Find the points function' that have horizontal tangents when f(x) = x°-6x 6 On the graph of the

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

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Q: Find the abscissa of the centroid of the region between the parabola y = 6 − x2 and the line y = 1 −...

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Q: 37. Electricity The combined electrical resistance R of two resistors R, and R, connected in paralle...

A: Given: Resistance R1 , R2 ,and combined resistance R are related as:1R=1R1+1R2where,  R1=50 ohms  , ...

Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

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Q: (1) The number of organisms of a certain bacteria at time t can be modeled according to the function...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Since I can not b...

Q: Given the following values f (x) and 2 = e and W = - 1 and A Determine the value of u2. A H2 B) H2 =...

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Q: (4) Y dy ху+у? dx x2

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Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...

Q: f(x) = 1 and lim g(x) 15. If lim = 2, then evaluate each limit. x→0 x→0 X f(x) b. lim x→0 g(x) a. li...

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Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt  

Q: ax+: xp:

A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C

Q: 14) Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x...

A: Let's find. 

Q: Find the plane determined by the intersecting lines. L1 x= - 1 + 3t y =2+4t z=1-t L2 x= 1- 4s y = 1+...

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Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A: Given:  An environmental study in a community shows that the level of a certain pollutant in the air...

Q: 3. Find the domain or range of the following functions f(x)=x-|X|. Find the range. f. f(x)=. 2-x. Fi...

A: Given:    f. fx=x-x Range:    The set of values of the dependent variable for which a function is de...

Q: Describe the end behavior (long run behavior) of f(x) = x° As x → 00, f(x) → ? - As x → 00, f(x) → ?

A: The given function f(x)=x6

Q: p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are the possibilities ...

A: Let's find. 

Q: Calculate the work W against gravity required to build a right circular cone of height 3 m and base ...

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Q: Consider the function below. Use it to find the following limits. ² – 49 F (x) |r – 7|

A: Given that: F(x)=x2-49|x-7|

Q: 2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O n...

A: Given fx is continuous between a and b

Q: The sides of a rectangle are formed by vectors A and B with |A| =2 and |B| = 5. Determine the area o...

A: topic - vectors

Q: 1. Using the table of values, estimate lim 3x x-2 а. 3 b. 6 с. 2 d. 5 2. Using the table of values, ...

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Q: Suppose f'(x) = p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are th...

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3e3* dx 1. Ve3x – 1...

A: We will solve the given indefinite integral using the u- substitution.Below find the solution in the...

Q: Inverse Function: One-to-one   Running burns about 13 calories per minute. a) Determine the type ...

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Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

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Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: We can solve all the three parts as below.

Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible integ...

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not ...

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Q: Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, J...

A: Here we can verify the answer as below.

Q: Given an initial value problem y = 2xy, y(1) = 1; y(1.5). (i) Find an explicit solution of the initi...

A: Given IVP y'=2xy , y(1)=1   , y(1.5) =?

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = V1 + V1-x

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 X-intercept...

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at x=2...

Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of poi...

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: Let r(t) = -6t2 î+ (t² +3) ĵ + 7 k for t > 1. Reparameterize in terms of the arc-length parameter.

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Q: Determine the following limits. If infinite, specify co or -co. If an answer does not exist, explain...

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Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

Q: -2/80 ->

A: Given: -2, ∠30  

Q: В. Find all vertical and horizontal asymptotes. 2x2 +2x+1 15. f (x) = 5x3+3x-5

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Q: 3. In (cose) tane de

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Q: S Vxi + 2x² + x dx

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Q: discrete math How many 5 digit numbers can be written with the digits {1, 2, 3, 4, 5, 6, 7, 8} if t...

A: Given set of digits={1,2,3,4,5,6,7,8}  number of digits in main set n=8 We have to make 5-digit numb...

Q: dy (13) 2+ 3y = 3x²e¬3* dx

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Q: The path r(t) = (t – sin t) i + (1- cos t) j describes motion on the cycloid x =t- sin t, y = 1- cos...

A: Here, the given curve is: r(t)=(t-sin t)i+(1-cos t)j

Q: y' = 4x(2y-y)

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Q: Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2...

A: We know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2e-x+e3x

Q: ずx 1

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Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

A: