Law of Cooling (disregard guessing) Use differential equation and modeling to solve and find the time

Q: Find the equation of the tangent and normal line of the function f(x)=√2x-1 at the point (5,3)

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Q: Determine the base function that has been transformed, describe the transformation, then sketch a gr...

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Q: Is this Roller Coaster Safe to Ride? You have been asked to judge a design contest for the newest ro...

A: This is a problem related to curvature of rollar coaster path. Based on the amplitude and wave lengt...

Q: If f(x) = 6*2X, then f"(x) = %3D %3D Select one: a. 6*2% (In (2))2 O b. 36 *2% (In (2))2 O c. 6* 4x ...

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Q: Find the radius of convergence and the interval of convergence. 00 5k k=0 Choose one Radius of conve...

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Q: evaluate fsin.x dx inx dx JT+sin x A secx- tanx - x +C B secx + tanx +x+C C) secx + tanx - x + C

A: Here we have to evaluate, I=∫sinx1+sinxdx

Q: 680 -59 -0 - 0] q? 600 69 - - 0-01 q? - 680 DIFFREN TIATE d Pla) = q? -reo] 2 0.0) q-680] da da 600 ...

A: topic - differentiation

Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = %3D (1 + x)5 00 Σ f(x)...

A:     Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''...

Q: z = 3x1 + x2 sujeto a x1 + x2 < 4 min X1 + x2 2 2 X1 – X2 2 2 X1, X2 2 0

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Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

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Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple questi...

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 2x – x3 dx J (x – 1)2(x² + 1)

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Q: implify the difference quotient by rationalizing the numerator. Vz - 8 - Vz 8 ead more about Topic 1...

A: We have to find rationalization

Q: 2 Estimate the minimum number of subintervals to approximate the value of I7x +4 dx with an error of...

A: We have to find minimum no. of Subintervals by given asking method. 

Q: PERFORMANCE TASK Create a general rule in finding the limits of transcendental functions by stating ...

A: Limit of transcendental functions.

Q: x²-1 dx 1. S

A: Given: I=∫x2-1xdx   ...1   We know that the trigonometric identities; (1). The Pythagorean identitie...

Q: Let y(x) be defined implicitly by G(x, y(x)) = –9x7 + 12y + e" = 0. Compute - in terms of x and y. (...

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Q: dy/dx

A: We will perform implicit differentiation. 

Q: Vx2-1 dx

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of...

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Q: Consider the function f(x) = 2x 3x- 36x + 54. a. Find the first derivative. f'(x) b. List any critic...

A: For critical values , f'(x) =0. If f'(x) &gt;0 for every x on some interval I , then f(x) is increas...

Q: A4 The graphs of x = 6, y = h(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to ...

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Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid cur...

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Q: Find a particular solution to the ODE below using undetermined coefficients. Use t as the independen...

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Q: lim + sin(x)cos(x) 1+ In (x)

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Q: dx 5. S xV16-9x2

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Q: the error estimate for Taylor polyno

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Q: 2r (1- lim

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Q: Given the graph below, evaluate the following limits: = b Retrieved from:basiccalc_initial_release_1...

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Q: dx 4. S x2Vx2-9

A: The given integral is  ∫dxx2x2-9

Q: 1. S Vx²-1 dx dx 4. S x² /x2-9 dx 5. J 16-9x 2. S dx x/16-9x2 4-x2 3. J 1+x2 dx

A: Given

Q: Identify the most appropriate differentiation rules to be used in findıng the derivative of the föll...

A: topic - derivative rules

Q: 1 Evaluate e" cos 2z z dz COS 4 32/65 e^(2z) cos(z/4) - 4/65 e(^2z) sin(z/4) + c O 32/65 er(2z) sin(...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: What are the types of discontinuity? describe each

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Q: Find all of the critical numbers of the function g(0) = sin 0 in the interval (0, 37). (a) r = #/2, ...

A:  A detailed solution is given below

Q: f (x) = 2x2 – x + 6 -

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: tanwdw 1- tan¯w

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Q: A person is holding a kite 5 ft above the ground. The kite gets stuck on a 20 ft tree. As the person...

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Q: a Suppose f da exists. If a > b then " f da = L" f da. а a

A: False. 

Q: What is differentiation

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Q: the

A: We will find the local minima, maxima, and inflection points.    

Q: i da

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Q: For items 18-19: A particle is moving on a line at t seconds, s ft is the directed distance of the p...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Differentiate: f(x) = 4x³ - (5/x²) %3D O a. f(x) = 12x2 - (10/x³) O b. f(x) = 12x2+ (10/x³) O c. f(x...

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Q: d²y = 5x? + 1 dx2

A: First we integrate both sides with respect to x and solve it. Follow 2nd step.

Q: 2. SOLVE THE GIVEN SYSTEM OF LINEAR EQUATIONS BY GAUSS-JORDAN METHOD. 3a + 4b + 3c + 5d = 23 2a + 3b...

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Please see the below picture for detailed solution.