Which point is farther from the line that passes through both P and QR or S?

Q: conver the Following differential equation ihto a 1+S Perfect equation and then find general…

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Q: ferential √226

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Q: Gi‎ven: ∫ 40∫ 4−z0∫ 2√y f (x, y, z) dx dy dz a. Sk‎etch the so‎lid of integr‎ation of the give‎n…

A: Let's solve.  1.   Sketch the solid.

Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle. 38. Which of the…

A: We are allow to solve one question at a time.if you need rest of solution please upload it…

Q: 1ln(1 + x) dx X 0

A: We have to integrate

Q: A piecewise function is defined as f(t) = {4,5 t 0 ≤t <3 t≥3 i. Sketch the graph of f(t). ii.…

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Q: Solve the equation for z = C: i(z - 2i)² = 8 Select one: O a. z E-2, 3 + 4i O b. z € 2,-2 + 4i O C.…

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Q: Which among the sets is open? a. [0,1) b. {0,...,1/n,...,1/3,1/2,1} c. R\[a,b] d. None of the above

A: The objective of the question is choose the correct option that is a open set.

Q: A fish is reeled in at a rate of 4.0 feet per second from a point 10 feet above the water (see…

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Q: - Find the derivative of f (t) = (5t³ — 4t² + 1) 49 f' (t) =

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²-3x² and the…

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Q: Find the maximum and minimum values of the function g(0) = 56 Minimum value = Maximum value

A: Here we have to find the maximum and minimum values of the function gθ=5θ-8sin(θ) on the interval…

Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = (a)…

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Q: 3. Set up the iterated double integral in polar coordinates that gives the volume of the solid…

A: We have to find the volume of the given in polar coordinates.

Q: Find the volume of the solid that is bounded by the cylinder z = 4x2, on the sides by the cylinder…

A: Let's find volume of solid.

Q: Evaluate the indefinite integral Sxe-xdx O-X-1 ex O X-1 ex O -x+1 e-x O-x-1 e-x -X =+C + C = + C - +…

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Q: Find the derivative of f (x) = (x8 – 5x) (x² f(x)= + 10x 10).

A: Topic = Derivative

Q: Let f(x) = 3 cos 2x + sin² x. a) b) Show that f'(x) = -5 sin 2x. Зл In the interval <x< one normal…

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Q: (2x + 3y - 1) dx - 4 ( x + 1) dy = 0

A: Explained below

Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: Find the absolute maximum and minimum values of the function f(x)-cos²x-3sinx on the interval 0≤x≤7.

A: First I have find the derivative of the given function and set them to zero .Solved them to get the…

Q: Find the values of x for which the given function has a maximum or a minimum value using the First…

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Q: o classify the following PDES :- 227 ахг <-2 822 буду +2 82 дуг =x+3y 2 X •x2 Ихх - 2 xу Иху +ў Иуу…

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Q: It is projected that x years from now the population of a certain city will be changing at the rate…

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Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: [Select] the derivative of y? y = x⁹e²x+1 18. Which rule is applicable when solving for A.…

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Q: Consider the function ƒ(x) = 2x³ + 9x² − 60x+8, − 5 ≤ x ≤ 3. This function has an absolute minimum…

A: This question is based on application of derivative.

Q: Region R is a plane region bounded by the curve y = 32, the y-axis and the lines y = 1 and x = 4.…

A: We have to find the area and volume.   According to our guidelines we can solve only three subparts…

Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

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Q: Water is flowing into a conical cistern at the rate if 8 cubic m/min. If the height of the inverted…

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Q: 7. 1 x lnx dx 8. f(x + 1)(2x - 1) dx

A: 7.∫1x lnxdx = ∫1 lnx. 1xdxLet, lnx= y ⇒1xdx = dySubstitute the corresponding values in the…

Q: The value of a. 11.807 2.2 xe* dx by using the three-segment trapezoidal rule is most nearly 0.2 b.…

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Q: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

Q: Find the derivative of F(x) = f (t³ - t) ³ dt. O 5 (t³-t) (3t²-1) ○ (x³ - x) 5 ○ 5 (2³-x) 4 O 3t² -…

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Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = r (a)…

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Q: F Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

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Q: 6 All open sets are bounded.

A: Some times true

Q: The slope of the 7.6 kN force F is specified as shown in the figure. Express F as a vector in terms…

A: The figure is

Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative: d •√x (t² + Int)dt dx Sa

A: First I have written the Fundamental theorem of Calculus and using it for given problem and find the…

Q: Given: Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a…

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Q: 4. Evaluate 12x+1 dx 5. Evaluate dx x 6. Evaluate 3x -¹ dx

A: Let's solve given integral.

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: 9. J et dx 10. 4лr² dr

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Q: f' f" 1 I I 1 I 1 I I 1 A A B D B D y C E D E

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Q: Solve and illustrate the problem. 1. Find the volume of the wedge cut from a right circular cylinder…

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Q: 2xy-9x² + (2y + x² + 1) = 0 d.x

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Q: convert the following differential equation into a Perfect equation and then Find its general…

A: Given problem:- convert the following differential equation into a Perfect equation and then Find…

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: (b) 1 3 4 (1) Determine whether dy/dt is positive or negative given that dx/dt is negative. O…

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