Find how much money needs to be deposited now into an account to obtain $8,900 in 10 years, if the interest rate is 6% per year compounded continuously. The final amount is $ Round your answer to 2 decimal places

Q: -2 Find the value of f(1). -2- Estimate the value of f(-1). 2 x X domain ·N· 2 For what values of x…

A: Here is the solution

Q: Te ex (ex - 7)(ex + 1) dx

A: The given integral is ex/[(ex-7)(e2x+1)].

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis.

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Q: Warm up with related rates. The radius of a snowball changes as the snow melts. The instantaneous…

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Q: A closed rectangular container with a square base is to have a volume of 2304 in³. The material for…

A: The following formulas of derivatives has been used to solve this…

Q: Find the volume of the solid obtained by rotating the region bounded by the given specified axis. y…

A: Introduction To find the volume you can also use the definite integral to find the volume of a…

Q: Find a function y(x) such that 7yy'= X and y(7) = 11. Y

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Q: Consider the points P(6, 7) and Q(7,-8). (a) Determine vectors OP and OQ. Express the answer by…

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Q: The owner of a skating rink rents the rink for parties at $1200 if 60 or fewer skaters attend, so…

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Q: C(0, 1) R₂ y = √x R3 R₁ y = x³ B(1, 1)

A: Volume ( V ) = ∫abπ( x )2dy

Q: Find y' and y". y' y" 11 = y = √x In(x) x¯(³)in(x) 2 x x

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Q: 2 (e^)² = e²x why rather than (e^)² = etz 2

A: To find the integral.

Q: how do i find the derivative of 10^-x

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Q: Let f(x): = lim_ f (x) Find →→3 a b x²-9 x + 3 x² - 9 X 3 с d if x 0 -6 0 does not exist 1

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Q: Find the volume of the solid obtained by rotating the region bounded by y = -x^2 + 6x - 8 and y = 0…

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Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: √√√x-7 x³ - 7 O Q(x) is a polynomial, so it is continuous at every number in its domain. O Q(x) is a…

A: Introduction A function f is said to be a continuous function if it is continuous at every point of…

Q: 3. Let h(x) be a twice-differentiable function with h'(x) < 0 and h" (x) < 0 for all real numbers x,…

A: We have to slove above question

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = = R. (Use symbolic…

A: Given that , Radius of sphere = R Height of liquid h=R7 find the volume of the liquid.

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

A: To determine whether the following function is continuous at a. fx=x-7; a=3

Q: Find fyx. fzy f(x, y, z) = x³y³ z³ + xy³ + yºz

A: Given :fx,y,z=x3y8z3+xy3+y6z

Q: 05 O-S C O 35 log 7. Without using a calculator, state the value of log, (7-5 OO 8. Which expression…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Each of the following functions gives the amount of a substance present at time t. In each case,…

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Q: x² - 4 2 lim x→1 x² + x − 6 A x² - 4 lim x 2 x² + x 6

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Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded above…

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Q: Which of the following integrals represents the volume of a unit sphere by integrating the volume of…

A: Let Volume = V Area = A

Q: Find the volume of the solid that has a circular disk of radius r as a base and parallel…

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Q: A culture of bacteria in a particular dish has an initial population of 200 cells grows at a rate of…

A: a It is given that, The growth rate of bacteria in a particular dish is: N't=60e0·27465t cells/day.…

Q: a) Graph the function f(x)=2x²-7x+5. b) Draw a tangent line to the graph at the point whose…

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Q: A car rental agency charges $100 per week plus $0.10 per mile to rent a car. a. Write an equation…

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Q: F(s) = F(s)} = 10 (s-2)³ E: The answer should be a function of t.

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Q: Find the following for the vectors v = 9i - 2k and u = i +j+ k. a. v•u, |v|, |u| b. the cosine of…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 4. The complementary solution of following equation y"" - 3y" + 4y' - 2y = ex + cosx, is (a) c₁e+…

A: Given differential equation y'''-3y''+4y'-2y=ex+cosx

Q: O O 6. Which expression is equivalent to log.m* + 2log¸m* O log, m x² +7% log, m² 4x+14 3x+14 log,…

A: Explanation of the answer is as follows

Q: The graph of y = f(x) is shown. 10 == -2 has solution 9 8 10-9-8-7 -6 -5 -4 -3 -2 -1 + 6 5 4 3 2 1…

A: A detailed solution is given below.

Q: Use the washer method to find the volume of the solid generated by revolving the shaded region about…

A: Given curves y=1 ,y=cosx ,-π3≤x≤π3

Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine w…

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Q: List the first five terms of the sequence. an = (−1)n − 1 n2

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Q: Question

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Q: Given f(x, y) = −5x³ − 2xy¹ + 4y², find fx(x, y) fy(x, y) =

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Q: Sketch a graph of J(x) where J(X, 10 -9 -8 -7 -6 -5 -4 -3 1 -2 -1 10+ 9 8 7 6 5 4 3 2 + -1 -3 -4 -5…

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Q: Fill in the matrix in the equation below to find the line that passes through points (-2,-3) and…

A: given points is  (-2,-3)  and  (2,9)matrix form is detxy1x1y11x2y21=0

Q: Find the vectors whose lengths and directions are given. Try to do the calculations without writing.…

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Q: Find the a. v. u, |v|, |u| b. the cosine of the angle between v and u c. the scalar component of u…

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Q: Find the number of terms in the sequence or the sum of the sequence as requested. Find the number of…

A: Given sequence, 3,9,15,21,...,81.

Q: Suppose f and g are continuous functions such that g(5) = 2 and_lim [3f(x) + f(x f(x)g(x)] = x → 5…

A: Given;  g(5)=2 and limx-5[3f(x)+f(x)g(x)]=20.

Q: Qu Solve the following ordinary differential equations:

A: dydx+1xy=xy3divide y3  both sides 1y3dydx+1x×1y2=x

Q: Evaluate the integral. (Use C for the constant of integration.) I cos cos-1(x) dx

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Q: g(x) e 4 - * Minista 6.x²

A: g(x) = 4 - x6x2 The horizontal line test states that if a line is drawn over the graph of a function…