Find an equation of the line tangent to the curve given by x = cost, y = sint at the point (16 16

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Q: When calculing the Laplace transform of the function f(t)=t-sinh(t) is obtained as a result: A- F(s)…

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Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

A: The unit tangent vector:The principal unit normal vector:

Q: 29. a(t) = -32; v(0) = 70; s(0) = 10 30. a(t) = -32; v(0) = 50; s(0) = 0 31. a(t) = -9.8; v(0)=20;…

A: 29) a(t)=-32, v(0)=70, s(0)=1031) a(t)=-9.8, v(0)=20, s(0)=0

Q: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

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Q: Find af ах af ду af дz Әх af af af af and I Әх ду дz Find their values at (0, -1, 1) if possible.…

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Q: 6. Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local…

A: We have to find the values of constants a, b, and c such that the graph of has a local maximum at x…

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A: Given that the expression

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Q: Question What is the first derivative of h(x) = = 4(x³) ? Provide your answer below: h'(x)= =

A: Here we have given a function h(x).

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Q: Consider the function f(x,y) = 4y³ - 8x²y − 30x² − 30y² + 1. on D= [5,5]x[-1,7] Find the absolute…

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Q: Which of the following would not be a representation of the differentiable function f, where f'(2) =…

A: Consider a differentiable function f, where f'(2)=4

Q: 1. The function shown in the graph satisfies lim f(x)=9, determine the appropriate values of X-6…

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Q: (b) f(x) = 1 1- x' 3 a = 2

A: Given that the function

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Q: 3. Solve the differential (a) xy' +2y = cosx, (b) y' + 2xy = 3x equation. x>0 colution of the…

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Q: 10) Find the indicated limit 2x x+1 lim( x-x

A: (10) limx→∞(2xx2+1)

Q: -1⁰+ Given the graph of f (x) shown above, evaluate lim f (x). X-3 Select the correct answer below:

A: given graph of f(x) to find the limit

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Q: = present in 450 years? A) 32 grams B) 10 grams C) 4 grams D) 1 gram

A: Initial quantity of the substance = 64 gramsTime elapsed = 450 yearsHalf time of the substance = 75…

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A: The given function is

Q: the series converges conditionally, converges absolutely, or diverges. gent vergent

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Q: Use implicit differentiation to find dy/dx and then d²y/dx². Write the solutions in terms of x and y…

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Q: Sketch the graphs of the functions. f(x) = x³+x²- 2r and g(x) = 0 -4 y 2 2 - 2 Find the area of the…

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Q: The graph of the function f is shown. 4 2 0 -2 -4 -6 -8 -10 O-6 only For what values of c does lim…

A: the graph of f(x)

Q: Given the three functions below, which expression equals (rocoq)(x)? c(x) = 9x + 4 Answer 5 ○ (9 ( ²…

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Q: 2. Consider the curve y = sinx - on the inteval 0 ≤ x ≤ π/2. (a) Sketch the curve and shade in the…

A: (2)The curve is given as, on

Q: Find a polynomial that will approximate F(x) throughout the given interval with an error of…

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Q: A rectangle is to be inscribed in the ellipse with the following equation x² y² + 81 144 Determine…

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Q: Given that f₁ f(x) da = 7 and fº₁ƒ(x) dx = -2. dx fő 2f (x) dx. evaluate

A: ∫−15f(x)dx=7 and ∫−10f(x)dx=−2Using the definite integral property∫acf(x)dx=∫abf(x)dx+∫bcf(x)dx

Q: Express the following statement using absolute value notation: In an experiment, the measurement of…

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Q: Find the area bounded by y=e,y=e^x and y=e^-x

A: Given that the region bounded by the curves

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Q: Let D be the square in the x, y-plane with vertices (1,0), (0, 1), (0, -1), and (-1,0). (A)…

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Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. π/2 -…

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Q: d the value of c so that the function fis continuous on the entire real line. √(x)=√x+3₁x52 cx+6₁x>2

A: Given that the function:

Q: Combine the following into just one log function. (a) 3log(3x+1)+4log(x²-1) Answer: log( (b)log321…

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Q: Write the exponential equation as a logarithmic equation. e0.75 = 2.1170...

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Q: 5. The accompanying figure shows a portion of the graph of a twice differentiable function y = f(x).…

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Q: distance of a moving car in terms of its speed is s = 0.21v + 0.00636v², where s is measured in…

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Q: 1 Estimate the area under the graph of f(x) = x+2 rectangles. Round your answers to four decimal…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the radius of convergence, R, of the series. Σ(-1)^ (x-4) 6n + 1 n = 0 R = 00 Find the…

A: The given series is (-1)n(x-4)n/(6n+1), n from 0 to infinity.

Q: -4. T Cancer treatment A cancerous tumor in a mouse is treated with a chemotherapy drug. After…

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Q: Let f be the function given by f(x) = In x² + cos x. What is the value of f '(2)? O-0.752 -0.091 O…

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Q: Find the binomial series for the function (1 – 6x)³. (1-6x)³ =

A: Function: