Use a sum or difference formula to find the exact value of sin 75°. -V6 - V2 4 02 + V3 V2- V6 | 4. V6 - v2 4 O1 V6 + v2

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A: We can find the derivative as below.

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Q: (a) y = x2 – 2 and y = 2 -

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Given that 0 = 1, which of the following shows that sinecsce = 1?

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Q: . Evaluate f(12x² + 2x)dx a.) + 2x + C b.)꼭+ 2 +C c.) 4x² + x² + C d.) 3x³ + 4x² + C 3. Evaluate f d...

A: Topic:- integration  

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A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real zer...

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A: Use geometric series test to solve given problem.

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Q: et f(x) = /1– x and g(x) = . - Determine the following composition and its domain. fof

A: Given query is to find indicated composite function and it's domain.

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A: see below the answer and calculation

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Q: sine +tane is equal to cos e 2 cot 0 2 cot 20 tan 20 2 tan e

A: We have to find value of sinθcosθ+tanθ

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Q: 5x dx 4. To evaluate the integral J which of the following formulas can be used? V9+x10 du In(u + vu...

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Q: Determine whether integral accurte to 8 7 J3 x – 4

A: Given, ∫387x-4dxwe know thatIf exist b, a&lt;b&lt;c, fb=undefined, ∫ac fxdx=∫ab fxdx+∫bc fxdx

Q: 3 -11 ) If D = A? - 3A + 41, find a matrix D where A = -2 1 4 and I is identity -3 matrix of order (...

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Q: Simplify sin?g + sing csce + cos?g. 2 1

A: We can find the answer as below.

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A: Given query is to simplify the expression.

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Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A: a.)  Assume the model: d(t)= at+b From the question: 4a + b = 5.5 --------1 7a + b = 3    --------2 ...

Q: Use any method to determine whether the series converges or diverges. Σ k + 1 k=1

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Q: sec 30°cos 60° = 1

A: NOTE: Refresh your page if you can't see any equations. . as we know, 

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Q: dx (Be* a arcsin + C 4e-2x-25 ß Find : α + β +δ

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Q: Find the difference quotient f(a+h)-f(a) if f(x) = 2x – ! - 1 h

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: The given series,       ∑k=1∞-1011k-1

Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a Xー→C possible funct...

A: To sketch the function with the given details.

Q: ts Let the graph below be the graph of one wavelength (period) of f. Then f(x) = . 3. 2 -2 -3 03 sin...

A: Let's find. 

Q: Examples: Find the limits of the following: 1. lim sinx = sin1 2. lim cosx= cos (-1")= 7 x-1* 3. lim...

A: 1) limx-1- Sin-1x 2)limx--1+ Cos-1x 3)limx-infinitytan-1x.

Q: x3 dx = (x* +4)2 8.

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Q: Write the first five terms of the sequence: +0o {vn² + n = - n}n-1 Determine whether the sequence co...

A: See the details solution in below

Q: k-1 10 %3D 11 k=1 The series diverges

A: By geometric series sum formula,           ∑n=1∞ -1011n-1=11+1011=1121 So, the series converges.

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Q: 16. Evaluate S x² cos(x³) dx a.) -sin(x³) + C b.) sin(x') + C c.) - sin(x³) + C d.) sin(x') + C

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Q: The function f(x) 2x 36x + 162I - 7 has two critical numbers. The smaller one is x = and the larger ...

A: The critical number of a function f is a number c such that either f'(c) =0 or f'(c) doesn't exist.

Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1