1. Determine the number of degree and the end behaviours of the polynomial y = (x + 5)(x − 1)(x + 3). Show all work.

Q: Solve the following initial-value problems starting from yo dy dt A. = est y = = : 7. At what time…

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Q: q 0.2 0.4 0.6 h(q) 809 662 542 0.8 444 Estimate h' (0.6) using the table above. h' (0.6)≈ 545 Submit…

A: To estimate h'(0.6) we have to, 1. Find the slope from q=0.2 to 0.6 2. Find the slope from q=0.6 to…

Q: f(x) Find the extrema and possible points of inflection (if any exist) of In x X

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Q: QUESTION 1 Consider f(x)=x²+2x+1. Which of the following is true? Of is continuous at all C; given…

A: Let's solve.

Q: M8 k=1 сos лk Let ak > 0 represent the magnitude of the terms of the given series. Identify and…

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Q: Find the critical point(s) of the function y = 0 - 2 cos (0) at 0 € [-3, -π]. (Give your answer in…

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Q: List the terms of the sequence below from n = 1 to n = 5

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Q: dy The following differential equation is separable as it is of the form dx dy e6x + 5y dx dy h(y)…

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Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

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Q: Find the critical points of f(x) = -6x² + 2x² - 9 and apply the Second Derivative Test (if possible)…

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Q: Question 8 If f(x) = x² + 1, choose the correct value of f(x + 1). (a) f(x + 1) = x² + 2 (b) f(x +…

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Q: Given the function g(x) = 8x³ + 12x² − 288x, find the first derivative, g'(x). g'(x)= Notice that…

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Q: a B Find: b = Note: Triangle may not be drawn to scale. Suppose a = 10 and A = 60 ° C= C B = b A

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Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: Let's solve by using newton's law of cooling.

Q: Question Use the first derivative test to find the location of all local extrema in the interval…

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Q: Evaluate the following integral 8xyzdV in the region R where R: 2<x<3, 1<y<2, 0sz≤1

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Q: QUESTION 1 Find the absolute maximum and minimum values of the function in the given interval. Use…

A: This is a problem related to maxima and minima of the function. please follow the procedure given…

Q: The bearing of a ship from a lighthouse was found to be N 18° E. After the ship sailed 5.5 miles due…

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Q: f(x) = 1 f(x) = x f(x) = cos(2x) f(x) = ax

A: Solution is given below:

Q: y=x^3+5

A: Please refer to the image below

Q: Verify the identity. cos(+ x) + cos(-x) = = COS X X- cos(+ x) + cos(-x) = 2 cos ( 2 COS ( + + x + =…

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Q: ermine whether the sets S₁ and S₂ span the same subspace of R³. S₁ = {(4, 3, 4), (0, 4, 4), (8, 10,…

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Q: Metric units only Mount Everest is 29,029 feet high. What is the height of Mount Everest in…

A: Given   Height of Mount Everest =  29029 foot

Q: Sketch the region enclosed by the given curves, y = 3x² and y = x² + 4. Find the area of the region.

A: Given curves are y=3x2 and y=x2+4.

Q: Determine whether S is a basis for the indicated vector space. S = {(1, 0, 0, 2), (0, -1, 0, 2), (3,…

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Q: We assume that in a village there are farmers, carpenters, and tailors, who provide the three…

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Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

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Q: Consider the following equation. y Find any intercepts. (If an answer does not exist, enter DNE.)…

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Q: 1. Find the solution of the differential equation. y’’-6y’+9y=0 theme: repeated roots; order…

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Q: 0 6. Consider the equation 2³-1-3x, which has a unique root between x = and = 1. Apply Newton's…

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Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

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Q: A tree grows at an angle of 3° from the vertical due to prevailing winds. At a point d = 43 meters…

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Q: 9. (True/False) If f(x,y) is a continuous function on a closed, but unbounded set D, then f(x,y)…

A: False     because there are some functions which are continuous on a closed, but unbounded set,…

Q: S 3/ 2 V x 3/2 -dx X +4

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Q: Let f(x) = 3x² + 2x − 10; a = 1. 1. Use the definition to find the derivative function f' 2. Find an…

A: The given function is: f(x)=3x2+2x-10

Q: A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (see…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

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Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2π). Enter your answers…

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Q: lim x →3 2+e* sin(7x)+x+1

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Q: Evaluate using Reduction Formula 1. f cos7x dx 2. f sin³x dx cos x x dx n cos-1x sinx + 1 sin" x dx…

A: We use the given formula for sine to evaluate the given integral. But the given formula for sine is…

Q: Explain why S is not a basis for P₂. S = {1, 6x, -2 + x²,4x} O S is linearly dependent. OS does not…

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Q: ty" - 2ty' + 2y = 5t², t > 0, y₁(t) NOTE: Use c₁ and ce as arbitrary constants. =

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Q: Find the period for the graph y = 3T 3T 4 12 T 3 2 ㅠ 3 cot 3x + 품

A: We can find the answer as below.

Q: gral Izyds xy ds ere C is the spiral r = e from 0 to 0 = 2π. =

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Q: Verify the identity. sin 5x √√2 (sin x- cos x) Write the left side in terms of a sum or difference…

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Q: +∞ Σ n=1 2-1 √n

A: Let's solve by using integral test.

Q: 198 5k Σ 4 k=1 7k +3 loose the correct answer below.

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Q: Find the inflection points of f(x) = 3x4 + 17x³9x² + 4. (Give your answers as a comma separated…

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Q: the limit 25 - x 5-√√x Evaluate lim x 25 →

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