1 4 k Determine the value of k for which the matrix is singular (i.e. Let A = = -5 - not invertible). k

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Q: A new hybrid car sold in the United States reports a fuel usage of 39 mpg. Write the equivalent rate…

A: Given that a new hybrid car sold in the United States reports a fuel usage of 39 mpg.Write the…

Q: f(x) 文 4-x x=2 x>2 at x = 2

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Q: What is the derivative of f(x) = sin(x² + 1)? cos (2x) 2x sin(x² + 1) (x² + 1) cos(x² + 1) 2x cos(x²…

A: Givenf(x) = sin(x² + 1)

Q: 120x-12,000 x-150 The function f(x) = , 30 ≤x≤ 100, models the tax revenue, f(x), in tens of…

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Q: find an inner and outer such that y=f(g(x)) then calculate dy/dx  y=tan5x^2

A: Given y = tan(5x²)

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Q: 29-32. Average and marginal cost Consider the following cost functions. a. Find the average cost and…

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Q: The figure shows the graphs of f, f', and f". Identify each curve. f 4 4 = EDU a b C b

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Q: S 27x 19 - 9x dx

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Q: Find the following higher order partial derivatives. In(x + y) = y² + z

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Q: A Find T, N, and x for the space curve r(t) = (6 cos ³t) i + (6 sin ³t) j for 0 <t<. T= Di+Oj (Type…

A: We have to find the T(t), N(t) and k(t).

Q: Use Newton's Method to find 36 accurate to four decimal places, using x₁ = 2 as a starting value.

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Q: Consider the following function and closed interval. f(x) = x2/3-7, [-27, 27] Is f continuous on the…

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Q: Use the Chain Rule to find az/as and əz/at. z = e-3x +7y, x = s/t, y = t/s əz əs əz at =

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Q: A ball is thrown straight down from the top of a 477-foot building with an initial velocity of -19…

A: As we know it is already solved that the position function is  and velocity function

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Q: Find the arclength of the curve r(t) = (7t², 2√7 t, Int), for 1≤t≤ 8. LE

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Q: 29-32. Average and marginal cost Consider the following cost functions. a. Find the average cost and…

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Q: What is the derivative of f f(x) = 7 (x² + 8) - 7 (2x) (x²+8)² 2 7 (x² + 8) +7 (2x) -7 (2x) (x²+8)²…

A: Use the quotient rule of derivative to evaluate the derivative of f(x) .

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t)= 1)…

A: Solution is following in explanation step.

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A: Given differential equation is

Q: 49. ۷۸ بت y = f(x) X

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Q: 7) (4.4) Find the solution to the initial value problem, y"+y' + y = x² − 2x; y(0) = 4, y'(0) = 2.

A: We have to find the solution to the given initial value problem.

Q: dy Use implicit differentiation to find and dx dy dx 4 y=x-y || d²y dx2

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Q: Order 7 of the following sentences so that they form a proof for the following statment: Choose from…

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Q: y = x^2 - 4x at x=1 A) find the slope of the curve using the limit process B) find an equation of…

A: given function y = at x=1A) find the slope of the curve using the limit processB) find an equation…

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Q: Find dy dx dy dx y = cot X t-1( -¹ (√6-x²) 2 7-x X

A: consider the given function,

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Q: Begin with the graph of y=e* and use transformations to graph the following function. Determine the…

A: The given function .The aim is to sketch the graph of the function.

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A: Fin

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A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: dy x²-3xy² Given = dx 3x²y-6y²-1 determine the function f. and f = f(3xy² - x²) + g(y); y = constant

A: Mdx + Ndy = 0 ----?(1)is exact,

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Q: ·Sex tan² (ex) dx 3 .fx cos ³ (x²) dx

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (446) f(x)=-3x√x + 2 -4…

A: To find the value of the derivative (if it exists) at the indicated extremum.