10 -5x+1

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

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Q: Does the function y = r³ ever have a negative slope? If so, where? Justify your answer.

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Q: How many ways can a Captain, Vice-captain and team manager be chosen from a team of 22 persons

A: Given 

Q: where t is time. Determine the time of MINIMAL intensity, and the MINIMAL intensity.

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Q: Part 2: Accelerated Motion Distance Avg. Distance (cm) Time (s) Speed (m/s) Time (8) on level surfac...

A: Time(s) Distance(m) Speed((m/s) 0.6 0.2 33.3 1.74 0.4 22.9 4.65 0.6 12.9 5.78 0.8 13.84  ...

Q: A particle is moving with the given data. Find the position of the particle. v(t) = sint- cost, s(0)...

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Q: Find the Wronskian of the following: a) {x0.5,x-1/3} sin x coS X b) c) {x ln x ,x² In x}

A: As per our guidelines we are allowed to answer only three subparts of a question. Kindly repost the ...

Q: Find all critical points of the function f(x) = x ln(5æ). If there is more than one critical point, ...

A: The function is given by fx = xln5x To evaluate: The critical point of the function.

Q: Given a = 6t+ 18 and y 27t2 + 146 %3D da tf (*) dt cion dt dy (write the simplified answer) %3D da

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Q: Given x = 30t + 44 and y = 105t2 + 100 dx (i) dt dy (ii) # dt dy (iii): (write the simplified answer...

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Q: Which integration formula will evaluate ( sin²x+3)5 sin2r dx Show cemplete solution Attach e nicture...

A: Given : Integral (sin²x+3)5 sin2x dx

Q: 2. y = x3 – 3x? + 3 x concave up: (1, 0); concave down : (-0, 1); POI: (1,1)

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Q: 7V + x and make a guess about the limit indicated. Complete the table for f(x) = x + 8 Round the val...

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Q: Given æ = 11t – 10 and y = 121 sin t dy (i) dx dy (ii) dx? ||

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Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measured ...

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the gi does not exist, ...

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Q: Evaluate the integral using tabular integration by parts. 2 x° V2 x +1 dx +C

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Q: Find the general solution of (cos cos y + ycos x ) dx + (sin sin x – x sin sin y ) dy = 0 А. X cos y...

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Q: Find equations of both the tangent lines to the ellipse x2 + 4y 36 that pass through the point (12, ...

A: see below the calculation and answer

Q: Given z = 2 cos t + 33 and y = 8 sin²t dz (i) dt dy (ii) dt dy (iii) dr

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Q: Circumference of a circle is equivalent to O Volume O None of these O Arc length Area

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Q: 1. y = x³ -x?

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

Q: Evaluate the following definite integral 6x (1+ x*)³ dx

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Q: Step by step show that cosx and sinx are even or odd?

A: A function ''f'' is said to be even if f(-x)=f(x)A function ''g'' is said to be odd if f(-x)=-f(x)se...

Q: Decide whether to integrate with respect to x or y.  y = x3 − 7x,  y = 9x   Find the area of the re...

A: Area of the shaded region by the curves :        If f(x) and g(x) are two continuous function and f(...

Q: Consider the function f(x) = 2z- 3z. 0,-V The x-intercepts occur at I= NOTE: If there are more than ...

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Q: Given x = 22t + 47 and y 154t? + 144 da (i) dt dy (ii) dt dy (ii. dx (write the simplified answer)

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Q: Evaluate the integral. dt Select one: O A cos. |+ C O C-cos. O D.7 cos

A: Using substitution method.

Q: (b) Using Newton's divided difference method, find f(3.5) using the data bel f(-4) = 1245 f(-1) = 33...

A: The given data x -4 -1 0 2 5 y 1245 33 5 9 1335

Q: Determine the point(s) on the graph of y = where the slope of the tangent is

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Q: X-2 What can we conclude about the function f(x)= X - 3 O The limit of f(x) as x approaches 3 from t...

A: Given : f(x) = (x - 2)/(x - 3)

Q: 3 - 5æ4 5x4 6 dx x 4 x4

A: We have to find the integral

Q: In?(In(ar)) dr. a >0 -dx, a > 0 а. 2.x In(ax)

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Q: By using the definition of limit, prove that limx→-3 2x+9 II

A: solution is given below..

Q: Given x = 2 cos t + 24 and y = 2 sin t dx (i) dt dy (ii) dt %3| dy (ii) dx || ||

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Q: Evaluate the integral. x sec (3x) dx +C

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Q: L Solve for ) for each of the following implicit functions. Simplify your answer if possible. 1 r+ 2...

A: Given, 1 . x3+2x²y-3xy²= xy  2 .  x(x + y)²-(1-y)³ = xy

Q: and attached in your slk. A 20ft ladder leans agairnst the wall. The base of the ladder slides horiz...

A: Given:- A 20ft ladder leans against the wall. The base of the ladder slides horizontally away from t...

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

A: topic - rolle's theorem

Q: The length and width of a cardboard are 28 ft and 13 ft. We are going to cut out the corners and fol...

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Q: Given a = 12t - 31 and y 144 sin t %3D dy (*) 12cos(t) %3D da (6) da?

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Q: The graph of ax + b f(x) = (x+ 1)² has a horizontal tangent line at (-2, –1). Find a and b.

A: Given,           The graph of fx=ax+bx+12 has a horizontal tangent line at -2,-1.

Q: DATE Detcemine thc voluma of the colid obtained by rotating the region bounded by y=x* - 2x and.yox ...

A: This is volume by integration problem which can be solved using disc washer method

Q: Given z = 2t -41 and y=4 sin t %3D dy (i) da dy (ii) da?

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Q: Given a = 6t + 18 and y = 27t2 +146 %3D %3D da (*) dt %3D dt dy (write the simplified answer) %3D da

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Q: dx /1– x10

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Q: Find dy/dx by implicit differentiation. V xy = 4 + x?y dy dx %3D

A: Given,             xy=4+x2y

Q: Let a, h, and k be arbitrary real numbers with a + 0, and let f be the function given by the rule f(...

A: topic - quadratic equations

Q: Find the indefinite integral- cos t dt sin t

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Q: EXERCISE Sketch the graph.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...