 – 1) + (5ť² +1 – log t)k |3 – V7 – t2| t2 – t – 1 T(t) =

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Q: sin 2y dx - 3x--cos 2y dy = 0 by separation of variables. Solve the differential equation A xe - 3 c...

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Q: If f(x)dx=cot x² +C , then f (x) is equal to A -2cscx? B -2xcsc?x? © In/cscx²| D O In/sinx²|

A: We have to choose correct option for value of f(x)

Q: A tank initially contains 100 gallons of brine whose concentration is Ib/gal. Brine whose salt conce...

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Q: (x+2x+3)(5-x) 10. g(x)= 3x+2

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Q: 1. In this problem you will prove that the shortest distance between two points is a line using the ...

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

A: Topic = Derivative

Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: 3x2 sin? x dx

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Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A: We need to solve the given separable differential equation

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

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Q: Pls help ASAP. Pls show all work and calcualtions. And pls show each and every step.

A: To find out the derivative of the function.   

Q: Express the repeating decimal as a fraction. 0.565656...

A: Given data: Decimal = 0.565656...

Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: Note:- “Since you have posted multiple questions, we will solve first question for you. To get remai...

Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: We want to find the distance travelled by the kite. 

Q: Model the height h of a projectile as a function of the time t it is in the air, with h(0) as the in...

A: Domain in this context mean that the values of t which makes height greater than or equal to zero. S...

Q: x- , y- In(t) (a) Eliminate the parameter to find a Cartesian equation that represents the curve. (b...

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Q: 2. x2 – xy + y2 = 3, find y". 3. Find the equation of the tangent to the graph y = x Vx-1 at ( 5, 10...

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Q: In integrating the function f(3x + 5)(cos ) dx using integration by parts, what would be your du?

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Q: (1 + +)' y =

A: As per the instruction, we will be answering only first question.  y'=1+1x3'    =31+1x21+1x'    =31+...

Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

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Q: x3+ 4x2-9x-36 3. у 3 4x2+28x+48

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

A: We will find the derivatives. 

Q: xp- A 3 X - 2ln (x²) + C + In (x²) + C D +C + B.

A: Given query is to find the value of the integral.

Q: dy Find for the following function. dx y = 5 sin x+2 cos x dy dx II

A: Given that          y = 5 sinx + 2 cosx  Here we have to find dy/dx .

Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B 2...

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha ∫1a2-x2dx=sin-1xa+CThereoreI=sin-143x1+CI=sin-...

Q: An+1 -to determine if the sequence an { Use the ratio is 4n + 6 J =1 strictly increasing or strictly...

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Q: . Evaluate f(12x² + 2x)dx a.) + 2x + C b.)꼭+ 2 +C c.) 4x² + x² + C d.) 3x³ + 4x² + C 3. Evaluate f d...

A: Topic:- integration  

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

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Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx ...

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Q: Question 1 Consider the function (x²y² – y³ x² + y2 0, if (x, y) # (0,0) f(x, y) = if (x, y) = (0,0)...

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