Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.002t² +0.7t, where M' (t) is the memory rate, in words per minute. How many words are memorized in the first 9 minutes?

Q: Find the area of the region enclosed by y=6x and y=5x2

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Q: Write 1 =x+5 9 as a piecewise-defined function. 1. f(x): = 2. f(x) = f(x) = - 1 x+5, x ≥ −45 9 1…

A: for f(x)=xf(x)=x,  x≥0-x,  x<0

Q: Which of these vector fields are irrotational? Identify all of those that satisfy this property. A B…

A: The given vector fields, A) u=-x, y, 0B) u=-y, x, 0C) u=-x, z, 0D) u=x, y, z We have to find the…

Q: Question 7. -120 (s - 8)5 is btet, where b, c and w are constants and t represents time. The inverse…

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Q: Find the time required for an investment of 5000 dollars to grow to 8100 dollars at an interest rate…

A: Topic:- application of algebra

Q: -9 = xp (|x|s - x) x) 8

A: (1) Evaluate ∫-98x-5xdx=?

Q: Find fry when 1. fxy 2. fxy 3. fxy 4. fxy f(x, y) = (x+2y)exy. = - (2 − xy)(x + 2y)exy (2 +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: Evaluate the iterated integral by converting to polar coordinates. 1/2 [1² [VF] xy² dx dy 31.

A: To evaluate the iterated integral by converting to polar coordinates.∫012∫3y1-y2xy2 dx dy

Q: Find the surface area of the part of the sphere x² + y² + z² = 9 that lies above the cone 2 = √x² +…

A: To find the surface area of the part of sphere lying above the cone.

Q: Problem 5. the Ratio Test. (a) M18 πη n! n=1 State whether each of the following series converges or…

A:

Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

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Q: Why does I1 = ln(u) in step three?

A: We have to tell why does  I1 = ln(u) in step 3

Q: - Let f(x) = −x² + 4x − 5. Answer the following question. Find the x-intercepts and y-intercepts…

A: Given, f(x)=-x2+4x-5

Q: 6.(x-2) dx

A: Definite Integration is the area under curve.

Q: Compute the flux of the vector field F(x, y, z) = 3i + 23 + 2k through the rectangular region with…

A:

Q: 15 A company's marginal cost function is c(x)=- where x is the number of units. Find the total cost…

A: NOTE: Refresh your page if you can't see any equations. . the given marginal cost function is

Q: 35. F(x) = x4/5(x − 4)² 37. f(0) = 2 cos 0 + sin²0

A:

Q: With reference to the attached scenario: The 100 meter diameter wheel needs to be designed so that…

A: We need to solve wheel problem.

Q: 5/2 (b) fcsc² x dx 77/

A:

Q: What is the minimum possible perimeter for a rectangle whose area is 100 square inches?

A: Given query is to find the minimum possible perimeter.

Q: Find dy/dx. x= t/7+t, y= sqrt(7+t)

A: Given Equations:- x=t7+t y=7+t

Q: Solve the FIRST ORDER LINEAR D.E. sin e Linear in r dr de = -1- 2rcos 0

A: To solve the given linear differential equation

Q: x² 3 (x³ – 9)³ This can be transformed into a basic integral by letting Consider the indefinite…

A:

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

A: To sketch the graph of f and by using your sketch to find the absolute and local maximum and minimum…

Q: [x²_9, if X3 and values of & Such that Continuous at x=3

A: condition for continuse at x=3  is  limx→3+f(x)=limx→3-f(x)=f(3)f(x)=x2-9x-3,  if x<3cx2+10, if…

Q: 95. Hours of daylight in Boston. The number H of hours of daylight in Boston t days after the vernal…

A: iven H = 12 + 3 sin2πt365where H = numbers of hours of daylight

Q: If f(x, y, z) = 6 √2x+8y +9z, then fz at x = 0, y = 0, z = 1 is =_ 00 -3 01 09

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Q: 1. If the region to be rotated is bounded by two curves, and the typical rectangle extends between…

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Q: Find the arc length of the polar curve, r = e30 from 0 = 0 to 0 = 2

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Q: Question Determine the integral that can be used to find the arc length of the curve defined by the…

A:

Q: Find the area of the region enclosed by y=e5x, y=e10x and x=1

A: To find area of the region.

Q: P 1/^ (1) J 8.

A: Given query is to find the integral.

Q: Determine the integral that can be used to find the arc length of the curve defined by the…

A:

Q: State the sign change at the transition point C in the figure. y y = f(x) A B C D E F G -X What is…

A: To state the sign change of the function at the point C.

Q: Suppose that the demand of a certain item is Q 100e-0.02p. Remember, elasticity is given by the…

A:

Q: Prove that if a0

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Q: cy that best fits the data points (0,

A: z = a + bx + cy bx + cy + a = z Data points => (0, -3, 0), (4, 0, 0), (3, -1, 1), (1, -2, 1), and…

Q: Find an angle with 0° < 0 < 360° that has the same: Sine as 250°:0= Cosine as 250°:0 degrees degrees

A: we need to find out the angle that has same sine and cosine value for the given angle has.

Q: Find the equation of the tangent line to the parabola y 2x2x+3 at x = 2. Circle your final answer

A:

Q: The vector equation r (u, v) = = u cos vi + u sin vj + vk, 0 ≤ v ≤ 8π, 0 ≤ u ≤ 1, describes a…

A: Given that , ru,v=ucosvi+usinvj+vk and 0≤v≤8π , 0≤u≤1 find the surface area.

Q: Find the area of the region enclosed between f(x) = x² + 11 and g(x) = 2x² +2. Area = Note: The…

A: Given query is to find the area enclosed by the curves.

Q: Use summation properties and formulas to rewrite and evaluate the sum. 29 k=1 100(k² − 6k + 1) -

A:

Q: Find all the roots of the given function. Use preliminary analysis and graphing to find good initial…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: g(x) = (x − 2)(3x + 1)(x + 4); only power rule

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Q: tch the graph of y=tan(x) for one cycle.

A: we will plot the required graph.

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

A: Solve the following

Q: Show that M8 Σ n=1 1 is divergent without using any of the tests you have seen so far. Use the…

A: We need to show sum is divergent.

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: