Compute the derivative: d I/ In(t° + 1) dt dx

Q: 2xyy'=1+y; whent = 2, y = 3 Ans. y = 5x-1

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Q: Find the minimum and maximum of the function in the specified interval. 1. f(x) = x² - 6x + 9 on [1...

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Q: Consider the indefinite integral dx Then the most appropriate substitution to simplify this integral...

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Q: 1 If- csc 0 – 1 + csc 0 + 1 1 = 2 sec 0, and 0 and acute angle, then the value of (cot 0 + cos 0) is...

A: topic - trigonometric identities

Q: Using the separation of variable method, solve the following differential equations dy а). = x³ y? %...

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Q: True or False: To evaluate the integral dz, 9. we use substitution withr= 3 sec 0, where Select one:...

A: Option B

Q: 19 (a) Solve In(2r)-3 In(z) 0 for r. (b) Use the following table to find the value of z from 7a-2- 1...

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Q: F (x. y) =- 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: Given Functionfx,y=3x2+3y2-18y+154-2x+4y+4We will find the domain and Draw sign diagram

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per mon...

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Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: $ Solve and convert to rectangular form. ti sin sin )

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: 10. x= cos't; y sin't

A: To find the second derivative.

Q: cos2x – sin2x cos2x For -dr =-F(x)+ C• What is F(x)? cosx - sinx A sinx – cosx) - B 2 sinx + -cos'x+...

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Q: 7. y= tane

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Q: Example 5.4.3.1 1. Find the maximum rate of change of f at the given point and the direction in whic...

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Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

Q: -3 dx /2 х-1

A: The given integral,        ∫23dxx-1

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (c) Find t...

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Q: The volume of the solid formed by rotating the region under the curve y = V5x from = 1 to x = 10 can...

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Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...

Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Q 1) Find an antiderivative for each function. 4+ /i a)

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Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: Use the First Derivative Test to find relative (local) maximum points points, if any, of the given f...

A: given 

Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is Lo (the Left-Hand ...

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Q: When a particular amount of money P, called the principal, is invested at the interest rate r and is...

A: Given interest is compounded annually, therefore n=1

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 22n+2"+1...

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Q: vas y dS

A: Use simple integration formula.

Q: The expression below is an evaluation of which integral? * 1 2 + 83 In|w| In|u² + 9| +c 18 2+ w4 dw....

A: option 3 is correct, see the solution, please thumbs up, if your doubt is cleared.

Q: 5. Find the area bounded by the curves y = x2 – 2x and y = 5x. Give exact answer.

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is R6 (the Right-Hand...

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Q: True or False: If 3 In|x-3|+B In|x+2|+C (x-3)(x+2) then B = 5 Select one: O True O False

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 80,000 – 900p ...

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Q: 3. tan(xy) +xy 0

A: This is a problem of differentiation. Based on the general formula of derivative we will calculate t...

Q: 8969 2. find 121 detA)? OY

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the ...

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the ...

Q: +00 n Σ n² + 2-n n=1 WI

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Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

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Q: If a rock is dropped from a height of 249 ft, its poistion t seconds after it is dropped until it hi...

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Q: Given the series 2-1 Lx=1 (1+ln²x)x 1. Justify if the series can be proved using the integral test g...

A: Given problem:-  

Q: x2 - 3x - 10 s 0 ² - 10 s 0 O [5, 0) (-0∞, -2] or [5, ∞) O(-00, -2] O(-2, 5]

A: Topic = Inequality Correct Answer [-2,5]

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

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Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: Evaluate the integral. Answers should be expressed as an integer (no decimals), no spaces, no units....

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Q: ACID MIXTURE: A chemist needs 10 liters of a 25% acid solution. The solution is to be mixed from thr...

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Q: 2. Evaluate lim x-4x+1 X-1 x-1

A: I am attaching image so that you understand each and every step.