Q1. Which of these expressions is NOT factorised? А. X(х + 1)(х + 2) В. (х+ 1)(х+2) С. x (х + у) — (х - у)) D. x(x + 1) + (x + 1)'

Q: A 25-year-old woman burns 550t cal/hr while walking on her treadmill. How many calories are burned…

A: A 25 year old woman burns 550t cal/hr while walking on tradmill.

Q: Find the points on the curve where the tangent is vertical. x=1³-3t, y-t³-31²

A: First we find dy/dx

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

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Q: 구. ( 34 Cxtd) ax An 14 X? (X-1)

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: The idea of ratio test must be there to understand it properly. The explanation part is given below.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: ,2 -1 dx 2

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Q: what is the domain and range of f(x, y, z) = x + ln y + cos z (please explain)

A: The given function is:f(x, y, z) = x +lny +cos z x is defined for all real numbers. So The domain of…

Q: At how many points on the interval [-27, 2π] is the line tangent to f(x) = x + sinx parallel to the…

A: Using mean value theorem.

Q: 1. Find the minimum and maximum values of f(x,y) : = x²y on the ellipse 4x? + 9y? = 36. %3D

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: A particle moves in a straight line with the given velocity v(t) = 24 – 6t (in m/s). Find the…

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Q: Determine the arc length of the curve defined parametrically by x(t) = 6 +3t², y(t) = 6+2+³, Give an…

A: The parametric curve,  x(t)=6+3t2, y(t)=6+2t3, 0≤t≤1

Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x-1½ B. –0.5x-1Vx-1 C. –0.5 1…

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Q: Find the k component of (curl F) for the following vector field on the plane F=(xe^2y)i + (8ye^x)j

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Q: What is the monthly payment on a 20 year, $577,000 mortgage, with an interest rate of 6%, compounded…

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Q: The rate of change of the temperature, r(t), in an oven (in degrees Celsius per minute) t minutes…

A: To find out the temperature change using simpson rule.

Q: Let f(x) = Va (2 – x)2. Use the local linear approximation of f (x) at ro V0.99 (1.01)?. 1 to…

A: To use the linear approximation for the given function

Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2200t – 390,² where t is in…

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

A: Given query is to find the equation of the parabola.

Q: 9. 5- 8. 7- 4- h(x) 6- 3- 4 g(x) 3. 17 4 3. X-values 1 3. X-values 4 g(x) If f(x) then h(x) f'(1) =…

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: Verify Green's Theorem by evaluating both integrals v² dx + x² dy = / / dA ax for the given path. C:…

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Q: The equation of motion of a particle is s = t4 - 3t3 + t2 – t, where s is in meters and t is in…

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Q: dy dr a. r+y = 8 Find for the following=

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

Q: 3. A snowball is rolling down a hill, getting bigger as it goes. Assume the snowball remains a…

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Q: Which of these statements is False? А. (а?)3 — а6 Вв. а?а — а = a' a2 C. a3 = a-1 D. a? + a³ = a°

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Q: lim (x² + e-z)(z-¹ csc z) +0+*

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Q: 6. Find the intervals on [0,27) where f(0) = sin² (0) is concave upward/ concave downward.

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Q: QUESTION 2 Find an equation of the tangent to the curve at the point corresponding to the given…

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Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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Q: Let f (x) = x(8+6x). Evaluate the definite integral 1 rOF So f (x) dz. (F(1)]* Enter the value of…

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Q: 9. Sketch the region enclosed by the curves: y = x²-1, y = 3-x². Then set up, but do not evaluate,…

A: Area bounded by the curves :    If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

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Q: A person æ inches tall has a pulse rate approximately given by the function y = 590x-1/2 The…

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Q: 3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be…

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Q: d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: 1. Calculate the derivatives of the following functions. a) f(x) = In (In(x)) 4x3 b) g(x) =…

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Q: Determine the average rate of change of y in the function y = 2x³ + 7x² + 2x - 3 er the interval…

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Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Solve for the Maclaurin series. You can write the first 5 terms or express in summation notation…

A: Maclaurin series is expansion of function at x= 0.

Q: Use Green's Theorem to evaluate F. dr, where F(x, y) = (y - cos y, x sin y) and C is the circle (x -…

A: Solved below.

Q: Determine whether the alternating series converges. 31n k Σ(-1) k k=3 The series diverges.

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Q: D(x) = 62-0.1x

A: answer is in next step

Q: Find the domain of r(t) and the value of r(to). NOTE: Roumd your answer to two decimal places when…

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Q: Full Solutions 1. CHOOSE ANY TWO of the following problems and determine i) the Optimization…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Q5. Which of these statements is False А. (а?)3 — а6 в. а?а? — а 5 2.3 a a2 С. a3 = a¬1 D. a + a' =…

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Q: Find the surface area when the curve C = {(x, y): 0 ≤ x ≤ 2, y² = 2 − x} about the x-axis.

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Q: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which…

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Q: [6x? arcsin(x)]dx

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