ed a clear answer by hand, not by

Q: Choice 1:Population Model The population of bacteria in a culture grows at a rate proportional to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2)Find an equation of the circle whose center lies in the second quadrant, that has radius 2, and…

A: We know that in second quadrant x-co ordinate is negative and Y- co-ordinate is positive. Required…

Q: Differentiate y=11x³ +4

A: Given, y=11x3+4

Q: Let F(t)=sin(5t)i+2tj+t^3k and G(t)=t^6sin(5t)i+t^3j+5 ln(6t)k,find F(t)×G(t).

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Q: Find f'(a). f'(a) = f(t) = = 8t + 44 t + 7

A: The given function is f(t)=8t+44t+7. We have to find derivative of f(t). Here we use quotient rule…

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height (in feet) after t seconds is…

A: We have to find the velocity when t = 1 second.

Q: Given s(t) = 3t² + 3t, where s(t) is in feet and t is in seconds, find each of the following. a)…

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Q: (D² + 4D + 8)y = 1 - 3x

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Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) d…

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Q: 1 -dx Evaluate: J- 2 2 - 6x +8 +C |x-4 2 x-2 B. In|(x-4)(x-2) +C A. In 1, C. In x=2+C 2 X+4 D. In…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the regior…

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Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2;  R(x) = x3 + 5x…

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Q: N 2 -3 EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2,…

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Q: 8. y e²x dx = (4 + e²x) dy.

A: Need to find out the solution of the differential equation.

Q: Evaluate the integral. Star tan(4x) sec² (4x) dx

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Q: 3 Calculator active. Line L is tangent to the graph of y = 2 sin x at the point (k, 2 sin k), where…

A: Equation of tangent line L of a curve y=f(x)  at a point (a,b) is given byy-f(b)=f'(a)(x-a)

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: A detailed solution is given below.

Q: Thank you! I am a bit lost because the equations are a bit messy with the computer. Would it be 3e^x…

A: GIven function :- y=3ex+8x3

Q: 4) For f(x) = { sin(27x) x>1/2 4 2x-1 x = 1/2 find lim f(x) X- x < 1/2 2

A: To find the limit of the given function.

Q: Differentiate the function. 1 2 =(√x + + + + + ) ² 3 v' = V

A: See this solution in below.

Q: 4. A company's average variable costs are given by a function 0,202-7Q + 150. Find out where the…

A: Given Average Cost :- FQ=0.2Q2-7Q+150

Q: iv. f/6(sec²(x)) dx

A: Integration

Q: Sketch a quadric surface that could have the traces shown. Traces in x = k O k = ±2 k=+1 k=0 Traces…

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Q: if x ≤ 2 Let f(x) = = if x > 2 If f(x) is a function which is continuous everywhere, then we must…

A: Given function, f(x)=4x-5if x≤2-3x+bif x&gt;2 Here function is continuous everywhere ,

Q: √X 'csc²yox - √x sinydy =o • Find the general solution of e

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Q: (-8,-1) (-5,-3) (b) Let h be the function defined by h(x) (-2,1) = 1- g(x) x²+1 0 (1,5) Graph of g…

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Q: Determine whether the improper integral converges and, if so, evaluate it.   ∞ 0 5x dx (3 + x2)2

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Q: Hurricane Rita was a major storm that struck the Gulf coast inlate September 2005, less than a month…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: -2 1 1 -1 -3 1 -2 are operations R2 = -2R1 + R2 and R3 = 3R1 + R3 used to convert the 2 and 3 in the…

A: We can find two row operations.

Q: Classwork. 4: Describe the sequence of transformations from the parent function f(x)=√x. g(x)=-3√x-2…

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Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.

Q: Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it…

A: We have to tell true or false Answer (1)

Q: Find the curl of the vector field F(x,y,z)=x^2yi-2y^3zj-3zk.   A. curl F = 2y3i + x2k          B.…

A: Option (c) correct  For detail...go through the solution

Q: 3. y= сдеах cos 3x ²x + c₂e²x sin 3x

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Q: f(x) = Answer: 1-cos(4x) 1+cos(4x) 2 sec² (2x)

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Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

Q: 2x Find the second derivative of y = e²x sin(3x)

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Q: If P(x) = 5x – 7, Q(x) = 3x² + 5x + 6, and R(x) = 7x² + 6, find the following: (a) R(x) + Q(x) = (b)…

A: I have solved step by step in detail...go through the solution

Q: Solve by completing 2x2 +9x = 1 =0 - the square,

A: The given equation is 2x2+9x-1=0 We have to find the solution of the equation

Q: x², and x = y³ (x) ≥ (0)| y = x

A: Given data:- The given equations are, y=x2x=y3 Where, x≥0

Q: Find the solution of the differential equation y(t) = = 1 t sec y = 6 cos t { x + + + ² ( 1 ) x - *…

A: The given differential equation is  y'+1/5sec(t/5) y= 6cos(t/5) , y(0) = 1  where 0&lt;t/5&lt;

Q: Element X has a half-life of 10 days. If we currently have a 25 ounce sample of Element X, how long…

A: NOTE: Refresh your page if you can't see any equations. . the half-life of the element X is p=10…

Q: For the function f, use composition of functions to show that f 3 1 (x) = -x + 1, f¯ ¹ (x) = = ¹(x)…

A: Topic- Functions and inverse of function We are given, f(x)=37x+1,f-1(x)=7x-73

Q: Solve the following differential equation:    4y'' + 12y' + 9y = 0

A: we have to find the solution of given differential equation.

Q: If f'(x) = e^x - 5x and f(1) = -12, then what does f(x) equal?

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Q: What is the general solution of the differential equation below when x > 0, y > 0.  dy/dx = -x2y2

A: A detailed solution is given below.

Q: 2. Match the figures below with the equations: (a) z = sin(x) sin(y) (b) x²-y+2²=0 (c) z = √6x² +…

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Q: Solve y = (1 + y) sec (x) + tan (x)

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Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Use PMT= P == -nt to determine the regular payment amount, rounded to the nearest dollar. The price…

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