Suppose that f(x) = 0.5 sin.x for - T). 1 | O 2 None

Q: 2. Show that by using MEAN VALUE THEOREM . u-v < tan-1 v - tanu < if 1+v2 u-v 1+p2 0< u<v and ded…

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Q: Q6. Verify 02 f exDy Dyx for the function f(x, y) = x² sin2y + y²sin2x

A: A detailed solution is given below.

Q: OYm Sin (x-1/6)

A: Laplace transferom

Q: 3. Find all values of a, b, c so that the following function is continuous for all values of x x-1…

A: Please see the below picture for detailed solution.

Q: To show that rπ/2 sin" x cos" x dx: (m - 1) (m- 3) ... × (n – 1) (n - 3)... (m + n) (m + n - 2) (m +…

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Q: dx - - In[F(x)]+C. What is f(/5) ir c = 0? For I (x+x³)(x Tan-'x+ 1) A 3 B D + 3

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Q: Use sum and constant multiple rules to differentiate the functions, indicate where the rules are…

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Q: a. as x→. tanx- b. as x→ tan x→ E. as x→0", cotx→ d. as x→0*, cotx→

A: Given query is to find indicated limits.

Q: s. Which of the following inequalities describes where sin- (sin x) = x? (a) - 00 < x < 0 (b) 0 sxST…

A: Given- sin-1sinx To Find- Which of the given inequalities hold the above exprssion?

Q: 4.x sin (In(x² + 1)) dx Evaluate I x² +1

A: In this problem, simple substitution formula is used to solve the integration

Q: sec? r da = F(x)

A: Given- ∫0π4sec2xdx=Fxab To find- The value of Fx Identity Used- ∫sec2xdx=tanx

Q: sin (3x)-2{-50<x< 50} 2 ~ 2*+7{-0.5 ≤x≤ 4.7} ~ x=-0.5{3≤ y ≤ 40}

A: According to the policy of our company we will solve the first three sub questions. If you need the…

Q: Find the definition set of the following function F(x)= √ln(sinπx)

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Q: I am stuck in this question and unsure of how to solve it.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 9. Differentiate y = cos(x3/2 In x), do not simplify. x2-4 Using Calculus, show on which intervals…

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Q: Use the prové thát 1 x| < ]x| fór áll * # 0. onclü X| S x| för åll x € R. Hint. Apply MVT to f(x) =…

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Q: Choose the correct graph of F(x) = 2 sin x; - < x< 2 T: Av 2 1 -1 -2

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Q: 25.) Use R3 to find a bound on error when P3 = x – x³ is used to approx f(x) = sin x on the interval…

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Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

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Q: pls send me answer of this question in details with explanation in details pls and i will give you…

A: The incomplete truth table is given.We need to complete the truth table.

Q: 4. f(x) if f(x) - In(sin?x cos?x) a. 4 tan 2x b. 2 tan 2x c. 4 cot 2x d. -4 cot 2x

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Q: 6. Determine the intervals on which the following function is increasing or decreasing f(x) = sin r…

A: Note here we need a interval to find out where function increasing and decreasing because it is a…

Q: 1. Differentiate. Do not simplify. а. f(0) = 3cos(0*)sin(0³ – 2) b. f(x) = 4x + 25-x² + 2x-1

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Q: dz 4-1² Siv Ans. T

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.