Find the value of t 20 + 10t - 4.905€ ² =0

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Q: Com A real estate firm estimates that the value of a certain property will be given by the function…

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Q: etermine the instantaneous rate of change of the function πt √√x sin (772³) dt : x = 1. x3 1 + √t

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Q: The population of a city is 145,000. It declines continuously by 3% per year. ..... Assuming this…

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Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

A: Given :y=2x + 1, x- axis, x=1, and x=2 is revolved about y=0.Formula :Volume in cubic = π∫y2 dy

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A: First, we will find the velocity of the ball at t second. Then we will find the value of t for which…

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A: The given integral is: I=∫2∞32x2dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

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Q: In Dollars Sales Monthly 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 January Williams Custom…

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Q: Question 138 of 190 FINAL-Mathematics Temperatures in degrees Celsius (C) may be changed to degrees…

A: A detailed solution is given below.

Q: The height of a projectile launched into the air is given by f(t)= - 16t² + 220t + 10, where t is…

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Q: Evaluate the following limit, if possible. If the limit c 4 lim 42-√√

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Q: Suppose that a movie theater has a screen that is 29 feet tall. When you sit down, the bottom of the…

A: Given: θ=Viewing angleθx=tan-137x-tan-18x…

Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

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Q: What is the y = x^2 - 4 and x-coordinate of the centroid of the plane region bounded by y = 2x - x^2…

A: Here we have to find the x coordinate of the centroid of the area bounded by the curves.

Q: Find the derivative of the function. s = t In |t| ds dt 11

A: The objective is to find the derivative.

Q: lim x→0 sinh x2 – x2 sinhx−x

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Q: 3. coth 3x dx

A: To evaluate the integral.

Q: II. Evaluate the following integrals. 2. (sin³x)√1 + cos x dx KIN k 플

A: Here is the solution:

Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5. Find the area bounded by y = sin √x and y = 0 on the interval [0, π²].

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Q: Find the volume of the colld_generated by. revolving the area bounded by the given curves_ about the…

A: We need to find volume.

Q: For the function defined as follows, find all values of x and y such that both fx(x,y) = 0 and fy…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = 3x - x^3,…

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Q: II. Find the value(s) of x (or the interval of convergence) 2. Σn=0 for each of the following power…

A: The power series is  ∑n=0∞ (-1)n+1(x-5)nn·5n

Q: 7. Find the mean of a student's test scores if he earned 95, 93, 85, 90, and 91 points on five…

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Q: The function defined by y=√-² has as its graph a semicircle of radius r with center at (0.0) (as…

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Q: Suppose that P = 4.2x² + 1.5y² - 0.1x3 -0.01y3 tons is the production function for a product with x…

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Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x = 0 and x…

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Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

A: Using sine rule, length of other two side are evaluated.

Q: Derive the standard equation of a circle if its general equation is x² + y² - 10x - 6y + 14 = 0.…

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Q: Evaluate the limit using the L'Hopital's Rule 1 - cosh x lim x+0+ ln(x² + 1)

A: SOLUTION-

Q: Sketch the graph of y = x-2 (x+3)²

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Q: What is the y-coordinate of the centroid of the plane region bounded by y = x^3 and y=x^2? O 2/5 3/5…

A: We can solve this as follows:

Q: Find the area bounded by x = y + 2, x = 1 - y^2, and the lines y = 1 and y = −1. *

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Q: P= tan (x- P 1+p²

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Q: Find the line integral of F= 2√zi-4xj + 3√√yk, from (0,0,0) to (1,1,1) over each of the following…

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Q: 9 To express Q(x) = cos(4x-5) as the composition of three functions, identify f, g, and h so that…

A: The given function is  Q(x)=cos9(4x-5).

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

A:

Q: Use the Second Derivative Test to find all relative extrema. (a) h (x) = x - 2 cos x, [0, 4π]

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Q: Use the power series 1 = Σ( Σ(-1)-1-1, x +1 n=1 to find a power series, centered at 0, of the…

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Q: 1. Use Comparison Test to determine the converges or diverges of the series Σ: 8 n=1 (n+1)√n

A: By using Comparison Test to determine the convergence or divergence of the series ∑n=1∞ 1n+1n.

Q: You deposit $2000 in an account with 4% annual compound interest. Complete the following, assuming…

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Q: 4. If a 32 foot chain is hanging (balanced) on a metal peg on a wall. At time t=0, with the chain…

A: Given that,

Q: The population of a city is 50,000. The city grows continuously by 2.2% per year. If this trend…

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