x +1 limx→∞ х3 — 1

Q: A solution to the trigonometric equation 2 sin² x = 2 – - V3 cos x i. 90° ii. O° iii. 30° i only i a...

A: Given: 2sin2x=2-3cosx   As we know that; The Pythagorean identity; sin2θ+cos2θ=1    

Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름 (1-sec*x)...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j. NOTE: Enter the exact answe...

A: Given :Make an angle of 45° with 7i + 4j

Q: cos2x – sin2x cos2x For -dr =-F(x)+ C• What is F(x)? cosx - sinx A sinx – cosx) - B 2 sinx + -cos'x+...

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Q: Consider the function f(r) %3D f(1) has two inflection points at x = C and x D with C <D where C is ...

A: Given problem:-

Q: An expression that can be obtained from 4 sin 20 cos 20 + 13 sin 20 cos 20 cos 20

A: Given,            The expression is 4sin2θcos2θ+5cos2θ=13sin2θcos2θ.To find : The another expression...

Q: Let the region R be the area enclosed by the function ƒ (x) = /x +2, the horizontal line y = 2 and t...

A: The given problem is solved below in detail.

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-...

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Q: dx

A: Topic = Integration

Q: cos2x - sin2x cos2x For dr==F(x)+c What is F(x)? COSx - sinx O (cscx- secx) 3 2 2. sinx +-cos'x+cosx...

A: Given:          ∫cos2x-sin2xcos2xcosx-sinxdx=13Fx+C      =∫cos2x-sin2xcos2xcosx-sinxdx   Expanding t...

Q: esecx+ln tanx 9. cos x

A: topic - indefinite integral

Q: Carbon decays exponentially. How many grams of the carbon will be left in 139 years, if 123 grams we...

A: Initial amount P0=123 grams time t=96 years Amount left after 96 years =P=66 grams Exponential decay...

Q: +00 Σ 4 Determine if the series converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: ∑n=1∞ 4n2+4n+34 ∑n=1∞ 1n2+4n+3 an =1n2+4n+3Applying series comparison test;1n2+4n+3&lt;1n2checking c...

Q: Sx-² csc³ () cot () dx A) csc* (?) + c B) – ; csc° (*) + c c)금 csc* (2) + C D) – csc* () + c - 12 E)...

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Q: CHAIN RULE DERIVATIVES Directions: Defferentiate the given functions. 4) glx) - (Aut - Bu)

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Q: if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33 sq...

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Q: A draining reservoir has the shape of an inverted right circular cone with a base radius of 30 m and...

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Q: Graph the given piecewise Function

A: We need to graph the given piecewise function.

Q: Use the method of Lagrange multiplier to find the absolute maximum and absolute minimum values of th...

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Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: 2xyy'=1+y; whent = 2, y = 3 Ans. y = 5x-1

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Q: dx -In[F(x)]+ C. What is F( 3) if c = 0? For (x+x³)(x Tan-!x + 1)

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Q: 1 x?g* dx. -1

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Q: E and F are independent. P(E)=0.3 and P(F)=0.6 find P(EUF) and state answer rounded to 2 decimal pla...

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Q: Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

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Q: Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them ...

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Q: 2sim x-1 -y = COST+2

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Q: What is the integrable form of sin() du

A: The given integral is: I=∫sinθ2cosθ2sin(θ) dθ=12∫2sinθ2cosθ2sin(θ) dθ=12∫sin(θ)sin(θ) dθ=12∫1-cos2θs...

Q: mydx = nxdy Ans. x" = cy"

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Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area (...

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Q: A note card company has found that the marginal cost per card of producing x note cards is given ty ...

A: Here we will find total cost of producing 580 cards,

Q: Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the first 10100 bottles o...

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Q: Given: The local movie theater offers discount cards for movie. For Php 300, you can purchase a card...

A: Given: The local movie theater offers discount cards for movie. For Php 300, you can purchase a card...

Q: Using the separation of variable method, solve the following differential equations dy а). = x³ y? %...

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Q: 2 Determine the equation in the form (x) kx for the function with a vertical %D asymptote at x = 1 a...

A: The function with vertical asymptote at x=1 and y-intercept at -1.

Q: dx =In[F(x)]+C•What is F(/3) if C= 0? nk+1) For (x+x³) (x Tan

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Q: sec. sec A x2 + 1 x2 +1 2x Option 1 Option 2 x² – 1 x2 – 1 - 2x Option 3 Option 4

A: Given secA+tanA=x To find secA:

Q: If 5 tan 0 – 4 = 0, then the value of 5 sin 0 – 4 cos 0 is 5 sin 0 + 4 cos 0 - 3 Option 1 Option 2 1...

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Q: 1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 5. y = XArctanx - In Vi+x

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Q: 2. Evaluate lim -4x+1 X-1 x-1

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Q: has

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: he function C(x) = 0.002x² + 80x + 8000. (a) Find the average cost function C. C = (b) Determine the...

A: Topic:- application of derivatives

Q: Given cost function C(q)=q3−125q2+2600q​, what quantity minimizes average​ cost?   It would be enter...

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Q: Evaluate the integral. Answer should be expressed as a decimal value (5 decimal places, example 0.01...

A: Put y =5secthetha and solve it. 

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

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Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

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Q: 2x +4 9. Let f(1) = Find the equations of the horizontal and vertical asymptotes of %3D 5x +2 y = f(...

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...