Find all values of x for the given function where the tangent line is horizontal. 3 =√x³-12x² + 45x+5

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A: 1.  f(x)=5x−11 Derivative:  f′(x)=dxd​(5x−11)=5    2.  f(x)=−x3 Derivative: f′(x)=dxd​(−x3)=−3x2…

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A: Step 1: Step 2: Step 3: Step 4:

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: If you have any questions let me know in the comment box thankyou.

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A: Approach to solving the question: Detailed explanation:Examples: Key references:

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A: Given function: h(x,y,z)=y7−4xln(x)−z​+y43x2z​−e2xyln(z)+10y2z We need to compute the partial…

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A: Let us analyze the transformation of the graph of f(x) = x2 as follows:Step 1: Identify the key…

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A: Here's the detailed explanation:Part (a):Problem: Find the average rate of change of the function…

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A: We draw the common graph for part (a) and part (b) after solving part (b)   Therefore, the graph…

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A: Approach to solving the question:let's solve the differential equation using the Laplace transform.…

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A: Part (a): Simulating Brownian MotionWhat is Brownian Motion?Brownian motion is a continuous-time…

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A: If you have any help please let me know in comment box thankyou.

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A: If you have any questions let me know in the comment box thankyou.

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A: The integral we are trying to solve is:∫02x2dx

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A: We are given a magnitude of 23 and an angle of 45 degrees with the positive x axis.The vector in…

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A: Approach to solving the question:To find the Fourier expansion of  f(x)=eax in the interval [−π,π],…

Q: 2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below. a. Evaluate f(-3). If you…

A: If you have any help please let me know in comment box thankyou.

Q: "l Use implicit differentiation to find Əz and az ах 2 22 ay 3 x ² 2 - x², ² + 22² = 3 y 2 - 5=0…

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A: Let's solve the problem step by step.Given the equation of motion: s=t3−6t2+9 Step 1: Find velocity…

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A: Final Answers: (f)limx→∞​exx​=0. (g)limx→∞​lnx=∞. (h)limx→∞​x−5=0. (i)limx→∞​arctanx=2π​.…

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find a · b. a = 2 = (3, 1, 1), b = (7,-5, -6)

A: Step 1: Identify the formula to be useda • b = a1b1 + a2b2 + a3b3  Step 2: Identify the givena =…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: #70

A: We evaluate the integral:  ∫x3x4−6x2−7​dx  Step 1: Simplify the integrand Divide each term in the…

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Q: 5 4 3 21 N -5-4-3-2 -1 -2 -3 -4 1 2 3 4 5 -5+ Write an equation for the function graphed above y =

A: — EXPLANATION —

Q: please dont use chat gpt

A: Solve this question step by step with full calculations.

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A: 1. Function Analysis:- Given function: f(x) = (x+3)2- Behavior of the function: This function is a…

Q: 8. On what intervals, each function continuous? (a) f(x) = 3x11 + 4x²+1 3x²+5x-1 (b) g(x) = x²-4 X,…

A: Step 1:Step 2: Step 3: Step 4:

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: DETAILS MY NOTES SESSCALCET2 6.3.017. 1. [-/1 Points] Evaluate the integral. - - dy y(y + 2)(y-3)…

A: Step 1:Step 2: Step 3: Step 4:

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A: (f)  limx→∞​exx​ Step 1: Identify the Growth RatesThe function in the numerator is x.The function in…

Q: 4. In Theorem 5.4 in the Lecture Notes we proved that if F: RN → Rm is differentiable at x = RN then…

A: #####(i)The proof of the continuity of  F  at  x  relies on the differentiability of  F  at  x . The…

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A: 1. Fourier Transform of f(x):  2. Evaluate the Fourier Integral:  3. Deducing   Final Answer:…

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A: Here are the calculations;(b) Interest Earned:Interest=A−PInterest=50000−36759.66Interest≈13240.34…

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A: Step 1:Step 2:Step 3:Step 4:

Q: 3 4/3 3213 + 8 for 1 ≤x≤8. Find the length of the curve y=x

A: To find the length of the curve  y=43​x4/3−83​x2/3+8 for 1≤x≤8, we need to compute the arc length…

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 5. Construct a (2 × 2) matrix that performs the following linear transformations, in order, at once:…

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Q: Think of this sheet of paper as the plane containing the vectors a = (1,1,0) and b = (2,0,0). Sketch…

A: Diagram of the parallelogram:Here,a=OCb=OA And a - b is the diagonal AC.