1. Find the equation of the line that goes through the point (1, 5) and 3 is parallel to the line y = ²x +8. 4

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: Consider the polar curve

Q: The formula for the braking distance of a car is: 0.03361 v² μl d= where: . d is the braking…

A: given that,and find the d value for the given velocities?

Q: Find f. f(x) = f'(x) = −2+ 24x 12x², -x² + 4x³-x² + 14x+8 x - f(0) = 8, f'(0) = 12

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Q: Compute the matrix exponential eAt for the following system x' = Ax. x₁ = 2x₁ + 2x₂, x 2 = 2x₁ + 5x₂…

A: We have to find the matrix exponential for the given system.

Q: Find the general Solution For D-E tan² (x+y) dy

A: The given differential equation

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 36. x =…

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Q: es. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]

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Q: Write the given expression as a single integral in the following form. [_^¸ ƒ (x) dx + [* f (x) dx −…

A: To write the

Q: Given the equation: Ax = λx True or false, λ is called the eigenvalue of A O True O False

A: Since this is a multiple question, according to the Bartleby answering rule only first question has…

Q: Let f(x) = x^4 − 4x^3 − 20  (a) Find the first derivative f'(x) and the second derivative f"(x)…

A: According to our guidelines we are supposed to answer only the first three subparts of the question.…

Q: Find the general Solution For D-E y + y tanx = [cos²x] y ¹

A: The given differential equation is

Q: ↑ X The amount of plutonium remaining from 1 kilogram after x years is given by the function W(x) =…

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Q: The figure below shows human arterial blood pressure during the course of one heartbeat. arterial…

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Q: Evaluate ]] x + y dA, where R is the region bounded by x = 1, x = 4, y = x, and y = 6 — x. R

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Q: Use Stokes' Theorem to evaluate f F · dR, where F = yi + zj + xk where c is the triangle given by…

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Q: Select the answer which lists the sizes of the following matrices in order. 2 3 654 12 2 [1 2 3 4 5]…

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Q: Find the average value of the function g(t) = 1 + t over the interval [0, 4].

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Q: Find the distance d (in the complex plane) between z = 2 + 7i and w = 11 - 10 i. d = √ (1)² + (9)² X

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Q: Estimate the average value of f(x) from x = a to x = b. 28 21 f(x)

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Q: The average price of a ticket to a baseball game can be approximated by p(x) = 0.03x² +0.54x +9.63,…

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: If y = (k+1)x+³ then y' =

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Q: Refer to the following figures. In each case, express the indicated trigonometric values as…

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Q: If 6400cm2 of material is available to make a box with a square base and an open top, find the…

A: If 6400 cm2 of material is available to make a box with a square base and an open top,then to find…

Q: Find the arclength of the curve x = 5t 9, y = 12t – 3 with 2 ≤ t ≤ 5. -

A: x=5t-9y=12t-3

Q: The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 6 m, at what…

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Q: The total cost in dollars to produce q units of a product is C(q). Fixed costs are $14,000. The…

A: The total cost in dollars to produce q units of a product is C(q)Fixed costs are $14,000

Q: * Find the general Solution of dy dx = 4. x² ln x

A: The given differential equation is

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A: The given function is

Q: Find the arclength of the curve x = -t³. 123 1²³, y = 2/1/1² t² with 2 ≤ t ≤7.

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Q: Find the general Solution of :- dy dx = X e sinx

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Q: Use a half-angle formula to find the exact value of tan 112.5°. tan 112.5° = √2 21 2 16 X 5

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Q: dx Assume that x = x(t) and y = y(t). Let y = x + 2 and dt dy Find when x = 3. dt dy dt (Simplify…

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Q: Given u(x, t) = 3e, compute: 4, Uxx =

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Q: Suppose f(0) = 4, f'(0) = 2, f''(0) = 2, and f(3) (0) = 6. Find the third-order Taylor polynomial…

A: The nth degree Taylor Polynomial of a function f(x) centered at the point x=0 is given by

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: PLEASE PLEASE HELP, The x y-coordinate plane is given. The curve starts at the point (1, 7), goes…

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Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.

Q: Suppose an> 0 for n≥1 and lim wan = 1 n-x What can you conclude regarding Σα1 an? n=1 The series…

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Q: Of all rectangles with a perimeter of 18, which one has the maximum area? (Give the dimensions.)…

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Q: b) The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = 4 sin x on…

A: We have to find the value of the given reimann sum.

Q: Verify that the two planes are parallel. -x + 6y + 3z = 6 1 x + 2y + z = 7 3 Find the normal vector,…

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Q: dy dx = general solution of :- - 2 Sec 3x tan 3 X

A: dy/dx=sec2tan3x

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: find the limit if it exists, or show that it does not exist.  lim (x,y)→(0,0) (x^4 −y^4)/x^2+y^2

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Q: You now have access to the data for the research project. In this experiment, some cells have been…

A: From the  given statement.

Q: Find the radius of convergence, R, of the series. R = xбn n=2 n(In(n)) Find the interval, I, of…

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Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: 1. Describe the convergence of the series 3! + 3² + + (n+1)² (n + 2)! +

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Q: Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = m/2. Use four approximating…

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Q: 8. ( Determine whether the following two planes are intersect or not. If they intersect, find the…

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