Question 28 to determine the instantaneous rate of change of 3, to the nearest tenth. (+0.0001)-f(ar) Use 0.0001 f(x) = -2x² + 7x atx ...

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Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

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Q: s help A

A: calculus

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: Hello! Can someone help me solve both A and B. Thank you! Please show all work, as i keep getting…

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Q: 2) y" - y' — 6y = 0. бу

A: Follow the procedure given below.

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Q: 4. S 1 x²√√x²+4 dx

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Q: √2 cos x csc x=2 cos x

A: 2cosxcscx=2cosx

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Q: Integrate using the fundamental theorem of calculus

A: Our Aim is to evaluate the integral given below using Fundamental Theoem of Calculus.∫01x4+12 dx…

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Q: Find all values for which the function discontinuous. X-1 if X41 o if 18x44 X-2 if X>4 f(x);

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Q: 3. [x²cos2x dx

A: The given integral, ∫x2cos2x dx Note:    Multiple questions are given, we are answer only one…

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Q: An exponential function f(x)=abxf(x)=abx passes through the points (0, 8000) and (2, 3920). What are…

A: An exponential function fx=a.bx passes through the points 0,8000 and 2,3920

Q: Solve the differential equation by variation of parameters. y" + y = csc(x)

A: Our Aim is to solve the differential equation given below using variation of parameters.y"+y= csc…

Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5) n n5n

A: Radius and interval of convergence

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A: The function fx=1x from a=1 to b=4

Q: Write an equation for the function graphed below -7 6 5 4 -3 -2 y= 50 on it'st 72 3 Q

A: Topic = Functions

Q: 11. (2.3.34) Let f: B → C and g: A → B be functions. (a) Prove or disprove the following statement:…

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Q: x = est, y = to (a) Find dw/dt by using the appropriate Chain Rule. dw dt W = X- (b) Find dw/dt by…

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Q: A population of rabbits oscillates 29 above and below an average of 75 during the year, hitting the…

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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Q: h tin tly Suppose that the graph below is the graph of f'(x), the derivative of a function f(x).…

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Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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Q: The domain of the function f(x) = √3x + 23 consists of one or more of the following intervals: (-∞,…

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Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: Зу" +y=0.

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Q: f(x) =  5 x2 + 6 Describe the interval(s) on which the function is continuous. (Enter your answer…

A: Polynomial function are continuous every where so using this we solve this problem

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Q: lim x→5 3x |x-5|

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Q: all company of science writers found that its rate of profit (in thousands of dollars) after t years…

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Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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Q: 2. The function ƒ(x) = x² − 4 is transformed to g(x) =— (x² − 4). Compare the domain, range,…

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Q: 3 Solve the following ODES by Inverse Operator method. 2X (D²³ +1) y = 3+* +52x ● X/2 Ans: y=c₁e³+…

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Q: Give the order and degree of the following differential equations. Differential Equation 2 (d²y) dy…

A: Answer and explanation is given below...