Find an equation of the tangent line to the given curve at the specified point:  y= ( sqrt(x) )/(x+5), (4, 2/9) y=

Q: 4 -2 -3 -4 -6구 The graph above is a transformation of the function f(x) = |x| Write an equation for ...

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Q: 1. lim 3" 2. lim 5* 2 3. lim log r

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

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A: Given: Initial radius = 2.5 in Final radius = 3.0 in

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A: We need to find if series converges or not.

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Q: Evaluate the following integral by interpreting it in terms of areas: 3 dæ Value of integral =

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Q: a quadratic function f is given  f(x)=-4x^2-12x+1  a) express fin standard form  f(x)= b) find t...

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Q: Evaluate the integral (7 – 2x) dæ by interpreting it in terms of area. Answer:

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Q: Use the graph of f(x) = e* below to complete part a and b below.

A: Given:- The function is, f(x)=ex and the graph is, To find: - The value of limx→-∞ex

Q: Answer C/DC a. lim f(x) X-2 b. lim f(x) c. lim f(x) -3 -2 -1 -1 X--2 d. lim f(x) x-5 -2 -3 e. lim f(...

A: follow next step

Q: Given that f(x) = x² g(x) = x + 15, find 11x and | (a) ƒ + g = (b) ƒ – g= (c) fg = (d)

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Q: | sech²xtanh²x dx

A: We can find the integration as below

Q: 1. The angle of elevation to the top of the Empire State Building in New York is found to be 11° fro...

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Q: # 8.) (8 # dy + Bernoulli s D.E, dx - 3xy2 dx =0> DET. THE GEN, soL'N OF THE D.E.

A: As we know that; The standard form of Bernoulli's equation is; dydx+Py=Qyn Where; P& Q is the fu...

Q: 3x+4 > [1] S dx x² +3x+2

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Q: a) The cost of first-class postage stamp was 5¢ in 1965 and 50¢ in 2010. This increase represents ex...

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Q: Find the vertex of the parabola by applying the vertex formula. 2. f(x) = 4x - 16x +3 The vertex is ...

A: We can find the vertex as below

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is ...

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Q: Question 11, 3 Use the properties of limits to help decide whether the limit exists. If the limit ex...

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Q: dt 4е-t — et

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Q: x = 6t + 2, y = 5, z = -t + 1 x = 2s + 2, y = 2s + 5, z=s+1

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Q: a The integral that represents the length of the curve 7 (t) = <2/t,cos (2t3/2), sin (2t3/2)) where ...

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Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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Q: Let " 12.5 9.5 12.5 f(x) dæ = 9, f(æ) dæ = 5, | f(x) dæ = 2. 8. 11 11 Find f(æ) dæ 9.5 9.5 | 9f(x) –...

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Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can t...

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Q: 4 Find the arc length of y = (**) + 2(x+3)? over [1,4]. %3D (Use symbolic notation and fractions whe...

A: Here we have to find the arc length of the given function.

Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: Solve the given initial-value problem. y"' + 4y" + 4y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -6 y(x) = %...

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Q: If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

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Q: Evaluate the integral cos(9t)cos(18t), from 0 to pi/2

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Q: Solve the separable equation using the integral factor  y⁴ y¹ + y¹ + x² + 1 = 0

A: Here, the given differential equation is: y4y'+y'+x4+1=0⇒y'(y4+1)=-(x4+1)⇒(y4+1)dydx=-(x4+1)⇒(y4+1)d...

Q: For the following differential equations, determine a. order b. degree c. linearity(yes or no) d...

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Q: 2 dx (х-3)6 V-x2+6х-5

A: Given:      ∫2x-36-x2+6x-5dx     =2∫1x-36-x2+6x-5dx substitute u=x-3→dudx=1→dx=du                  x...

Q: Problem 2: (2y cos a + sin x) dæ sin a dy when a = , y = 1

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Q: Express the following limit as a definite integral. n 1 lim Σ -Axg where P is a partition of [2,3] 1...

A: From the definition of the definite integral of f from a to b , we have               ∫ab f(x) dx =l...

Q: ermine the value of if y =2 and x changes from 0.75 to 0.5.

A: Please refer to the image below

Q: Evaluate f(x) dæ, where S6z*, (3 sin(x), 0<æ < a. π<=<ο f(x) = f(x) dx =

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: C f (x) E B. А F

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Q: Find the explicit solution to the initial value problem y′ +2y=e−x2−2x;y(0)=3.

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Q: A patrol car is parked 35 feet from a long warehouse (see figure). The revolving light on top of the...

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Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

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Q: 8. Convert to degree measure. Round the answer to 2 decimal points. 2n/7

A: (a) Given:- The radian measure is, 2π7 To convert: - The radian measure to degree measure.

Q: What is the slope of the tangent line passing through y = x^2 − 3x − 5 at (−1, −1)?

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: The function f (x) is graphed below. How many points on the graph represent a relative extreme value...

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Q: 17 O. 32 B Find the measure of each side indicated. Round to the nearest tenth. 5) 6) 43 6. 57 43° C...

A: Topic:- Geometry

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...