Question 6 Evaluate the following limit. lim o g(x) +0 Does not exist y y= g(x) 0 i x 3 pts Question 3 For the function f(x) whose graph is given, find lim →2 f (x) +2 x 3 pts

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Q: Total marks 15 4. : Let f R2 R be defined by f(x1, x2) = 2x²- 8x1x2+4x+2. Find all local minima of f…

A: Step 1: Compute the partial derivatives fx1​​=∂x1​∂f​=4x1​−8x2​fx2​​=∂x2​∂f​=−8x1​+12x22​Step 2:…

Q: 15. Find the exact value. (a) log4 16 (b) log7 1 49 (c) logs 3/25

A: Step 1:Step 2: Step 3:  if you have any related queries, feel free to ask !!! Step 4: thankyou 🙏💛

Q: the correct answer is A could you show me how to solve this using gauss theorem of divergence

A: Step 1: Compute the Divergence of F: div F=∂x∂​(5x−3y)+∂y∂​(2x−5y)+∂z∂​(x2+y2+3z)=5−5+3=3. Apply the…

Q: 3. Consider the sequences of functions fn: [-T, π] → R, sin(n²x) n(2) n (i) Find a function f : [-T,…

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Q: A house was valued at $95,000 in the year 1988. The value appreciated to $170,000 by the year 2007.…

A: We know that, the formula for exponential growth is:FV=PV×(1+r)tWhere:FV = Future Value PV = Present…

Q: Could you explain this using the formula I attached and polar coordinates

A: Approach to solving the question: Lets Solve this question By Using Stokes' TheoremStokes' Theorem…

Q: 6. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.001. ASK YOUR TEACHER PRACTICE ANOTHER Let I = 4…

A: We need to approximate the integral I=∫04​f(x)dx using three Riemann sums:  Left Riemann Sum…

Q: Suppose an oil spill covers a circular area and the radius, r, increases according to the graph…

A: a) We have to find the radius at t = 30 minutes of the oil spill.Now, according to the given graph,…

Q: 1. Show that the vector field F(x, y, z) = (2x sin ye³)ix² cos yj + (3xe³ +5)k satisfies the…

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Q: 1) Show that the force response of a MDOF system with general damping can be written as: X liax) -Σ…

A: Step 1: Step 2: Step 3: Step 4:

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.

Q: Solve please thanks!

A: ANSWER :​

Q: sy = f(x) + + + + + + + + + X 3 4 5 7 8 9 The function of shown in the figure is continuous on the…

A: We need to identify a point from the given points A,B,C,D in (0,9) which satisfy both the…

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Q: Find dydx for y=tan(5x)/7e3x.dy/dx =

A: Ans:

Q: Write an equation for the graph below. +10+ 9 10 -9 -8 -7 -6 -5 -4 -3-2-1 8 7 6 5 4 3 2 1 1 3 4 5 6…

A: The given graph resembles the natural logarithm function f(x)=ln(x). Key Observations:Domain…

Q: 2. Suppose that U(x, y, z) = x² + y²+ z² represents the temperature of a 3-dimensional solid object…

A: Approach to solving the question in an Easy Way: We are given the temperature…

Q: Solve please and thanks!

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

Q: Number 19. please show work

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Q: 4.1 Basic Rules of Differentiation. 1. Find the derivative of each function. Write answers with…

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Q: 3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a…

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Q: Simpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper…

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Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = -2 to x = 2.…

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

Q: "Solve the following differential equation using the Operator Method and the Determinant Method:"…

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Q: Find the derivative of the function. 9x² -x y= (5x - 7)

A: f(x)=9x2−xg(x)=(5x−7)9Quotient rule states thatf′(x)=d/dx[​(9x2−x)]= 18x−1g′(x)=9(5x−7)8⋅5=…

Q: 0 5 -1 2 1 N = 1 to x = 3 Based on the graph above, estimate to one decimal place the average rate…

A: It is required to use the graph above to estimate to one decimal place the average rate of change…

Q: 6. Given the following graph f(x). (-2,2) 2- -5 -3 -2 (-2,-1) -1 (0,1) -2- 1 (3,0) 2 3 4 5 (3,-1) א…

A: (a) f(−2)This notation suggests the function value at x = -2.Notice that there are two values of f…

Q: 7. The concentration of a drug in a patient's bloodstream h hours after it was injected is given by…

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Q: 3.17 (B). A simply supported beam has a span of 6 m and carries a distributed load which varies in a…

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Q: 11 fr² Find√² du In(x+u)

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Q: For the volume of the region in the first octant shown in the adjacent Figure. It is bounded by the…

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Q: According to Newton's law of universal gravitation, the force F between two bodies of constant mass…

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Q: 6 5 4 3 2 1 -5 -4-3-2-1 1 5 6 -1 23 -2 -3 -4 -5 The graph above is a transformation of the function…

A: Step 1: Understand the Basic The general form of an absolute value function is: y=a∣x−h∣+k• h:…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Find area of the sector

A: To find the area of the sector, we can use the formula:A=2πθ​×πr2     where:A = Area of the sectorθ…

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A: Step 1:Let the distance covered by the first car be x and the distance covered by the second car be…

Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

A: NOTE:-The term "sen" in the given equation refers to the sine function in Spanish and some other…

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Q: Required information A telephone cable is clamped at A to the pole AB. The tension in the left-hand…

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Q: Question 1: If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p = 13.6…

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. S- dy 18 √2…

A: The given integral is:I=∫183y2​(1+y2/3)dy​ Step 1: Substitution  Let:y1/3=t Then,y=t3sody=3t2dt…

Q: 3. Find the slope and the equation of the tangent line to the graph of the given function at the…

A: Question 3. We find the equation of the tangent line to the graph of the function f(x) = x-4 - x-3…

Q: A particle travels along a straight line path given by s=9.5t3-2.2t2-4.5t+9.9 (in meters). What time…

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Q: help on this question about Laplace transformation?

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Q: ● Question 7 Solve the equation. log2(3m - 5) = log2(m +8) m n = Question 8

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