Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is horizontal. Upload your work in the next question. The x-coordinate of the point, rounded to the nearest hundredth, is

Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: 27 4 1422 Evaluate the integral: 36 - (A) Which trig substitution is correct for this integral? Ox =...

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Q: 4. S(x) = log,(-x)

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Q: log (x+8) ) dx 3

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Q: 1. Show that c(t) = (e¬t cos t, e-t sin t), 0 <t <∞ has finite length and calculate its valu

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Q: y = (3 + e“)“ dy Use Logarithmic Differentiation to find dx dy

A: We are asked evaluate the derivatives

Q: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³...

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Q: Let f(x) = V-14 – r and g(x) = z - 9x. fog= The domain of fogis:

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Q: x² +4x-12>0

A: Solve the inequality, and write the solution using interval notation . x2+4x-12&gt;0   

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x...

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: Compared to the graph of y = 3 sin x, the graph of y = 3 sin(x + 1) – 2 is shifted %3D O 1 unit to t...

A: Given : To compare the graph of y=3 sin x and y=3 sin (x+1)-2 and to identify where it has been shif...

Q: Evaluate the integral: ap- (A) Which trig substitution is correct for this integral? Or = 10 tan(0) ...

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Q: Suppose that g is a function that is differentiable at x = 4 and that g(4) = -2 and g' (4) = 1. Find...

A: We are asked to find the value of h'(4)

Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = :3...

A: We are asked to find the volume of the solid.

Q: Points A and B have position vectors a = 2i + 3j – 4k and b = 2i – j + 2k. Point C has position vect...

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Q: Problem 3. Find an equation of the circle whose endpoints of a diameter are (-1,3) and (7,–5).

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Q: 13т 2) cot 3

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: Find one or more values of each of the following complex expressions

A: We need to compute the value of the given expression.          e2tanh-1i

Q: Evaluate the infinite series by identifying it as the value of an integral of a geometric series. (-...

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices: (±...

A: We will find the equation of the hyperbola when vertices and asymptotes are given.Below find the det...

Q: use the vortex (h,k) and a point on the graph (x,y) to find the general form of the equation of the ...

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Q: Find the volume of the solid generated by revolving about the line y=-1 the region bounded by the li...

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Q: -4 3t° 3t+ i dt

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Q: Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by th...

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Q: If f(x) VI 2 find: VI + 2 f'(x)= f'(2) =

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Q: Use implicit differentiation to find dy/dx. 18) y cos = 4x + 4y - y sin A)- cos B) sin 4y 4y2 D)- si...

A: 18.we have y cos(1y) =4x+4y⇒dydx(cos(1y) )+ysin(1y)×1y2dydx =4+4dydx⇒dydx(cos(1y)+1ysin(1y)-4)=4⇒dyd...

Q: 5. After a new version of a certain type of computer is released, the total worldy profits (in billi...

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Q: Write the quadratic function in standard form. f(x) = x2 - 6x f(x) = (x-3)2 +4.5 x | Sketch its grap...

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Q: Solve correct to 2 decimal places. 9(5)* = 42 %3D

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Q: Activity 2.Solve for the derivatives of the following functions. Write your answers on a separate sh...

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Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: f (x)=-5* +3 %3D

A: Given query is sketch the graph and find the asymptotes.

Q: Find the slope of the curve at the indicated point. 25) y = 3 ,x =7 8 + X 1 B) m D)m -- 1 A) m = C) ...

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Q: af af and ax 'ay L: f(x.y) = (x + y)(2x + y)² Compute %3D дхду

A: Given that: f(x, y)=(x+y)(2x+y)2

Q: Using calculus, find the dimensions of a cardboard box without a lid that has a volume of 32, 000 cm...

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Q: Suppose g(x) = f(3+4(x – 5)) and f'(3) = 4. -

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Q: 4. Find the exact arc length over the interval. from x = 2 to x = 3 16x2 a. x = b.x =y* from y = 1 t...

A: As per the bartleby guidelines when student post multiple question we have to solve first one.so, i ...

Q: 2. Consider the graph of g(x)-2+3-1 a Lt anyalues at which g)net dafferentiable Setch the tangent li...

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for...

Q: 8x+5<15

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Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: Find the vector form of the equation of the line that passes through the points (1,-3,2) and (4,2,-1...

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Q: lim 9-t 3-1T

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: Find two numbers whose difference is 154 and whose product is a minimum.

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Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: 2 cos 0 2. Write r = as an equation in rectangular cos 0-sin 0

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Q: Evaluate 1 V4- 2 dx O a. sec () + C O b. tan (:) + C O c. sin () +C O d. cos 1 () + C

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Q: For the following equation, show solution for determining the coordinates of the point of intersecti...

A: The given problem can be evaluated as follows:

Q: (y - 1)2 (x +3)2 =1? Which of the following is true about the hyperbola |- 4 9.

A: Follow the procedure given below.