33) (x5-2x4)4 (5x4-8x3) dx

Q: Obtain an exponential function in the form f(t) = Aert. HINT [See Example 5.] f(t) is the value…

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Q: The cross product of two vectors u=(2, -3, 1) and v=(0, − 1, 2) is 5. O True O False

A: Here is the solution:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

A: topic- sequence and series

Q: The value of the integral Select one: b. None of these 5 4 d. / c. [ [²x² 7/2 x²y³ dx dy is:

A: This is a double integration problem

Q: Question 11 Given the region D in R² enclosed by y = 0, y = 1, x = 0, x = y² a. b. [ integral Sketch…

A: Given the region D in R2 enclosed by y=0,  y=1, x=0, x=y2a To sketch the region D.b To compute the…

Q: [²² y dydx = 2. Select one: O True O False

A: Select one

Q: 3+ 2+ 1+ -2 -3 Find lim f(x) = 78°F H→ The graph of the function f(x) tan x is given above for the…

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Q: After a large number of drinks, a person has a blood alcohol level of 140 mg/dL (milligrams per…

A: Given:Initial blood alcohol level is 140 mg/dL             And one fourth is removed every hour To…

Q: Choose the area of the region enclosed by the curves -6 4x 0 x=0, x=6, y = 4x², y = 4x. 4x2 6 SO SAX…

A: Given.

Q: Evaluate the integral and check your answer by differentiating. x² +8x4 1 x6 1² dx +C

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Q: Is the following statement true or flase? Select one: True False 5 2 1² 1²0 2 5 = √ √ ² x dx) ( √ ²…

A: The objective of the question is evaluate the double integral and choose the correct option.

Q: 2x 4) y" + 6y' + 5y = 2eª + e²x.

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Q: Q2) [ Given the function f(x,y)=x²-6x+y²-6y+8 a) [ Find all critical points of f. b) Find the…

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Q: Estimate the instantaneous rate of change of y(x) = 2x² + 2 at the point: In other words, choose…

A: To estimate the instantaneous rate of change of yx=2x2+2 at the point: x=-2.

Q: Example 2.1.7 Use by-parts integration to find the indefinite integral 1- [(log, (ar)) dr. I=

A: Integration by parts is used.

Q: 1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3

A: This question is related to definite integration, we will solve it using given information.

Q: using an appropriate su OTE: Enter the exact answer. 4 | - | dx - 4 (1 – 2x) ¹ +C

A:

Q: For the double integral below, we have 4 3 Jo ỏ 1 dxdy = 7 Select one: True False

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Q: Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. f(x)= x³ -…

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Q: 3. Evaluate the following: (a) [eve da

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Q: 13.) 2 automobiles start from the point A at the same time. One travels west at 60 miles/h and the…

A: Given Velocity of one = 60 i Velocity of second = 35 j

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A: We need to find S'(t).

Q: The integral ſº, ſº₁ x – y dædy is equal to: Select one: 0 O2 O 4 O None of them O-2

A:

Q: In evaluating 4 S²- 2dx -, is same as evaluating lim cos-¹(f(x))|4. Determine the value of of f(x)…

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Q: Give an example of a function of the variable x that has a: a) vertical asymptote in x = 2. b)…

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Q: The series 8 Select one: O True O False n=1 2 5" is a geometric series with r = }/1. -iin

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 60,000 + 800x. (A) Find…

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Q: Find the center of mass of the lamina bounded by the graphs of the equations x = 64-y² and x = 0 for…

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Q: Obtain an exponential function in the form f(t) = Aet. HINT [See Example 5.] f(t) is the value after…

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 130 + 36x; x = 3 The…

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Q: 8. Eliminate the parameter to find a Cartesian equation of the curve: x(t) = t, and y(t) = 3t+4, t≥…

A: To eliminate the pararmeter to find a Cartesian equation of the curve: xt=t, and yt=3t+4, t≥0.To…

Q: Use spherical coordinates to find the volume of the region bounded by the sphere p = 30 cos p and…

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Q: 3. The differential equation dy = =X dx 1. will produce a family of quadratic functions. II. will…

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Q: Solve the following equation. [Hint: Change log 4x to base 2.] log2 (x+4) - log 4x=2

A: To solve the equation.

Q: Use the Law of Cosines to find the remaining side(s) and angle(s) if possible. (If not possible…

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Q: Find the exact values of the six trigonometric ratios of the angle 8 in the triangle. sin(8) "…

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Q: 1. Evaluate the following: (ª) [e² (√π +6³) d dx

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Q: A $120,000 mortgage was amortized over 15 years by monthly repayments. The interest rate on the…

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Q: Find the area of the triangle. (Round your answer to one decimal place.) 2

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Q: Page 1 Page 2 Example 2.1.6 Consider the integral = [(a log₂ (x)) da

A: Given     ∫ (x ln x) dx

Q: (c) Use the ratio test to determine whether the series is absolutely convergent, conditionally…

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Q: Question 5 (a) Find an equation of the curve that passes through the point (0, -2) and whose slope…

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Q: 2. A differential equation that is a function of x only O will produce a slope field with parallel…

A: Here, given that the differential equation is a function of x only. So, dydx=f(x)⇒y=F(x)+C, where…

Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be…

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Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be…

A:

Q: Consider a particle that moves through the force field F(x, y) = (y - x)i + xyj from the point (0,…

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Q: If V f(x, y) = (x² - 1,√y-1), then f have two critical points (1, 1) and (-1, 1). Select one: O True…

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Q: The value of the integral Select one: a. 403 84 b. 127 21 c. 127 28 [² [²x³2 d. 83 21 e. None of…

A: The objective of the question is evaluate the double definite integral and choose the correct…