Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer If necessary. If an answer does not exist, enter DNE.) g(x) xe

Q: The hypotenuse of right triangle is 74 meters long. The difference between the other two sides is 46…

A: We know that for a right triangle , Let hypotenuse is c and other two sides are a and b. Then…

Q: True

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Q: f(x, y) = y^/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = = (21+ √51) U= (b) Evaluate the…

A: Topic:- application of derivatives

Q: Find the derivative of y = (2x³-6)*(3x-2)2

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Q: 7.) A lot in the shape of a quadrant of a circle of radius 100m. Find the area of the largest…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent find the limit. If it…

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Q: II) Let f be the piecewise function f(x) = x³ + 6x² + 8x x+2 1-x-2, -, x≤-1, x -2 -1 1 1) Sketch the…

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Q: Find the exact sum of the following series In 32 3 5 ¤ In ( ² ) - — / 2 12 In 3 (²/²) - 1²/ 2 ○ In…

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Q: The series is divergent. Select one: O True O False n Σ (-3)" n=3

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Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

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Q: x²-x-5 x(x²-x-2) Evaluate - dx

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Q: 1. Condense 3 log, x + -log(x-1) - 4 log(x + 2) into one logarithmic expression. 2. Solve 7³t = 100.…

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Q: 6. Revenue: Pacific Sunwear The annual revenue of Pacific Sunwear of California over the period…

A: Concept: Here the annual revenue is given by the expression p(t)=-0.075t+0.975+0.75 Where t is the…

Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

A: Given that functiony=x+1  ,4≤x≤10Solution :y=x+1y'=12x+1y4=4+1=5y10=10+1=11local maxima at x=10local…

Q: Its saying the solution is wrong

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Q: q+m (v) m Submit Question 2 1 -6 -5 -4 -3 -2 -1 -1 2 3 A 16 5 1 Find an equation for the graph…

A: General equation  m=AsecBv-c+d Now we need to find A,B,C and D

Q: Let y = (2x + 3 sin(x))4. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…

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Q: Consider the following equation. =(21+√51) f(x, y) = y^/x, P(1, 3), u = (a) Find the gradient of f.…

A: Given :fx,y=y4x

Q: If y=-2x² + sin x solve for the differential of dy.

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Q: After receiving his first income, Mr. J invested P20,000 in a bank for his future family. The annual…

A: This question can be solved by applying the concept of compound interest.

Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

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Q: b\ Fill the blanks 2/3 (1) Suppose you have a matrix x = [33], 13 4/5/61 2) Suppose you have a…

A: To fill in the blanks.a Suppose you hava a matrix x=12343456, then x...=35.b Suppose you hava a…

Q: Identify the function represented by the following power series. (-1)kkx² k=1 Click the icon to view…

A: To identify the function represented by the following power series.∑k=1∞ -1kkxk+24k

Q: Two bacteria cultures are being studied in a lab. At the start, bacteria A had a population of 60…

A: Topic:- exponential growth function

Q: Let v = (2, -1, 5) and u = (5, -7,3). Find 37 - 5u

A: We have to find 3v - 5u

Q: = xn For the function f(x) = cos(x), write Newton's formula as n+1 = F(xn) = solving f(x) = 0. Type…

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Q: 1. Rewrite log(100) = x as an equivalent exponential equation. 2. Rewrite 4* = 64 as an equivalent…

A: 1  log100 = x equivalent exponential function  for exponential function we take both side…

Q: x² = 2y²(y-1) y² = 2x²(x+1) x² = 2y²(y+1) y² = 2x²(x-1) dx (3x²-2-²) 4

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Q: tor. f(x,y)= In (8+3x²+3y²); P(3,-1); (3.2) d the gradient of f(x,y) = In (8+3x²+3y²). xx,y)=

A: Topic:- application of derivatives

Q: ∞ Σ k=1 23k e-0.38k2 accurate to 10−5

A: We will find.

Q: Revenue The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research…

A: Given ,  The Better Baby Buggy Co. has just come out with a new model, the Turbo The market research…

Q: The area of the surface obtained by rotating the curve y = √√x + 1, for 0 ≤ x ≤ 2, about the x-axis,…

A: Given :

Q: Find an equation of the line that passes through the points. (-2, 8), (1,5) Sketch the line. O No…

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Q: (5) (a) For all n € N and a + 0, show that k=1 11 1 1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the average rate of change of the function on the interval specified. g(x) = 6x3 − 7  on  [−3,…

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Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

A: Given :r=5ar=7bsecθ0<5a<7b

Q: 30. Paolo's wife Cristina is not happy about the play area he proposes to build for their children.…

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Q: Question* An equation of the tangent plane to the surface x² + xy +22²-3-0 at the point P, (1,1,1)…

A: Basic differentiation is used along with the stated formula

Q: What is the integral that represents the length of the curve from x 2 to x = 4. Select one: 4 O…

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Q: What are the three cases we must consider for finding horizontal/slant asymptotes?

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Q: Which of the following is the normal line at the point (-1, 1, 1) to the surface 22 - 2y? - 35 - -4…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question.

Q: - Q1. If g = xy — yz — zx and F = x²y ī− 2 y²zj – z²x k, find F. grad g and cross product of F and…

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Q: - lim x²ln x x->0+

A: Solution of given question is written in below steps.

Q: A cable hangs between two poles that are 70-ft apart. The two poles are both 40 foot high. Sag is…

A: Let's solve length of cable.

Q: solve the differential equation dy/dx=2x^4sqrt of y, y.0

A: Solution of given question is written in below steps.

Q: g(x) = cos ¹x+ x 1-x²

A: Topic = Derivative

Q: 5) You drop a basketball from a height of 8 feet, and let it fall and bounce. Every bounce, the ball…

A: We have to find the distance travelled.

Q: TRUE or FALSE: Vectors u = (-4, 1, -2) and = 1 7 1 1

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Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1) and R (1, -1, 1). Find the perpendicular…

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Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

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