Solve 12 sin (t) + 2 cos(t)- 8 = 0 for all solutions 0

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A: Given query is to find the derivative and equation of tangent line.

Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

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Q: As x approaches 5 the value of 2x+ 8 approaches

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Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

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A: Here is the solution

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Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

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Q: 3. Determine the balance A for $7,000 invested at a rate of 4.5% for 20 years, compounded a. Monthly…

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A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2   (1). Given: y=u28…

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Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

A: We have to find domains

Q: 14. %24

A: For determining the continuity of a function from its graph , we need to examine whether the graph…

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Q: The limit im (x - cn -) lim (x· cos x-00 is an indeterminate form of type 0 · ∞. Select one: True O…

A: Here, the given expression is: limx→∞x cos 1x

Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

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Q: 2. Let A = (1,0, 1) and B (0, 1, 3). Solve for projaB. %3D

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Q: Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

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Q: 13. Use a polar integral to find the area of the region defined by - Cos 0 KA<T

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Q: the

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

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A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…

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Q: 32 Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, 2) and…

A: Given problem:- Suppose that f(x, y) = x3 y2 . The directional derivative of f(x, y) in the…

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Q: Classify the statement as either true or false. If f is continuous at x= 2, then f(2) must exist,…

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A: Here we have to use the concept of limit.

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Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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A: Two triangles can be formed by using the given measurements. The other measurements of the triangle…

Q: (1 - cosx) dx Evaluate: cosx(1 + cosx)

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Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: 4. Find the Linearization of f (x) = sinx at a = 7. Provide your answer as L(x) =?

A: Here we have to find the linearization of f(x)

Q: 1 erivative of x²+2

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Q: (sec2 x + csc2 x)cos2 x dx

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