(tan xI" =( Snx) by quekrent pule ; (SmxI" ( Cos al ex. by quotient rule: Cos x (Sinx) (Cos x) (Cos x)² Sinxl-snxl Cos X Cos x.cosX Cosix t Bin?> - Cos x %D Extra exercist Derive the denvatiuve formula for (cot x)', ( Sec x) and (csc x) step by step, Simılar to the example above.

Q: Simplify 3 tan x cos x cot x (1/3)cosx 1 + cosx 3cosx

A: Given query is to simplify the trigonometric expression.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: This question is based on application of derivative.

Q: 16. Evaluate S x² cos(x³) dx a.) -sin(x³) + C b.) sin(x') + C c.) - sin(x³) + C d.) sin(x') + C

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Q: Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(g) = - 2.8q + 900, what profit can...

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Q: 11T Find the exact value of tan 6. 4т • sin (That dot between the two trigonometric functions repres...

A:

Q: Let f(x) = /1 – x and g(x) Determine the following composition and its domain.

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

A: This question is related to sequence and series, we will solve it using ratio test. 

Q: I How did he get the value inside the circle X: Evaluate Is f(tanx}?d EXp 3.2 1x dx (sinx)3.2 3.2 -3...

A: Here is the solution

Q: Find the difference quotient f(a+h)-f(a) if f(x) = 2x – ! - 1 h

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: ∫(x2-2x+1) / (x2-2x-3)5/2 dx solve using integration by parts

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Q: sec x - sec x sin2x = cosx sin²x sinxtanx

A: Given query is simplify the expression.

Q: Transform the polar equation r = 3 sin(0) to an equation in x and y. %3D

A: Converting the polar equation to rectangular equation

Q: 7. Analysis of the voltage in a hairdryer involves terms of the form sin(nwt – 90°), where n is a po...

A:

Q: For each graph, select all symmetries that apply. Graph 1 Graph 2 Graph 3 -2 Symmetry: Symmetry: Sym...

A:

Q: dx (Be* a arcsin + C 4e-2x-25 ß Find : α + β +δ

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Q: The height of a projectile launched into the air is given by f(t) = - 16t + 220t +9, where t is the ...

A: Average rate of change

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: Considered the graph of Function a.

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

A: We have to find if the sequence is strictly increasing or decreasing.

Q: tan A - sec A = %3D sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

A:

Q: The function f(x) = 3 + 6x + 96x has one local minimum and one local maximum. %3D (-4,–45) X Invalid...

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A:

Q: Sin (x) n=

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: A ball is thrown across a playing field from a height of h = 4 ft above the ground at an angle of 45...

A:

Q: Find all solutions to the following equation on the interval 0<B< 2n (in radians). 2 cos (B) + cos(8...

A:

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: tanxcosx = cos²x sinx secx

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Q: 2 5. lim x→3 \x – 1 х2 — 1, 2 |

A: Follow the procedure given below. 

Q: Given point P (5, 12), find sing. 5/13 5/12 12/13

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Q: Determine whether integral accurte to 8 7 J3 x – 4

A: Given, ∫387x-4dxwe know thatIf exist b, a&lt;b&lt;c, fb=undefined, ∫ac fxdx=∫ab fxdx+∫bc fxdx

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A:

Q: Consider the function f(x) 4- 7x", - 3 <¤ < 2. The absolute maximum value is and this occurs at c = ...

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Q: Find the Maclaurin Series for the function f(x) = sinx

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Q: 1 sec x sin x CSC X cos X tan x

A:

Q: 2. Show that k(x, y) = e2ª cos (x + In y) is a solution to the differential equation 2k – ykya = 5k.

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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: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of t...

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Q: An airplane heading due north has an airspeed of 260 km/h. It encounters a wind blowing east at 96 k...

A: Let u km/h be the velocity of a plane heading towards north and it is facing a wind blowing from eas...

Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values...

A: Since you have posted multiple questions i can do first question with first three subparts as per ou...

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 15 integral ...

A: We have to find value of integral by Simpson's rule.

Q: Find the complete solution of dy + dx = 3r'ydr %3D O ry C-r O (C-a) = 1 %3D Oy -2-C

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Q: Use the formal definition of the limit to prove.  lim (4x − 3) = −7 x→−1

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Q: dx 3x2 + 11x + 6

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Q: d²y 1. -4 +y=r²-2t +3 dt dy dt

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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: Translate each graph as specified below. (a) The graph of y =x is shown. Translate it to get the gra...

A:

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