Application 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of a and b ommus icotion

Q: 2. b. lim a Csinza +cosa sin29) のッb ト Co」?a

A: find limit

Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

A: d) The graph is continuous.Since there is a sharp point at x=0.So, it is not differentiable.It is…

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find the volume of the parellelepiped having given  adjacent  sides u,v and w.

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = X-in(x) given the…

A: We can solve this as follows:

Q: Prompts Ssin(3x)sin(4x)dx

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Q: Find the exact area of the surface obtained by rotating the curve about the y-axis: y = 3 + 5x2 ; 3…

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Q: 10) Find the cross product a x b and verify that it is orthogonal to both a and b. a =  j + 7k,…

A: Let's find.

Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

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Q: dx 3+x4

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Q: k2020k Consider the series > ak = k!. k-1 k=1 a) What is ak+1? ak-1 aktl? b) What is ak ak-1/a ak+1…

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –…

A: Let's find.

Q: u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the vector component of…

A: We have to find projection

Q: - (1+æ)y = xy?

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: 0; x 0

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Q: xydy – (y² – 3x²) dæ = 0

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Q: 3. For f(x) = rV9-x, find a). domain, b). f', the intervals on which f is increasing or decreasing;…

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Q: // V9 - y? dA, where R= [0,4] × [0, 3] R V9 – y? is (Hint: In this question, since V9 – y? > 0 in R…

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.701 and y =…

A: Let's find.

Q: 4. y = 5 cos 4x, 3rd derivative

A: Since we are given with the multiple number of question answered according to the guideline

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.669 and y =…

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Q: Condene each exprossion to a sngle logaritim 5 layz 4+ 109ga 2+ layaw+logz* 3. 2. + log qfu + loy ab…

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Q: 1-х 3 c) y = xx

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Q: Sudv= 2x)dx can be evaluated using integration by parts of the form v=uv

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Q: 10. y = cos In 7x6

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Q: A rectangular flower garden with an area of 390 m² is surrounded by a grass border 1 m wide on two…

A: Area of garden =390m2vertical height of garden = hthen length of other side of the garden is…

Q: y = 4 + cze3x

A: We can eliminate the arbitrary constants in the following steps.

Q: Differentiate the function: a) f(x) = e10z–2» = el003-2x b) f(x) = Vª + 2 c) f(x) = (4x7 – 2x*)5

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Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

Q: The world population was 6.9 billion at the end of 2010 and is predicted to reach 9 billion by the…

A: a) Given:      The world initial population P0=6.9 billion        Predicted population          P=9…

Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the next…

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Q: clurs thal salisly 1. The unit vector in the same direction as (-3, –5) is

A: According to company rules.. I need to solve first question when multiple questions are posted

Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 18) 3 v = 6 O parallel O…

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Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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Q: The area of a sector of the circle with an arc measure of 45° and with a radius of 4 is A 16л 45° 4…

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Q: representing all ellipses having its centers at the origin and transverse axis x. a " + (w/)*] + yw…

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Q: The value of investments in the stock market change daily.  Suppose you buy a stock for $4,437.  It…

A: percentage

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x2In(x) given the…

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Q: da = 1+ ey-a+5 || e5 + e#+y C = xe-5 – e-y Option 5 Option 1 C = xe – e-y ea-y None of the Choices…

A: We know, ∫emxdx=emxm+C, C is a constant and for any real number m.

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

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Q: Astivity 3 tird the dentve of 2メー3 うメー2 ensing the definitiom

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Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate…

A: Let's find.

Q: 16. Which of the following statements is true? A. The slope of a line can be applied for curves or…

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Q: (1+ ye* + xye")dx + (xeª +2)dy = 0 C = xye + 2y + x C = xye" + 2y – x O Option 3 Option 2 C = xye –…

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Q: You want to choose a committee of 5 people from 7 men and 8 women. In how many ways can this be…

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Q: Consider the function below. 4X f(x) = (a) Use a graph to estimate the value of the limit of lim…

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.406 and y =…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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