1)-Define the following and give an example: Derivative function - Logarithm function

Q: a, Dan, and Charlie sent a total of 134 text messages over their cell phones during the weekend.…

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Q: Cosh o= ? sinho= ?

A: To determine the value of the following expressions.cosh 0=?sinh 0=?

Q: Solve the following boundary-value problem: I y" +9y=0,;y (0) = − 1, y()=1 Ay=cos3x+sin3.x…

A: The given differential equation: y''+9y=0 ; y0=-1 ; yπ6=1

Q: (i)Suppose that g(x) = 1 + √x and f(g(x)) = 3+2√x+x, then find the function f(x) and (ii) let us…

A: Let's find function f(x) and value of c and d.

Q: Calculate the present value. (Round your answer to two decimal places.) A = $25,000, r = 6%…

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Q: 2) Determine the sum it & converges of the infinite series if 26) 2/7 (-1²-13-2)

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Q: 6. Evaluate: ធំ 4 4t cos3t dt

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Q: 7. Determine the value of the parameter a for which the tangent line to the graph of y = x² + 2ax +…

A: The given function is:y=x2+2ax+a2When x=2:y=22+4a+a2y=a2+4a+4Therefore we need to find the slope of…

Q: 4) solve y" - ay't ay when t=0. 11 = cast; y(t) = 1, y '(t) = 0

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Q: Given the vectors = (-3, -2) and = (5, -7), find 4u - 2V.

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Q: Solve the given differential equation. et² dy=x dy=x√2-ydx

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Q: The graph of y=f(x) Draw the graph of y = is shown below. 1 f(x).

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Q: Match each logarithmic equation with the property that should be used first to solve that equation.…

A: A. 2log7(x+1)=log7(x) B. log(x-1)-log(2)=log(4) C. log4(x-1)=log4(3x+5) D. ln(x+1)+ln(4)=15 E.…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

A: To find the volume of the solid, using shell method, obtained by rotating the region bounded by the…

Q: The graph of f consists of two line segments and a semicircle as shown in th A f'(x) = 0 for x = (A)…

A: here ,  we have graph of function f(x) then we have to find value of x for which   f'(x)=0since , we…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (x, y) (?, ?) Y y = x 11 X

A: Find the centroid of the region

Q: Find the derivative of the given expression. Answer f'(x) = f(x) = 14x4 Table

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Q: 3. The demand function for a particular product is given by D (x) = √0.75x² + 5x + 190 dollars,…

A: The demand function for a particular product is given byDx=0.75x2+5x+190 dollars, where x is the…

Q: 6 2+x²¹ a. Find the slope of the line tangent to its inverse function at the point P(2, 1): For the…

A: Given: The given function is: y=fx=62+x2. To find: We have to find the slope of the line tangent…

Q: For the series below calculate the sum of the first 3 terms, S3, and find a bound for the error.…

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Q: express the interval in terms of an inequality involving absolute value. (−4, 4)

A: We have to express the interval in terms of an inequality involving absolute value.

Q: 20 18 16 12 He 18 y

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Q: Let f(x,y) = 4x4y + xy4. Find 2²4 2²4 2²4 2 7 ax² ay ²¹ axay¹ and 2²f 21 əyəx

A: Let fx, y=4x4y+xy4To find ∂2f∂x2, ∂2f∂y2, ∂2f∂x∂y, and, ∂2f∂y∂x.

Q: 2₁/ If 9 -9 27=JA) = 122 - 10/ 6 Q₂/ If 48= |B1 = 18 x | -8 X 23/ If - 2 = | c | = -20 X -4 0 - L…

A: Topic:- matrix algebra

Q: Given f(x, y) = 2(z) + ycos(9x) then the total differential 2 (zy) In 2(ydx - xdy) - 9ysin(9x)dx -…

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Q: What kind of symmetry does the graph have if f (−x) = −f (x)?

A: Given: f(-x)=-f(x)

Q: The one-to-one function g is defined below. g(x) = 7x-6 6x+5 -1 Find g¹(x), where g is the inverse…

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Q: to Prove that : Ge = { in (+ + ² ) Z tan z =

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Q: A semicircle plate 7 ft in diameter sticks straight down into freshwater with the diameter along the…

A: We need to find fluid force.

Q: The one-to-one function g is defined below. g(x) = 7x 3x-5 Find g¯¹(x), where g`¯¹ is the inverse of…

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Q: lim (√x²+3x+1-x) →-

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Q: 7. Find the equation of the tangent line at the unique inflection point of f(x) = x³9x² +26x - 32.…

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Q: 2. Let f be the function given by f(x) = √T. a. Find the Taylor polynomial of degree 1 of f at x =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider a box with dimensions 3 cm × 5 cm × 11 cm. If all of its dimensions are increased by x cm,…

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Q: 3. Evaluate lim f(x), given that: x-3 A the function f is continuous over (-∞0,00). • lim f(√x) = 4…

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Q: Find the absolute extrema for the given function on the interval [6.4,13.7]. Write your answer in…

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Q: 7t+a 1. The value V of a certain good in terms of the time t is described by the function V = 7,…

A: We have to find the value of a and b and monotone intervals.   According to our guidelines we can…

Q: foxsinx COSX

A: Given, f(x)=x sin x cos x

Q: lim x-2 2 +12-4 x-2

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Q: Use differentials to approximate √17. b Express your answer as a t C Answer where a is the nearest…

A: we know dxndx=nxn-1formula for approximation is h(x)=f(a)+f'(a)(x-a)

Q: . Z= t t² +4

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Q: Find the derivative of the given expression.   y = ln((17x−23x2)3)   y' = _____

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Q: Write an equation that expresses the following relationship. w varies directly with u and inversely…

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Q: It costs $0.52 to produce a serving of Raspberry Lemonade. If you set your beverage cost percent at…

A: It costs $0.52 to produce a serving of Raspberry Lemonade. If you set your beverage cost percent at…

Q: Prove that |x|−|y|≤|x − y|. Hint: Apply the triangle inequalityto y and x − y.

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Q: Question 1.1 Four vectors a, b, c, d are given as shown in this sketch: Find the following vectors…

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Q: Answer b only

A: Topic:- vector algebra

Q: Problem 3. An insulated heated rod with a uniform heat source can be modeled with the Poisson…

A: Given: An insulated heated a rod with a uniform heat source can be modeled with the poisson equation…

Q: Problem 2. Introduce the following methods and evaluate the following int (1- - e-*)dx (a)…

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Q: N DETAILS explain how ath the beginning did we found that new york factory equal…

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