Solve the value of t using quadratic equation (unit must seconds). Include the units while solving. m 25 m = 10 " (t)- t² S

Q: Consider a triangle where A = 30°, a = 1.5 cm, and b 1.2 cm. %3D (Note that the triangle shown is…

A: Explained below

Q: 3. Consider the function f (x) = B - x/4 for 1 s x s 2 and f (x) = 0 otherwise. Determine the value…

A: Explanation of the answer is as follows

Q: The position s of a point (in meters) is given as a function of time t (in seconds). 1 ;t = 1 S =…

A: The position s of a point in meters,   s=73t2-1t; t=1

Q: Find the area under the curve y = 6x° over the interval [0, 2]|

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Q: Calculate y" and y". 4х — 7 y(x) %3D (Use symbolic notation and fractions where needed.) y" (x) =…

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Q: The limit represents a derivative f'(a). Determine f(x) and a. 8h lim h - 1 h→0 (Express numbers in…

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Q: Let R be a variable and r a constant. Compute the derivative. d :(° · R') = dR

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Q: -2 a 3. 22 9. 6 3 7.

A: Given that,-2ab337=229

Q: and enter the types in the same order as your critical points. Note he types enter min max or…

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Q: The demand for a particular item is given by the function D(a) 1, 300- 3x2 Find the consumer's…

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Q: Question 4 Solve the initial value problem: y'= - 0.03y + 6 y(0) = 50 |3D %3D y(t) = %3D Question 5…

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Q: Let R be the quarter-circle region in Quadrant 1 bounded by the x-axis, the y-axis, and the circle…

A: See the answer below

Q: Danielle is skiing along a circular ski trail that has a radius 3.5 km long. She starts at the…

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Q: Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

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Q: If y = f(g(h(x))), then the derivative y/ is given by which formula? a) None of these Ob) f'(g(h(x))…

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Q: x cos y + sin 2y = xy

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Q: 24) A frustum (truncated cone), and the formula for determining its volume, is shown below. The…

A: Frustum :  a solid formed by cutting the cone parallel to its base side and then removing the…

Q: 2x +1 Solve the equation 4ª -x+2 = 6**. Leave your answer in exact form. %3D

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Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

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Q: So r dr do

A: Follow the procedure given below.

Q: Determine the indefinite integral 4 7 6r -- 5 4

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Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x-45. Round…

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Q: 2. The population of a city grows from a initial size of 1000,

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Q: Formulate a linear programming problem that can be used to solve the folliowing question. Suppose…

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Q: Suppose k is a non-zero real number. Evaluate the limit algebraically. If it does not exist, explain…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: Solve triangle ABC if ZA = a = 37.1°, b = 11.5 ft, and c = 13.6 ft. Using the Law of Cosines, ft.…

A: Using law of cosines;a2=b2+c2-2bc cosαa2=11.52+13.62-2(11.5*13.6)cos37.1a2=67.72575a=8.229a ~ 8.23…

Q: If C denotes the curve parametrized by x = t, y = 2t2, z=t°, 0 <t < 1, then fx dz +y dy + z dx C O…

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Q: x²y' + 2xy – 2y = 0

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Q: er each series is conditionally convergent, absolute (-1)" n n! c) E n'+1 2 '100"

A: We have to find the nature of the series according to the given information

Q: Let C1 be the curve with parametric equations x = cos t, y = sin t – t, where t E [0, 5). (a) Find…

A: This question can be solved using the concept of equation of tangent and length of curve when the…

Q: dc The marginal cost of printing a poster when x posters have been printed is 1 dollars. Find c(9) –…

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Q: 1. The number of movies released each year in the United States can be estimated by the linear…

A: To solve the following problem

Q: Start with a square of area 1 square foot. Use the Sierpinski square design where the original…

A: We have to find that after round 5, how many squares are there, what is the area of this fractal.

Q: For the equation given below, one could use Newton's method as a way to approximate the solution.…

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Q: Solve the given equation.. (3x2 + y)dx + (x²y – x)dy =0 Y +3x = C a. b. x²y? + x²y+ x4 = C C. d.…

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Q: Find all the relative and absolute extrema of the given function on the given domain. (Order your…

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Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, x = 0, x = In…

A: Given Region is bounded by   y=ex , y=0 , x=0, x=ln5

Q: Sketch the region bounded by the graphs of the functions. = gtx) = -e", x =x = 1 (x) Find the area…

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Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

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Q: Write the general conic form equation for an ellipse with center at (-1, -1), vertex at (5, -1), and…

A: This question can be solved using the concept of general equation of ellipse.

Q: Derivalive: f) JFonx-4 2.gm)- (Jx+ 37 Ax+1

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Q: A forest fire covers 1600 acres at timet = 0. The fire is growing at a rate of 2/t acres per hour,…

A: How many acres are covered 20 hours later ?

Q: The function values f(x) in the table below is increasing for 0 < x< 12. 0 369 12 f(x) 34 35 37 42…

A: (A)  RIGHT HAND SUM   when ∆x=3     then n=12-03=4 The four subintervals are[0,3]   ,   [3,6]  ,…

Q: Answer the following questions; 1. A student writes that if the right and left limits of a function…

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

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Q: Fina the integral (2x-1) (x+3) a. In 7 (2x-1) + C x+3 b. In 6 (2x-1) + C x+3 3 (2x-1) c. In + C x+3…

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Q: acceleration due to gravity.) x(t) = ft

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Q: Which one of the following accurately describes the set {(p, 0, $)|¢ = 5 } in spherical coordinates?…

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Q: Let f(x) = (8x2 + 6x + 11)/(7 - 7x²). The horizontal asymptote is given by y = ? Round your answer…

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