02 lim 0-0 sin 0

Q: The cost (in dollars) of producing x units of a certain commodity is C(x)=4,571 + 15x + 0.04x². Find…

A: The cost of producing x units is Cx=4,571+15x+0.04x2 We have to find instantaneous rate of change…

Q: Indicate whether the following equations are true or false for all integrable functions f. a) b) c)…

A: a) We know that properties of integration,…

Q: Find the General Solution G.S. 1. (2xy - 3x²) dx + (x² + 2y)dy = 0 2. 6x + y²) dx + (2xy − 3y²)dy =…

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Q: Evaluate lim h→0 cot(+h)-1 h

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Q: * Partial differential equation is an equation that includes single derivative 0 Draw Derivatives 0…

A: A partial differential equation (or briefly a PDE) is a mathematical equation that involves two or…

Q: 10.) Find the simplified form of the difference quotient. f(x)=x² + x

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Q: Find the derivative of the function. y=2xe-3x −3ex4 dy dx ||

A: Given query is to find the the derivative of the function.

Q: y" — y'=x

A: The given differential equation is: y''-y'=x So, we can also write as; D2-Dy=x The auxiliary…

Q: 1.) Graph the system of inequalities using the linear combination/substitution method (addition, not…

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Q: ул -5 -5-4-3-2-1 -5 45

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Q: Consider the improper integral [²8 8 + cos(0) 0² Determine if the improper integral converges or…

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Q: How to know if an equation is a solution to a first order differential equation? Please give clear…

A: To explain how an equation is a solution to a first order differential equation.To use the following…

Q: Textbook) The diagrams below are not necessarily drawn to scale. For each pair of triangles:…

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Q: 22) Solve the following differential equations. 1) + y² -4 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: For the function g whose graph is given below, arrange the following values in increasing order. A:…

A: Graph:-

Q: What is the integral of x(x + 2) dx? A. x³/3 + x² + C B. x³/3 + x²/2 C. (x+2)2/2 D. x³/3 + x²/2 + C

A: Topic = Integration Correct option = A

Q: Let F(x, y) = 1 + √√1 − y². 1. Evaluate F(3, 1). Answer: F(3, 1) = 1 2. What is the range of F(x,…

A: Let's solve for function value at given point and its range.

Q: Find the equation of the tangent line to the curve at the given point (4,57) y= x3-2x+1

A: Tangent line of a curve y=f(x) at a point (a,b) is given by, y-b=f'(a)(x-a) Where f'(a) is the slope…

Q: Q14.1.6 Find the domain of each of the following functions of two variables: a. \ds √9 - x² + y²-4…

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Q: (d) The sum of two divergent series of real numbers is always divergent. (e) If (r) is a convergent…

A: Please see the below picture for detailed solution .

Q: Find the minimum solution z(x) = 2x^3 + 3x^2 -12x +5 in the interval of [0,4] using newton's…

A: the root of function is calculated by below method

Q: Evaluate. Choices: y lim f(x) x-1 a. -1 b. 4 5 C. 2 d. Limit does not exist X

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Q: Evaluate the limit. lim x →∞ 3 - cos(x) x² + x

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Q: question 14. y' - 5y = e5x, y(0) = 2 answer 14. y e5x (x + 2) =

A: The given initial value problem is: y'-5y=e5x ;      y(0)=2

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: (a) 3f(x) Derivative of given combination  3f'(x) at x=2 3f'(2) = 3*17=37

Q: Let A = {4, 3, 5, 7, 10, 6} B = {8, 3, 7, 1} and U be the universal set of natural numbers less than…

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Q: If= 1π sin(0) = use the unit circle to find

A: Please refer to the image below

Q: y²-2xy +6x) dx-(x²-2xy + 2)dy=c

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Q: 7. Assume that f is continuous and differentiable on (-xx, o0). Consider the interval (a, b) where a…

A: Concept Used: Extreme value theorem: A function must possess a maximum and a minimum if it is…

Q: pls

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Q: The two vectors a and b in the figure have equal magnitudes of 10.9 m and the angles are 0₁ = 34°…

A: Shift the given vector b and then do the vector sum after breaking the components.

Q: Solve for the complete solution of the differential equa y" − 6y' + 9y = 0; y(0) = − 1, y'(0) = 2.…

A: Topic:- differential equations

Q: 1-sine 8-π/2 1+cos20 3) lim

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Q: v = fb an V (x − 3)(x x= y₁²³-4y+3 чуте x = 3 X b 2₁₁ × [ f(x)] dx 29 x= 1x 2 y

A: v=2π∫13y(1+(y-2)2dy v=2π∫13y(1+y2-4y+4)dyv=2π∫13(y+y3-4y2+4y)dy

Q: 12x-8y+11=0

A: We have to choose the correct option from the given options accordingly to the given information

Q: The energy cost of a speed of burst as a function of the body weight of a dolphin is given by…

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Q: For the function g(x,y) → 5.73-x+ 0.27-x² + 5.31-y² +8.43-x-y + 6.58 determine S².S². 2 g(x,y) dx dy

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Q: What is the integral of x(x + 2) dx? A. x³/3 + x2 + C B. x³/3 + x²/2 C. (x+2)/2 D. x³/3 + x²/2 + C

A: We know, ∫xndx= x(n+1)/(n+1) , for any real number n

Q: Use the graph of the function f shown to estimate the indicated quantities to the nearest integer.…

A: Given graph we have to find different limits.

Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0

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Q: Use the graph of the function to state the value of lim f(x), if it exists. x-0 f(x) = x² + x 3√x³ +…

A: To find out that the limit of the given function at x=0 exist or not.

Q: Find an equation of the tangent plane to the given surface at the specified point z = 6(x - 1)² +…

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Q: Find a formula for a function g(x,y,z)  whose level surfaces are planes parallel to the plane…

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Q: Use the graph of y=f(x) to graph the function g(x) = -f(x)-1. y = f(x) Ay d 2 Choose the correct…

A: y = f(x) g(x) = -f(x) -1 here f(x) graph is given  from that we have to find g(x) graph  here from…

Q: -7x lim 200 2+ 2x 15x-9 lim 1-∞ 2³ + 3x - 15 lim 818 lim 818 = r² - 2x - 10 7-13x2 lim 8118 T²+ 13x…

A: Concept: Unique real numbers are limits in mathematics. Take into account a real number "c" and a…

Q: Figure is not drawn to scale. 4 m 6 m 3 m What is the surface area of the box? (Note: Don't enter…

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Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

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Q: Evaluate 9x³ cos² (¹) dx ·f92³

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Q: x that makes each statement true. 15. 3 - 2 -X 4 = - 9 16. y². y² =

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Q: X²y = 4+Cy FIND of.

A: The given equation is; x2y=4+cy.