Question Is the function f(x) shown in the graph below continuous at x = -5? f(z) 7 6 5 4 2 1 0 -10 -6 -5 -4 1 0 2 3 5 7 10 -1 -2 -3 -4 -5 Select the correct answer below: The function f(x) is continuous. The right limit exists. Therefore, the function is continuous. The left limit exists. Therefore, the function is continuous. The function f(x) is discontinuous. We cannot tell if the function is continuous or discontinuous.

Q: Q2. Find the points on the ellipse x²+4y² = 1, where f(x, y) = xy has its extreme value. Q3. Find…

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Q: Explain to me why the answer is: 4a⁷b⁶ if not then defend yours

A: The problem is asking us to simplify the expression (4a3b2)(-2a2b2)2 using the laws of exponents.

Q: Sketch a graph of f(x) = 2(x − 2)² − 3 4 3 2 1 5 ས་ -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5+ Clear All…

A: Key references:https://youtu.be/TxPDQfWeAUg?si=auU0w_nfOyr6mRyU

Q: 3 y 7 Find the length of the curve x= + on 3 ≤ y ≤5. 21 4y

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

Q: find the Laplace transform. Then express the given function f in terms of unit step functions

A: GIVEN : ​​ STEP : 1 ​​ STEP : 2 ​​ STEP : 3 ​​ STEP : 4 ​​ STEP : 5 ​​ STEP : 6 ​​   Let's express…

Q: helppp

A: sin(20/3)=0.374

Q: could you explain this as well as disproving each wrong option

A: Step 1:   Step 2:  Step 3:    Step 4:     Step 5: (D).Hence it is false.

Q: Total marks 15 3. (i) Let FRN Rm be a mapping and x = RN is a given point. Which of the following…

A: Part (i): True or False Analysis(a) If F is continuous at x, then F is differentiable at x.Answer:…

Q: 5 Use the method of disks to find the volume of the solid that is obtained when the region under the…

A: Given: We are given the function:   y=x​5​ over the interval [4, 17].   The region under this curve…

Q: Please help me with these questions. I am not understanding what to do. Thank you

A: ANS :1 ​STEP 1  STEP 2  ANS :2 ​ (a) ​​ [ i ]STEP 1  STEP 2  [ ii ]    (b) ​​ [ i ]STEP 1 STEP 2   […

Q: 1. Sketch the following piecewise function on the graph. (5 points) x<-1 3 x² -1≤ x ≤2 f(x) = = 1 ४…

A: For x &lt; -1: f(x) = 3 ( horizontal line at y = 3 ) • We can draw a straight line (ray)  through…

Q: if w(x, y, z) = sin' ( xyz) (y zî + x z j + xy k) Find grad (div) at (0.5, 1, 0.5) (xyz)2

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Q: 5. Find the arc length of the curve y = 3x³/2 from x = 0 to x = 4.

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the length of the curve x= from y = 1 to y = 2. 2 8y

A: Given the equation in the form x=f(y), the length of a curve from y=c to y=d can be found using the…

Q: 2. Find the function f(x) given that f'(x) = 3cos (x) - 2sin(x) and f(π/6)=√3. Leave your answer in…

A: To find the function f(x), we need to integrate f'(x). f′(x)=3cos(x)−2sin(x) Integrating both sides,…

Q: help me solve this

A: If you have any problem let me know in the comment section thankyou.

Q: Let h(x, y, z) = — In (x) — z y7-4z - y4 + 3x²z — e²xy ln(z) + 10y²z. (a) Holding all other…

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Q: k. 1. |_ 1/2 S 0 cos(x-2) x3 √1+ e¯x ex dx dx

A: First, we simplify the integrand. The term S is a constant and can be taken out of the integral. The…

Q: F3 立 2. Submit answer Practice similar Calculate the integral, if it converges. If it diverges,…

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Q: g Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1

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

Q: The answer is C Could you show me how to do it

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Q: Find the values of a and b for which each function will be differentiable for all values of x on its…

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Q: a) Sketch the y = cosh x, and indicate its properties. b) prove that sinh 2x = 2 sinh x coshx dx…

A: a) The graph starts at (0,1) and grows exponentially on both sides of the y-axis.b) To prove the…

Q: #15

A: Growth Rate=Change in Weight​/Change in Time (months)Part (a): Between 12 and 18 monthsWeight at 12…

Q: O Prove that the function f(x, y) = (x² + y²)e-(x²+y²) has infinitely many critical points and…

A: Prove that the function  f(x,y)=(x2+y2)e−(x2+y2) has infinitely many critical points and classify…

Q: find the curvature when t = 0.5. round off to two decimal places. r(t) = &lt;t, 1/2t^2, 1/2t^2&gt;

A: The first derivative of the vector function r(t) = is given by r'(t) = .

Q: || 8 Example: If ƒ (x + 2π) = f(x), obtain Fourier series expansion for the function given by 2x 1+…

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Q: The cup on the 9th hole of a golf course is located dead center in the middle of a circular green…

A: QUESTION 1: x-coordinate when the ball enters the green Step 1: Find the equation of the circle…

Q: Please help on both Part b) and c) below Thanks

A: a.) Shift the index using k=j+2 so that it starts at j=1.Since the index is adjusted, we will also…

Q: In this project, you will use spreadsheet software (either Microsoft Excel or Google Sheets, please)…

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Q: 1. Please solve this for me and show every single step. I am studying  and got stuck on this…

A: The function to be integrated is f(x)=4x+3.

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. The average value of f(x) = ✓ on [1,4] and instantaneous rate of change at x = 16 2. f(x) =…

A: If you have any problem let me know in the comment section.

Q: Given the vector v→=⟨3,-5⟩, find the magnitude and angle in which the vector points (measured in…

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Q: Draw the following solid and explain each step to obtain the final result of the volume (see image):

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Q: The answer is C Could you explain

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Q: Test the series for convergence or divergence.

A: Step 1: Step 2: Step 3: Step 4:

Q: 5 2 3. f(x) = 3x3 - 15x3 Find the intervals of increasing, decreasing 4. If xy+cos y, Find

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Q: Please help me with these questions. I am not understanding what to do. Thank you

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Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

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Q: use a graphing utility to sketch the graph of the function and then use the graph to help identify…

A: From the graph:  Domain : Set of x value where function graph is exists called domain of the…

Q: The position of a particle that moves along the x-axis is defined by x = - 3t^2 + 12^t - 6 f, where…

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Q: x(t) =2t2-t y(t) = 1-3 Find dy/dx when t = 0. Round off to two decimal places.

A: We are given two functions, x(t) = 2t^2 - t and y(t) = 1 - 3t, and we are asked to find the…

Q: Use the method of disks to find the volume of the solid that is obtained when the region under the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the exact length of the curve. - x = 5 cos(t) = cos(5t), y = 5 sin(t) - sin(5t), 0 ≤ Z ≤ π

A: We find the exact length of the curve defined parametrically by x(t) and y(t) by using the formula…

Q: The graph of y x² is shown on the grid. Graph y = = (x+3)² – 1. +10+ 69 8 7 5 4 9 432 6. 7 8 9 10 1…

A: Step 1: Identify function transformationsgiven parent function:y = |x| The vertical shifts will be:y…

Q: Find the Laplace transform of f(t).  f(t) = 8t6 + 3t4 - 2t + 5

A: The Laplace transform is an integral transform that converts a function of a real variable t (often…

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…

Q: Proof that: d (sechu)= dx show that: coth x = 1/2 m² (x+1), du и Пит dx -(054≤1) 1871 X711 X-1 Proof…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please sketch questions 1, 2 and 6

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