3. lim cos X

Q: Determine the domain of f(x, y) = In (x² – y) %3D А. On and above the parabola y = a. В. On and belo...

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Q: Activity 4 Directions: Find the area of the given below. Write your solution on the given space. 1. ...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: 23. Evaluate f-43*+3 dx a.- 3 In 4 b.- *+3 -+ C -3 In 4 С. - In 64 + C d. none of the above 24. Eval...

A: We have to evaluate these integration by assuming some terms who convert it in simple integral. 

Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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Q: IX. sin (2x)dx by using walli's formula. a is equal to ? 29. A.0 В.1 C.2 D.pi/2 The definite integra...

A: Let's find. 

Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

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: Consider the following sequence: {an} = {n – n² },=-1 Use an+1 - an to show that the given sequence ...

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Q: 2. Which is the interpretation of the statement lim f(x) = L ? i. For all x values close to c, but n...

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Q: 6. The area of a rhombus is 143 m?. If the longer diagonal is 26m finc the shorter diagonal in inche...

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Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: Consider the following sequence: +oo 7" {an} n=1 An+! -to show that the given sequence {an } is stri...

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Q: The volume V =ar° of a spherical balloon changes with the radius. a. At what rate (ft /ft) does the ...

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Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

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

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Q: Evaluate the following integrals. sin" r 0. cos a kle

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Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2, [...

A: We have to check if the function is continuous or not.

Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where 1<t<12...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks th...

Q: In each graph, a parent function has undergone a transformation of the form f(kx). Determine the equ...

A: We need to find the equation of transformed graph red using the graph of parent function green.

Q: 2. A tonk initially contains 1oO gallons of brine whose concentration is 2 lb/gal. Brine whose salt ...

A: Given

Q: 17. Evaluate S sec x (secx + tan x) dx a. tan x + sec x + C b. tan x - sec x + C c. - tan x + sec x ...

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Q: Activity 1: Determine the number at which the function is discontinuous. Show why Definition 1 is no...

A: A function f(x) is continuous at x=a if and only if limx→a+ f(x) = limx→a- f(x) = f(a).

Q: Solve (x² + 4) y' = 2xy %3D

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Q: ate the Power Reducing Identities for sine, cosine, and tangent: s²(N) an²(N)

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Q: Mesin(2x) dx = esint2M + C then the M is equal to Blank 1 If Blank 1 Add your answer

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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: I. Evaluate the integral of xy dx from x 0 to x 6 using the parametric equation x = 6 cos 0 and y 2 ...

A: Now we have to find the value of integral: ∫06 xy dx

Q: hich of the following integral will give the volume of a solid generated when the area bounded by 4,...

A: Topic:- application of integration

Q: Lessoh 12. In each graph, a parent function has undergone a transformation of the form f(kx). Determ...

A: we have to consider the points which both the red and green graphs are passing through. then we have...

Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx B...

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Q: Ni dr A +1 B 2 C) D E) None

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Q: Q/ Does the function have horizontal, vertical, or oblique alignments y = X-1

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Q: 8. If the longest side of a right triangle is 5.5ft and the shortest side is 3.3ft, find third side ...

A: Here, the longest side of the right is the hypotenuse whose length is given h=5.5 ft.

Q: Use integration by parts to evaluate the definite integral te dt. CHECK ANSWER

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Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C -7 f -$ -4 -B O 1 2...

A: Graph of the function is given, we have to find the following limits.

Q: x?dx ax ax + Barctan () + C x2 + 49 Find: a + B + 8

A: Use formula for integration of 1/(x^2+(a^2))

Q: xet dx (x+1)- 4.

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Q: II. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1...

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Q: Which of the following integral will give the volume of a solid generated when the area bounded by y...

A: We have to find volume generated when area is rotated about x-axis.

Q: A graphing calculator is recommended. The curve y = 1 is called a witch of Maria Agnesi. 1 + x2 (a) ...

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

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Q: Evaluate the following integral | sec(VT) tan(v) dæ

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Q: (c) Determine if F is a conservative vector field. Given that the charged particle is moving along t...

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Q: 26. Evaluate sx sec²(5x²) dx a. 2 sec (5x) tan(5x2) + C b. 20 1 tan (5x) + C c. 10 tan (5x?) + C d. ...

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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: 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: IX. E sin (2x)dx by using walli's formula. a is equal to ? A.0 29. B.1 C.2 D.pi/2 The definite integ...

A: Applying Wallis Formula. 

Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

A: