Find the maximal area of a right triangle with hypotenuse of length 2.

Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

A: Here, the distance is given by: p=∫0176+tdt Let, v=f(t)=76+t Now, divide the interval into…

Q: The rational function 340t V(t) t + 2 models the velocity, V(t), in miles per hour, of a dragster t…

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Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + D − 2)y = 2x − 40cos2x

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Q: Determine (4x³ + 3x2 + 5) from the first principle when x = 2 Determine the differential coefficient…

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Q: Find the area bounded by the curve y = 4x - x2 and the lines x = 0 and y = 4.

A: topic - area bounded by curves

Q: 15x2 – x3 – 43x – 19 Ax +B C D + rx +s The integral -dx can be rewritten as dx. (x+1)2(x²– 6x+ 13)…

A: Take partial fraction.

Q: 3. Determine the differential coefficient of y 2x- 3 when x = 3 Give the answer correct to 3…

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Q: Using integration by parts, which of the following options is true of x arccsc x dx ? x dx A…

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Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: (In x)? dx_

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Q: True or False, If f' (3) = f" (3) = 0. then I 3 MUST be an inflection point. (Remember = to give…

A: It is given that, f'(3)=f''(3)=0 then x = 3 must be an inflection point.

Q: 2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

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Q: Given that f(z, y) = z (2y+4) +y(7z - 14) is a potential function for F = (2y+4+7y, 2z + Ta - 14).…

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Q: If f(x) (t3 + 7t + 7)dt then f"(x) =

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Q: y3 x³ – 4x – 1 = 0 3 Consider the implicit curve dy/dx and use this to explain why dy/dx is always…

A: SOLUTION GIVEN BELOW

Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

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Q: Evaluate the double integral over the rectangular region 12(x sin(y) – y sin(x)) dA; R= {(x, y) : 0…

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Q: Solve for ((1 integral 0) x3(2+2x4)5 dx) instead

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Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

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Q: Convert the polar equation r2 = -2 sin 20 to a Cartesian equation. O +y? = 2 xy O12+)² = -4 xy…

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Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line…

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Q: (In x) ² dx,u Use integration by parts.

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Q: In circle B with mLADC=43 find the measure of minor arc AC. B C. A The measure of arc AC =| %3D

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Q: Example 11 Determine the points at which the limacon defined by the polar equation r = 3+2 sin 0 has…

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Q: I 2 3 To find the blue shaded area above, we would calculate: | f(x)dx = area Where: a = b = f(x) =…

A: Here we have to find the area under the graph.

Q: Find the largest number d such that if |x - 2| < 8, then |4x – 8| < ɛ, where ɛ = 0.5. Repeat and…

A: Solving

Q: g(t) = 2t3 + 3t² – 12t Find the intervals where g(t) is increasing and the intervals where g(t) is…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx 4x2 – 1 XV

A: We have to determine integral

Q: 13 dx 12

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Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

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Q: Q2/ Solve the differential equation by using the appropriate method (cos²x) y' = y²(y – 1)sinx

A: We have to find the solution of the given differential equation.

Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A: These questions are related indefinite integration, we will solve it using given information.

Q: A 25-year old woman burns 400 – 50t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

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Q: 9. lul 4,0: Ju] 4,0 310°

A: Given query is to find the vector.

Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

A: The polar equation is  r = 4 To evaluate: The graph of the polar equation.

Q: Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.)  lim x→∞ 2x tan(1/x)

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Q: Jse cylindrical shells to find the volume of the solid generated when he region enclosed by the…

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Q: (In x)² dx. use integration I

A: topic - integration by parts

Q: Use the new command from Example 3 above to find the volume of the parallelepiped formed by vectors…

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Q: A 25-year old woman burns 250 – 30t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: does ln(inf)/(inf)=0

A: the statement is false see below the explanation

Q: S sin x cos? xda- 2.

A: topic - indefinite integral

Q: Find the particular solution of the differential equation. dy 7 - 7x° e -×' ; y(0) = 4 dx y =

A: See below the answer and calculation

Q: x³ sin (x²) dx is evaluated using IBP, the value of v du When A 2 sin (x2) -2 sin (x2) none of the…

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Q: EXERCISES answer page 338, letter B. (COPY & ANSWER) В. In exercises 1 to 8, refer to the triangles…

A: To answer the given questions using the given triangles. where hyp=hypotenus

Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

A: Solving

Q: if x 2

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Q: 5. y = (x? - 4) / (x² - 2x)

A: The given function,   y=x2-4x2-2x