Question 6 Given: y = (16+¹) Z -61² (16+74) 3 √16+t¹ 23 (16+) O (E) None of the choices -21² (16+¹) ; Find: dy/dt

Q: Solve the problem. For some reason the quality of production decreases as the year progresses at a…

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Q: Consider the following functions. X f(x) g(x) = x + 1 Find (fog)(x). Find the domain of (fog)(x).…

A: The given functions are; f(x)=x/(x+1) and g(x)=1/x.

Q: let 3x² - 6x +9 (x² + 9) (x-3) - Ax+ B x²+9 + C x-3 Find A, B and C

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Q: Problem 1. Determine whether each of the following statements is true or false. If it is true,…

A: Let's solve. Two integration statement given.

Q: Solve for the particular solution: 4e-32-2 y = e-6x +3e-3x+2 ; y(0) = 1

A: Given differential equation  y'=4e-3x-2e-6x+3e-3x+2  ; y(0)=1 Rewrite the differential equation as…

Q: 4. G(x) = n x3.4 -5me + p 5. F(x) = ax³ bx² + cx - d 6. f(x) = (3x + 1) (2x7 - x + 2)

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Evaluate the integral. (Use C for the constant of integration.) | V 9-x dx

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Q: Consider the curve defined by x² + xy + 2y² = 8 dy (a) Use the formula for implicit differentiation…

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Q: What is the derivative of 5/x3?

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Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: Where did the -1/3 come from? Is it because the 3 is the nth root and the 1 is the one inside the…

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Q: 5. y = (2+ x)²(1-x)'

A: We need to find out the derivative of the function.

Q: Let y = sin(2nx) + b cos x, where b: constant and n: even integer. TU 2 Evaluate y" when x = (a)…

A: Here is the solution:

Q: y = tan-¹(7x)

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Q: Use this table about differentiable functions f and g to answer the following. x f(x) f'(x) g(x)…

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Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: let   p=amount of bacteria present   thendpdt=growth rate

Q: Find an integrating factor for the D.E. (2xy³ – 2x ³y ³ − 4xy² + 2x) dx + ( 3x²y² + 4y) dy = 0

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Q: Give the actual solution of dy -= 2xy² + 3x²y² if y = -1 when x = 1 dx

A: Given query is to find the solution of the differential equation.

Q: List the first five terms of the sequence. a₁ a2 a3 2 a4 a5 = || || || || = = = = a₁ = 12, an +1= n

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Q: 2. (a) Let==1-i. (i) (ii) Plot the position of on an Argand Diagram. == Express in the form = = ae¹,…

A: solution

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given function, y=x2-1x

Q: (2xy-3x²) dx + (x² + 2y) dy = 0 2

A: Given differential equation:- 2xy-3x2dx+x2+2ydy=0

Q: Evaluate the integral. (Use C for the constant of integration.) in² (7) dt

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Q: 4. Find the exact value (in exact form) of sin

A: cos(2x) = 1-2sin2(x)

Q: 3. Determine the following limit (tabulate). sin (t-1) lim t1 t²+2t - 3 O-1/4 O ⁰ O None of the…

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Q: Find the equation of the least squares line. Ten students in a graduate program were randomly…

A: The equation of the regression line is y = 3.67 + 0.0313x  Therefore the option (B) is correct.

Q: 44. Suppose that f(4) = 2, g(4) = 5, f'(4) = 6, and g'(4) = -3. Find h'(4). (a) h(x) = 3f(x) + 8g(x)…

A: Simply use differential formula and we can easily solve it Please see the solution Thanks

Q: e selling price of a refrigerator, is $678.70. If the markup is 10% of the dealer's cost, what is…

A: Given query is to find the dealer's cost.

Q: ose that the price per unit in dollars of a cell phone production is modeled by 0 – 0.012, where x…

A: We will find the required.

Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: For each of the following functions f(x) (x E R²), describe the sets V₁ ≥ 4 = { x | f(x) ≥ 4 } and…

A: A function is called convex if its double derivative is positive OR any line formed by joining any…

Q: 2 11. S ² | x - √x |dx 0

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Q: 12. Determine the equation of the line tangent to the curve y = 4 = 4(x + 2)²; at the point (4,36).…

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Q: lim Y->+00 In (ett & +4e¯Y)

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Q: Find the equation of the least squares line. Two different tests are designed to measure employee…

A: This question can be solved by using the values of x and y given in the table

Q: 1. Solve the following IVP and find the interval of validity for the solution. y = 5y +e-2xy-2, y(0)…

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Q: > Question 4 Which of the following statements is true? The slope of the tangent line to the curve y…

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Q: solve  log10(x+3)-log10 X =1

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Q: 1. Given the algebraic function x² - xy + y² = 3 a. Find dy/dx v= O Option 4 y Option 2 y - 2x 2y +…

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Q: f(x)=xsin(x)/1+x. Find f'(pi/2).

A: Given query is to find the derivative.

Q: Define g(-5) in a way that extends g(x) = x² - 25 x + 7x + 10 to be continuous at x = -5.

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Q: . Find equations of the tangent lines to the curve x-1 x+1 that are parallel to the line x - 2y = 2.…

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Q: Solve the DE (6x + y2) dx + y (2x - 3y) dy = 0. Hint: Exact O 3x^3 + xy^2 - y^3 = c O 3x^2 - xy^2 -…

A: Given differential equation:- 6x+y2dx+y2x-3ydy=0

Q: Solve x dy - y dx = 2x³ dx. O y = x^3 - cx O y^3 - x^3 - cx Oy=x^3 + cx O y^3 - x^3 + cx

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Q: f(x)=x^3(x+3) *differentiate the function

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Q: 13. Find the point (x, y) on the curve y = x² + 1 that minimizes the distance to the fixed poi (4,…

A: Given curve:- y=x2+1 We know distance between points x1,y1,x2,y2d=x2-x12+y2-y12

Q: e demand function for math self-help videos is given by 55 -0.2x, and the total cost function to…

A: Given query is to find the marginal profit at x = 20.

Q: Find the equation of the line. Use function notation. Horizontal​ line; through(6,-6)

A: Find the equation of the line.  Horizontal​ line; through(6,-6)