6. x+1 f(x)= x?ーx-2 !! 8. f(x) オー1 10. sa) = {*, **1 s(x) = 0, %3D X=1

Q: A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t, where t is...

A: Given:- A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t4 , ...

Q: Twenty students like both the first (Set A) and second (Set B) techniques in solving a mathematical ...

A: We will find the solution in the following step.

Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

A: Topic:- integration

Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,

A:

Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direct...

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Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

A:

Q: 6. *+1 f(x) = 2-x-2 8. s(x) = - x-1 %3D 10. x², x*1 s(x) = x = 1

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: Find the derivative of the function using the definition of derivative. g(x) = /2 – x g'(x) = State ...

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Q: Evaluate S dx by letting u = x – 1. The given integral can be transformed to S h(u)du. If we evaluat...

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Q: Determine the infinite limit. lim In(x2 – 25) x-5+ 00 -00 8

A:

Q: dt 4е-t — et

A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet  et=uthen∫et4-e2tdt=∫14-u2du

Q: Evaluate the following indefinite integral. dt = +C

A: topic - indefinite integral

Q: Jon's bathtub is rectangular and its base is 12 ft. How fast is the water level rising if Jon is fil...

A: Find your answer below 

Q: SF S"(x² cos y – sin x) dxdy 2

A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: At a sand and gravel plant, sand is falling off a conveyor belt at a rate of 36 cubic feet per minut...

A:

Q: Give the coordinates of the vertex of the graph of the function. Graph the function on a window that...

A:

Q: cos4 cos* x

A: Follow the procedure given below.

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

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Q: 2- 2 +y = 0 when y (0) = 1 , y' (0) = -1 %3D

A: Follow the procedure given below.

Q: A matrix that is not square can still have an inverse.

A: Inverse of a matrix.

Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear ...

A:

Q: Let z(x, y) t° & y = 1+ 6t. = xe9 where x = dy and using the chain rule. dt dx dz by first finding d...

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Q: Given f(x)=−2x^2+4x+13, find f′(−4) using the definition of a derivative.

A: f'(a) = limh→0 f(a+h)-f(a)h.

Q: Given the following table, give the best estimate for f'(3) 6. 12 15 f(x) 30 41 51 60 28 The estimat...

A: Function values are given in the table, we have to find the estimate for f'(3)

Q: Find values of x, if any, at which 2x f(x) = x – 15 x + 7 is not continuous (enter as comma separate...

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A:

Q: sin z Differentiate y =

A:

Q: Calculate the Taylor polynomials T, and T3 centered at x = a for the function f(x) = 19 1n(x + 1), a...

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

Q: Pn 1995 Hhe moose papulalion n MeaSured to be 1900.TTBa, 1994, Hbe Was, eaSuned agaio to be Uu400.1f...

A: Given query is to find the formula for the function P.

Q: Evaluate the integral. 5n /2 2, 1 - cos t dt 3π/2

A:     ∫3π25π21-cos2tdt=∫3π25π2sin2tdt=∫3π25π2sintdt=∫3π22π-sintdt+∫2π5π2sintdt=1+1=2

Q: Use the Trapezoidal Rule to approximate the given integral with n = 8. (Find T8.) Round your answers...

A:

Q: (- 5x +7 if a 3 Let f(x) = Find lim f(x) , if it exists. O-8 O DNE О- 25 09

A:

Q: B. IDENTIFICATION, Determine if each function is continuous. If the function is not continuous, find...

A: Infinite discontinuity is  a type of discontinuity where one sided or both sided limit go towards in...

Q: Use the quadratic formula to solve the equation. (Simplify your answer. Type an exact answer, using ...

A: Given query is to find the solution of the quadratic .

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results from (a) shifting...

A: NOTE: Refresh your page if you can't see any equations. . the base function is  . the graph of y=f(...

Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: 81. What is wrong with the following calculation? 0 =0 +0 + 0 + ... = (1 – 1) + (1 – 1) + (1 – 1) + ...

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Q: If {xn} is a bounded sequence on R. Prove: lim n→+∞

A: Given  sequence xn is bounded  we want  to show that  limn→∞xnn=0

Q: Save your solution for this problem to answer the other problem connected to this. Consider the curv...

A:

Q: Let f(a) = V5z + 2x + 5 f'(x) = [ f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

A:

Q: f(r) = 4² and g(x) = 3². What is f'(2) = What is g'(2) = Which has a higher rate of change at r = 2?...

A: Given that: f(x)=4x and g(x)=3x

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: If f(x) = sin(x), find f'(x). Find f'(4).

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Q: Solve the differential equation: (2y+3)y'=-(1-3t²)

A: Given that: (2y+3)y'=-(1-3t2)

Q: 47-50. Level curves Consider the paraboloid f(x, y) = 16 %3D - - 4 16 and the point P on the given l...

A:

Q: Use the chain rule to find the derivative of f(r) = 6/7x + 4r³ | Type your answer without fractional...

A:

Q: Let F(x) You also know that f(3) = 15, f(15) = 2, f'(15) = 9, f'(3) 5 f(f(x)) and G(x) = (F(x))² Fin...

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Q: Given the following table, give the best estimate for f'(9)- f(9) 6. 12 15 f(x) 37 42 48 64 23 8. Th...

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Q: | sech²xtanh²x dx

A: We can find the integration as below