The domain of the function f(x) = √√e−4 – elx−3/−x is -4 е

Q: 1. Consider the curve given by xy² - x³y = 6. dy_3x²y-y² dx 2xy - x³ a. Show that = b. Find all…

A: Topic = Derivative

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1100 0.005x2 - 0.01y2,…

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Q: Find the absolute extrema of the function f(t)=2cos(t)+sin(2t) on the interval [0,1/2] using the…

A: We want to find absolute minimum and maximum

Q: c) Describe the set of all 7. For a function f:A → B, the statement "f is surjective" is defined by…

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

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Q: On the moon the acceleration due to gravity is 1.4 m/s2. A ball is thrown straight up at an initial…

A: we need to find out the differential equation.

Q: If f(x)= 5 sin x           1+cos x  Find f'(x) Please answer ASAP and write neatly thank you.

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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: If log5 (log₂ (log3 x)) = 0 then x equals O (A) 0 O (B) 9 O (C) 5 O (D) none of the other answers is…

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Q: xdy +y=xy dx 3

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Q: (1) Σ --0 k k k! εξαφά

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Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. 114 O C. 24 3 2√x +C 23 --x² + C 3 O b. O d.…

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Q: Find the dy/dx: y=4/x^3

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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: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = -5t¹+30t².…

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Q: k=0 4(-2) is an alternating geometric series, which diverges. converges Σ 4( - 2)² k=0 Enter DNE for…

A: ∑k=0∞ 4-2k

Q: Consider a trapezoid that has a constant area of 300 cm². The height of the trapezoid is increasing…

A: Consider a trapezoid that has a constant area of 300 cm2.The height of the trapezoid is increasing…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. S 32x² (x-24)(x+8)²…

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

A: NOTE: Refresh your page if you can't see any equations. . the initial temperature of the turkey is…

Q: Əw Find when r = 3 and s= - 3 if w = (x+y+z)²₁ x=r-s, y = cos (r + s), z = sin (r + s). ər Əw ər |r=…

A: We will find as shown below

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

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Q: 2. Solve the equations a. ( b. ( b. i ) e²x-7e²-8 = 0. ‚) 2(3x+6)_g(1-x) = 0. ) log (x)+log (x − 6)…

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Q: Condense the expression to the logarithmic of a single quantity 1/4{log7t + 3 log7(1-t)} - log7 (7

A: We have to find out

Q: Differentiate f(x)= In(sin^2 x). f'(x)=? Please answer ASAP and write neatly thank you.

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Q: A plane flying horizontally at an altitude of 3 mi and a speed of 560 mi/h passes directly over a…

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Q: Use sigma notation to write the Maclaurin series for the COS TTX.

A: Maclaurin series of f(x) about is given by, f(x)=f(0)+(x-0)f'(0)/2!+(x-0)²f"(0)/3!+...

Q: A particle moves along a line so that its position at any time t > 0 is given by the function; x(t)…

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Q: Use Fubini's Theorem to evaluate the double integral ſf f(x, y) d.A, where f(x, y) = 2x − 4xy² – 8y…

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Q: Complete the conversion: Input you answer in standard notation. 6.26 kg = g

A: solution:-1 kg=2.2 pounds6.26 kg=6.26×2.2 pounds             =13.772 pounds

Q: Evaluate So 1 y=x²/3 xe dy dx

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

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

Q: f(x)=x√√x² +9 defined on the interval -5 ≤ x ≤ 6. f(x) is concave down on the interval x = f(x) is…

A: To find the extrema

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 16 ft³. If the…

A: A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base…

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 7…

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

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Q: 0.022t The exponential model A = 752 e describes the population, A, of a country in millions,…

A: Given that A=752e0.022t Here to determine the year when the population will be A=1362 million…

Q: How did you get the rewrite from sin^2(x)/sqrt(1+cos(x))

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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 slope of the line passing through the points (3,5) and (3,-2). a) The slope is b) Select…

A: The line passes through the points (3,5)  and (3,-2)

Q: 1. Complete the square to algebraically find the key features of the quadratic function. y=-3x² - 6x…

A: As per our guidelines we are only supposed to solve first three parts of questions

Q: At what points is the function y = X +8 x² - 15x + 56 continuous?

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Q: Prehistoric cave paintings were discovered in a cave in France. The paint contained 3% of the…

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Q: Consider the function f(x) = 12x5 + 60x4- 100x³ + 4. f(x) has inflection points at (reading from…

A: The function is  f(x)=12x5+60x4-100x3+4

Q: Calculate the derivatives using implicit differentiation: and ST of (TU-V)² ln(W – UV) = 1 at (T, U,…

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: 51. 53. Soz z dz (a² + x²)³ dz LAVET A

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Q: By the alternating series test, the series converges. Find its sum. First find the partial fraction…

A: The objective is to find the sum of the series.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate . If not,…

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Q: A bank features a savings account that has an annual percentage rate of r 3.3% with interest =…

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Q: 8)In the following questions, determine the behavior of h(x)=7x3+6x−x3+10x.

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