2π A sector of a circle has a diameter of 8 feet and an angle of Round your answer to four decimal places. A =mber ft² radians. Find the area of the secto *

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L-1100 feet apart. As the…

A: The given image of the problem is: L=1100  feetA=50°B=35°

Q: Find an equation of the line that contains the given pair of points. (-9,5), (-7,-5) The equation of…

A: We have to find the equation passing through two points.

Q: Quadratic equations are not nol in the form f(x) = ax²+bx+c to find (h, k). Begin by completing the…

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Q: sin 3t. ln(sint) −i+ In(tant) lim +0+ sin 2t - j + (tlnt)k

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Q: 14x^2-13x-12 using box method

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Q: Determine the derivative of the following exponential function d. f(x)= 10* (sin sin x)

A: We have to find the derivatives of the function.

Q: Find a vector parametrization and parametric equations for the line with the given description. 1.…

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

Q: y = c₁ cos(3x) + C₂2 sin(3x) is a two-parameter family of solutions of the second-order DE y" +9y =…

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Q: 3. The following equation relates to how an investment will grow over time given an initial amount…

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Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: 33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced…

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Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: Solve the given differential equation by separation of variables. 1 y In(x) dx = (v + ¹)² dy x³ln(x)…

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Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

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Q: Find the Maclaurin series of M8 Σ n=0 X sin(t) S t6 - dt.

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Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

Q: Question 5 Which values fall within the range of this function? f(x) = -4x+3+2? Select all that…

A: To determine the value that falls within the range of  the following function. fx=-4x+3+2

Q: The total cost function for a product is C(x)=700ln(x+100)−100, where x is the number of items…

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Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

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Q: g(y) y - 1 y²y + 1 2

A: to find critical points of gy=y-1y2-y+1

Q: Suppose Vf(x, y, z) = 2xyze+²; 2xyzex²; + zet²j + yex² k. If f(0, 0, 0) = 1, find f(3, 2, 2).

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Q: The cost of sending a large envelope via first-class mail is $0.76 for the first ounce and $0.18 for…

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Q: Find the mass of the two-dimensional a density function of p(x)= x³-5x + 6. object. An oversized…

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: Find a parametrization of the line in which the planes x+y+z=4 and y + z = 8 intersect. Find the…

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Q: Use the Midpoint Rule with m = n = 2 to estimate the value for R= [0,8] × [0, 6] X Submit Question…

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Q: The following equation shows how a population grows every year by 5%. P(n) = 2000(1.05)" Where P is…

A: P(n)=2000(1.05)n n=10 years

Q: Find the unit vector ey, where v = = (4,0,7). (Give your answer using component form. Express…

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Q: onsider the force field F(x, y, z) = xi + yj + zk. Compute the work done in moving a particle along…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) 2x +9y 5x – 2y

A: given function is f(x,y)=2x+9y5x-2y

Q: Suppose 4²x = 12. Then x = A. In12 OB. (√12)³ 3 OC. 3 D. 109412 E. 09122 2

A: 1). logbxa=a·logbx  where x,b>0, b≠1 2). logbb=1

Q: Find the critical numbers and any local maximum and minimum points for the function Find exact…

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Q: (a) Verify that y=tan(x + c) is a one-parameter family of solutions of the differential equation y'…

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Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…

Q: Let f(x) = X 3x + 1 and g(x)=√1-x.

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Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A: The rate at which water drains from a tank is recorded at half minute intervals ∆t=0.5

Q: Consider the following differential equation to be solved by the method of undetermined coefficients…

A: According to question,Given differential equation,y''-2y'+10y=ex cos3x

Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.…

A: Since, we have to compute the dot product of the expression given below:-(3j+5k).(i-8j)=?

Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

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Q: 10Let C be the curve defined by the parametric equations x = t^3 - 3t + 2 and y = 3t^2 -9. a.…

A: As per guidelines we support only Frist three part of the questions.kindly repost in next request.

Q: Find the distance from the plane 6x+y+7z=54 to the plane 6x+y+7z=30 The distance is d= (Type an…

A: given planes are 6x+y+7z=54 and 6x+y+7z=30

Q: The force F has a magnitude of 310 lb and acts along the diagonal of the parallelepiped as shown.…

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Q: Find an explicit solution of the given initial-value problem. dy_y2. = y(7) = 7 y = dx حمد

A: Given: dydx=y2-1x2-1,y(7)=7 We are required to find: The value of y.

Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

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Q: t said to use x 4

A: To solve the questions.

Q: The percent p of prescriptions filled with generic drugs at a large pharmacy chain from 2008 through…

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Q: If the slope of the tangent line to the graph of www y=f(x) at x=a is m (a) = 2a-3, and f(1)=5, then…

A: We have,   m(a) = 2a -3     f(1) = 5

Q: -1 Find f(x) for f(x) = 5 +6x. Enter the exact answer. Enclose numerators and denominators in…

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Q: Find a vector equation of a plane having x-intercept 4, y-intercept -1 and a z-intercept of 5.…

A: The x-intercept is 4 The y-intercept is (-1) The z-intercept is 5 So they can be written in ordered…