I Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 8x/5 + 3x-4/5 F(x)=

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Q: Find the solution of the given ODE. (6x² - 7y2) dx - 14xydy = 0 2x³ - 7xy² = C 3x² - 14xy² = C O…

A: Given problem:- Find the solution of the given ODE.   (6x2 - 7y2) dx - 14xydy = 0

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Q: Find the area of the region enclosed by the curves y = x + 5, y² = = x, y = −1, and y = 2.

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Q: From a group of 12 student representatives, 5 will be chosen to work on a committee. How many…

A: From a group of 12 student representatives, 5 will be chosen to  work on a committee. To determine…

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Q: Problem 8. A function and its first and second derivative are given 2(2x + 11) f(x) = x² - 4 (x +…

A: As per guidelines, I can answer maximum three sub parts of a question. Here are four sub parts, so I…

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A: Denote nA=number of elements in the set.

Q: ii. Given g(x) = √x²+5 if x<-2 3-3x if x2-2

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Q: 6) Find The derivative of yo

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Q: Problem 3. Evaluate each limit. If the limit is infinite, state whether it is -∞ or +∞. If the limit…

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Q: There are 30 students registered for a multi-sport camp. There are 4 students who will play Hockey…

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Q: How many odd three digit number can be written using the digits 2, 3, 4, 5, and 6?

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Q: Higher Partial Derivative d'u ôxôxôy 4. _x³y² u 2 yz

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Q: Find : dw/dk @=2 α - sin m καὶ 2

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  3. y = c1x + c2/x

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Q: 2. A swimmer wishes to swim directly across a river that has a current of 2.5 m/s. He can swim 3.5…

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Q: 4. Evaluate the integrals below. relevant triangle in your work. | | (1 (1 + tan²0)² de (b) 1…

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Q: State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: Let's solve.

Q: Given f(x, y) = 6x6 - 6x²y³ - 5y³, find fz(x, y) = fy(x, y) = fiz(x, y) = fay(x, y) =

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Q: 5) By using the method of undetermined coefficients, if the term of (r(x) = 3x² cos 5x), the exact…

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Q: Graph the function. f(x)=3√x-5 Plot four points on the graph of the function: the leftmost point and…

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Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.

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Q: A box has square ends, and the sides are congruent rectangles. The total area of the four sides and…

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Q: Complete the following. (a) The graph of y = g(x) is shown. Draw the graph of y=2g(x−1).

A: We need to draw graph.

Q: ху 2x — 9 = 0; x = -3 =

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Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax+By+ Cz = D. If…

A: Use the general equation of plane having the point and have the given normal vector

Q: The graph of one complete period of a sine curve is given. y 1 4 4 -3 7814 X

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Q: 6. Assume that a 3 x 3 matrix A has three eigenvalues A₁, A2 and A3. If A₁ = A₂ = 2, A3 = 6 and the…

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Q: Question 12 If A is the area of a variable square with side s, what is the rate of change of A with…

A: Solution ) area of variable square A = s2  Differentiate with respect to s  dA/ds = 2s [ formula…

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Q: Find the slope of the tangent line to y = sin x tan (즉) m =√3 2 m = T√√3 3 m = -√3 3 None of the…

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