Use the First Derivative Test to find relative (local) maximum points points, if any, of the given functions. Determine the open intervals on which the function is increasing or decreasing. 1. a) y = x' - x

Q: Evaluate 2.014 using a linear approximation or differential. Enter the value rounded to the nearest ...

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Q: 2+ x², ={ 1 2* +2, 4 -2 <x<0 f(x)dx; f(x) 0<x<4

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Q: CHAIN RULE DERIVATIVES 5.).968)= (7-6W)" %3D 6. 120° (70 +2)" 7) g(x) = 13 bc 5o+ 4c+ 9 }

A: As per bartleby guidelines we only give first question answers. 

Q: dy 2y + cos dx ||

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: A. What would be the initial population of the mosquitos colony? B. What is the population of the co...

A: Substitute x= m in the equation to get p(m)

Q: Peter likes to drink coffee once its temperature reaches 60 degrees Celsius and will not burn him. I...

A:   note : i can ans 1st and 2nd part and remaining part not related to this question so pls reroute i...

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2500q​, what is the minimum marginal​...

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Q: y'dx +e* dy = 0 e* +y =c Ans.

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Q: Find the area of the region bounded by the curve y=1-- x² аnd the x— аxis. (A 8 sq. units B) 4 sq . ...

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Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Consider the points A(3, –3,5), B(5, –5, 2), C'(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of t...

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Q: dx For - = In[F(x)]+C•What is F(/3) if C = 0? (1+x;_u®_L x)(;x+x) 6. + + -15

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Q: A particle moves in a straight line according to a law of motion s = f (t), t>0, v %3D in seconds an...

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Q: (x+1)' sin x (c) lim- 2x x-0 (d) sinx lim 0 5x 20 +sin e lim (e) 40 бх -sin 2x lim X-0 2x+3sin 4x (f...

A: Using l hospital rule evaluate limit. 

Q: 1) Which set of values for x should be tested to determine the possible zeros of the function f (x) ...

A: We need to find possible x values that needs to be checked where function is zero.   NOTE - As per B...

Q: 6) Solve the following inequalities. a) x³ – 7x – 6 < 0 b) –2x³ + 8x² – 8x < 0 - -

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Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C a...

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Q: In the expression 5 +2 tan(30 + ) = 3 where 0 < 0 < a, then 0 in radians will be i. 36 17z ii. 36 29

A: topic - Inverse trigonometric functions

Q: 2nd deivative vong impliat dipperentiation x'y +y*x = X. -2

A: We can find the 2nd derivative of the given expression as below

Q: esecx+ln tanx 9. cos x

A: topic - indefinite integral

Q: If cos? 0 – 3 cos 0 + 2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is V3 8...

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Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

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: dx -= In[F(x)]+C. What is F(/3) For (x+x³) (x Tan-lx+ 1) 3. B.

A: We have to choose the correct option according to the given information

Q: Solve for the angle in the equation. * a. sin (30 + 72)° = cos 48° b. 4 sin? (§) + 8 cos () – 7 = 0 ...

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Q: Find divergence the vector A (div A) where (A=xz^2+ 3xyz) at a vector (1, * 2, -1)

A: Let's find. 

Q: Find the area bounded by the x- axis and the graph of the function f (x) = 4x² + 8x +1,0 <x 3. (4 II...

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams we...

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Q: Substitution Method (15) (x² – y²) - xy = 0

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

Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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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: In the city of Los Angeles, California, it is now to be said that it is the city with the most mosqu...

A: The population of mosquitoes in Los Angeles is given by, P(t)=33t3+15t2+6 t is in months and P is in...

Q: Give a recursive definition for each of the following. (You don't need to prove your definitions are...

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Q: Reduce the equation 3x? + 3y – 2x + 4y – 7 = 0 to standard form. D. (x- + (v +3² = 26/3 A. (x – 5² +...

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Q: Verify that the series nº + n=1 satisfies the conditions of the Integral Test, then use the Integral...

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Q: 10* -dx may be written as Aln secB*+ tanB*| +C. where A, B, and C are constants not equal to zero. E...

A: ∫10xcos 10xdx Substitute 10x=u⇒10xln 10 dx=du⇒10xdx=1ln 10du =∫1ln 10ducos u=1ln 10∫sec u du=1ln 10l...

Q: 2x + 3 dx

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Q: Car 1 is heading due south from Mathtown at a rate of 44 miles per hour. Car 2 is heading due west f...

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Q: Joey plánted a tree in his yard. At the time of planting the tree was three years old and measured 0...

A: Given data:

Q: 10. a d The general antiderivative of (3x2 – 4) 2x2 can be written as -x" -x" + x" + C. What is the ...

A: On solving this we will get

Q: FIND THE ARG CZ) OF THE COMPLEX NUMBERS 2

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Q: ·sec-x)" sec'x 23. What should be the value of A for -dx to be integrable using the formula | u" du?...

A: the integration of the integral is (2-sec2x) eln(pi/e)sec3x/Sec(3A-x).

Q: CHAIN RULE DERIVATIVES glx) = (2 -7x)" %3D 2.) G) - 52 3) y- (6+5t-t) 4.),9(x) = (4u* – eu

A: As per guidelines we can solve only one question at a time so the derivative of first  question can ...

Q: Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mi...

A: Given: The Saddle Mine costs $16,000/day to operate. The Horseshoe Mine costs $16,000/day to operate...

Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

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Q: 7. y = tan e3x + etan3x

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Q: u = 2i + 3j + k v = i+j+ 4k w = i+ 3j + 8k

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Q: What is the integrable form of / sin-c cos-sin@ do? 2 -2 | sinu du 2 | cosu du 1 – u² du u² – 1 du

A: In this question we have to find Integral form of the given Integral.  

Q: hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the r...

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