Q: Given: (2x³ — x − 1) ÷ (x − 1) = 2x² + 2x +1 - Therefore: (2x² + 2x + 1) ÷ (X − 1) = 2x³ O True O…

A: The statement is false .

Q: A particle moves in a straight line with velocity 10 - 4t ft/s. Find the total displacement and…

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Q: Determine the value of (gof)(-1) when x+3 f(x) g(x) = x² - 1. T

A: Topic = Functions

Q: esigning a Norman Window  A Norman window has the shape of a rectangle surmounted by a semicircle.…

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Q: 1. At all times, the length of the long leg of a right triangle is 3 times the length x of the short…

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: (2x+3) y'= y + (2x+33 when x = -1, y = 0 11/2

A: Topic = Differential Equation

Q: 1. Given f(x)= = 10x 5 4x + 5 and g(x) = 2x + 1. a. (6 points) Find and simpify fo g(x). b. (3+3+3…

A: Given functions are fx=10x-54x+5, &amp; gx=2x+1 We need to find following f∘gx f∘g0,g∘f0,f∘f0…

Q: 5. Determine the point(s) at which f(x) = x³ + 2x² + 3x+5 has a horizontal tangent line. Then…

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Q: If a company spends r million dollars on research, it sales will be s million dollars, where r and s…

A: If a company spends r million dollars on research, it sales will be s million dollars, where r and s…

Q: x³ +27 lim 2-32+52tô +5+6 x→-3

A: Given query is to find the limit of the expression.

Q: Find the domain of function s(x) = √-8 + 10x - - - 3x². Write your answer using interval notation in…

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Q: Solve the DE. (x³ + xy²-y)dx + (y³ + x²y + x) dy = 0 O arctan(‡)=C − x y O arctan (=) = C - x² - y²…

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Q: Complete the following: In √√√x(y² + z²) = C' ln x + D ln(y² + z²) with C' = and D =

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Q: Describe the domain and range of the function. f(x, y) = 9x² - y Domain: {(x, y): x ≥ 0, y ≥ 0} {(x,…

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Q: If f(x)= e^2+In(9) then f" (x)=? Please answer asap and write neatly Thank You.

A: see below the answer and explanation

Q: A continuous function y = f(x) is known to be negative at x = 2 and positive at x = 5. Why does the…

A: Intermediate value Theorem :-If fx is a continuous on a,b,then for every k between fa and fb,there…

Q: The population of a city is modeled by the equation P(t) = 338,343e0.1t where t is measured in…

A: Topic = Algebra

Q: HOMEWORK NO. 1 (A) Eliminate the arbitrary constants. 4. y = C₁ + С₂e-4x (B) Find the differential…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: แบบฝึกหัดที่ 1 สูตร m=slope = f'(x₁) - lim m=slope = f'(x) - lim สมการเส้นตรง y = mx+c 15 HO X x-2 3…

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: Question Determine the interval of convergence for the power series that can be used to represent…

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Q: 8 Evaluate; give your answer in reduced proper fraction or mixed number: 1- 9 + G|5

A: 189+535

Q: Prove the identity. cos (x-y) sinx-sin (x-y) cosx = siny Note that each Statement must be based on a…

A: The objective of the question is proving the identity.

Q: A particle moves along the x-axis so that at time t> 0 its velocity is given by v(t) = 18t² — 36t.…

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Q: Write the equation of the line in slope-interecept form that passes through (4,6) and (4,-3). Then…

A: To find the equation of the line passing through given points

Q: 2. A cellphone company charges Php 25 for at most 2gb of data used in a month, and an additional Php…

A: The answer is in step 2.

Q: Find the inverse for each of the following functions. f(x) = 9x + 1 f-¹(x) = g(x) = 12x³ - 5 g-¹(x)…

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Q: Consider the space curve r(t) = (3 sin(- 4t), cos(-4t), 2√2 cos(-4t)). a. Find the arc length…

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Q: Estimate the absolute maximum value of the function f(x) = x³ + x² to two decimal places on the…

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Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 30 m/s…

A: As per our guidelines we are suppose to solve only three sub-parts of a question if the multiple…

Q: What is the least possible degree of the polynomial graphed above?

A: We know that ,                          Least degree of polynomial is given by n+1 . where n is…

Q: A population of insects increases at a rate of 270 + 14t + 1.5t2 insects per day. Find the insect…

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Q: Suppose that f(x, y) = x² − xy + y² – 5x + 5y with D = {(x, y) | 0 ≤ y ≤ x ≤ 5}. - 1. The critical…

A: need to find out the critical point point of absolute maximum, absolute minimum.

Q: Let f(x)= (7x-5)^4                (5x+2)^5 find f' (x)  Please answer ASAP and write neatly thank…

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Q: verify that f(x)=e-x satisfies the conditions of the mean-value theorem on the interval [0,2] Then,…

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Q: 5 Given k (x) = 6x +x, answer the following: Part: 0 / 4 Part 1 of 4 (a) Find k(-x). *(-x) - y

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Q: 1. Consider the DE d'y dx2 - 2 dy − 3y = −9x − 3, y(0) : (0) = ² – 1. - dr Verify that y =…

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Q: (A) Eliminate the arbitrary constants. 1. xsiny + x²y = c 2. ax² + x + y² = 0 3. y = cx + c² + 1

A: Derivate the given equations to remove the constants.

Q: C 1(10) QU

A: Given query is to find the value of the Indicated function.

Q: 4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g…

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Q: Consider f(x)=x^3−3x^2−9x+4 Note:Note: Use round parentheses for your intervals (open interval…

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Q: Find the area of the shaded region. 74 +3 sin(e) 0 414 D-1 41 2 32 2 41 2 EN

A: Topic = Area

Q: Find the distance between the points A(1,3,5) and B= (7, 12, 7).

A: find the distance between two point  this is the question of vector geometry  we have to find the…

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = [1,…

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Q: For each of the following integrals, does the Fundamental Theorem of Calculus (FTC) Part 1 apply…

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Q: y'-(3+anx)y = 1

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Q: A surveyor wants to know the length of a tunnel built through a mountain. According to his…

A: A surveyor wants to know the length of a tunnel built through a mountain. According to his…

Q: In(a) = 2, ln(b) = 3, and ln(c) = 5, evaluate the following: (a) In () = (b) In √b¹c²a-2 =

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Q: Please show your answer to 4 decimal places. - 4x² - y²-x+y Suppose that f(x, y) = e then the…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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