dx √ ₁ (1-x²7/01/2 0

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

A: Topic = Differential Equation

Q: Evaluate the definite integral by the limit definition. [₁x -4 x dx

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Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

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

Q: Evaluate the limit using L'Hospital's rule if necessary lim (1 + 12) ² €-8

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Q: Find the simpler function for the function f(x)= 9x-36/3x^2-6x-24

A: To simplify the given function.

Q: Let r(t) = (-4t¹ - 4, 4e-2t, sin(-3t)) = Find the unit tangent vector T(t) at the point t T (0) = 0.…

A: Given; r(t)=<-4t4-4, 4e-2t, sin(-3t)>.

Q: A kite flying in the air has a 96-ft string attached to it, and the string is pulled taut. The angle…

A: Topic = Trigonometry

Q: Complete the table shown to the right for the population growth model for a certain country. k=…

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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: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: The population of a certain state (in thousands) from 1994 (t = 0) to 2004 (t = 10) is modeled by…

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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: Find the equation (in terms of xx) of the line through the points (-1,4) and (2,-5) answer is -3x+1

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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: Let f(x) 07 O O 11 - S x² + 1 4x – 1 - if x ≤ 1, Determine the value of (ƒ o f)(1). if x > 1.

A: The answer is in step 2.

Q: Which of the following are rational functions? Select all that apply. f(x) = = Of(x)= Of(x) = Of(x)…

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Q: Find all pertinent information and sketch the graph of f(x) = x²-2x x²-4 Find all asymptotes: HA:…

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Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: Find a function whose graph is a parabola with vertex (4, -5) and that passes through the point…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Find the derivative using suitable differentiation rules: + 3x + ¹) J- = 5x + sin(x² + 3x + 1)…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter ()+8², ti T(1) -

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Q: Please

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Q: Suppose 4x² + 16y2 = 100, where x and y are functions of t. dx dy (a) If. = find dt dt 4' dx dt E…

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Q: 3. An airline company offers a promo of Php 100.00 promo fare from Manila to anywhere in the…

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Q: |s sin³ 50 √ cos 50 de

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Q: 3. Determine where f(x) = 12x - x³ has any local maximums or any local minimums.

A: To determine maxima or minima for the given function

Q: A bank features a savings account that has an annual percentage rate of r r = 4% with interest…

A: Topic - Compound interest  we are given, Present value: P=$9500Annual percentage rate =4%=0.04number…

Q: The function f(x)=3-64 has an absolute maximum value of and this occurs at a equals

A: We have to find max value of function

Q: Find the indefinite integral. (USE INTEGRATION BY PART ONLY-. Use C for the constant of…

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Q: Use Fubini's Theorem to evaluate the double integral ſf f(x, y) dA, where f(x, y) = −3x − 4xy – 9y²…

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Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: On solving this we will get

Q: A (green) as the graphs of a function and its derivatives: is the graph of the function is the graph…

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Q: Find x. Round your answer to the nearest tenth of a degree. x = 山。

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Q: Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel…

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Q: Question 4: For what value of the constant a is the function 8(2,4)= exp(-) at solution of the…

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Q: d. lim x²+5x+6 x²-4 x112 e. limx→∞ (1-x²)³+40x6+x 3x6+3

A: We need to find the limits.

Q: Find the area of the shaded region: 6 y=x²-15 x 64 -128 128 2 20 10 -10 -20- 2 4 y=x 6 X 0

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Q: x³ dr (1 + x²

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Q: Solve the inequality (z - 4)(x − 3)² 4 0x3

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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: 4. Find all local maximums and local minimums for f(x) = x³ - 2x² + x - 1.

A: We have given function fx=x3-2x2+x-1 Derivative of the function is given as f'x=ddxfx…

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: Let f(x)= In (x^4) f'(x)=

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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: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

A: To solve the given logarithmic equation.

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

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Q: 60. 2 S.² u du 0 u' + 1

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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: Evaluate the integral. [2 sec *0 tan ²0 do [2 sec ¹0 tan ²0 do = [

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