-2 sin x, if x ≤ -1; 2 f(x) = A sin x + B, if -

Q: For number 4 the answer is B Could you explain why

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

Q: Total marks 15 པ་ (i) Sketch the trace of the following curve on R2, (t) = (t2 cos(t), t² sin(t)), t…

A: 5(i)(ii)L≈107.68(iii)

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…

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

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A:

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

A:

Q: Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]

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

Q: Please refer below

A: First, we need to find the composite function f(g(x)). This is done by substituting g(x) into…

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 distance (d) from the point (8, -7, -1) to the plane 3x+5y-3z = -60.

A: Step 1: Step 2: Step 3: Step 4:

Q: For number 9 The answer is A Could you show me how

A:

Q: Find the equation of the line / in the figure below. Give exact values using the form y = mx + b. m…

A: Given the function  f(x)=10x and  Point : x=log⁡(9) Put the value of x=log⁡(9) in f(x),…

Q: ints) A common representation of data uses matrices and vectors, so it is helpful to familiarize…

A: Let's analyze the problem step by step.We are given two column vectors:  Final AnswerRank of AAA:…

Q: 3) Find the volume of the solid that lies inside both the sphere x² + y² + z² cylinder x²+y² = 1. =…

A:

Q: Find the volume of the parallelepiped determined by the vectors a = (3, 5, −1), ☎ = (0, 3, 1), c =…

A: Thevolumeoftheparallelepipeddeterminedbythevectorsa,b,cisgivenbytheabsolutevalueofthescalartriplepro…

Q: Please help me with help step-by-step solution and accurate answer

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

Q: Question 1

A: Part -(c) Plot the graph : Now, we can easily plot the parabola, indicating vertex V(2,2), focus…

Q: Calculate the limit lim X-a x-a 5 using the following factorization formula where n is a positive…

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

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

A:

Q: Find the following limit lim x-4 X-72 3x-6

A: We need to evaluate the limit:limx→2​3x−6x2−4​ Step 1: Substitute x = 23(2)−622−4​=6−64−4​=00​Since…

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A:

Q: 4. Please solve this for me and show every single step. I am studying  and got stuck on this…

A:

Q: 1 0 4 2 -2 Q1: If A=0 -6 -5 2 7 2 -1 2 0 3 -1 2 and D = 1 2 0 0 -15 6 2 0 4 1 12 Find (for two…

A:

Q: Help me with  step by step solution pls asap

A:

Q: Question Consider the graph of f(x) below. Over what open interval is f'(x) positive? Give your…

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

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.

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A:

Q: Find the general solution of the following differential equations (complementary function +…

A:

Q: Could you show why the answer is B Using polar coordinates and the area formula

A:

Q: Determine the following limit. lim 35w² +8w+4 w→∞ √49w+w³ 3 Select the correct choice below, and, if…

A: Step 1:  Given Limit ExpressionWe must assess the following boundaries:…

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A:

Q: I just need help with evaluating these limits.

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

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…

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Q: 1 Written problems 1. Solve x' 0 1 -1 0 ] x +

A:

Q: Let X be a random variable with the standard normal distribution, i.e.,X has the probability density…

A: Step 3: Verify Conditions of Dominated Convergence Theorem (DCT)Final Answer;

Q: #1, #9

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

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).

A: Given, f(x)=(5x−9)(x+4) Multiply the terms, f(x)=5x2+11x−36 We need to find the equation of the…

Q: 4. The revenue (in thousands of dollars) from producing x units of an item is R(x)=8x-0.015 x². a)…

A: Given:Revenue function: R(x) = 8x - 0.015x2  4-a. Average rate of change of revenue when the…

Q: Pls help me with the step by step solution

A:

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

A:

Q: Pls help me with step by step solution

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

Q: The partial fraction decomposition of f(x) 4x 7 g(x) + where 3x4 f(x) = g(x) = - 52 –10 12x237x+28…

A:

Q: Example: Find Fourier integral for [1 |x|1 1/

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

Q: = Question 4 (5pt): The Orchard Problem. Below is the graph y f(t) of the annual harvest (assumed…

A: (a)(b)(c)

Q: x³-343 If k(x) = x-7 complete the table and use the results to find lim k(x). X-7 x 6.9 6.99 6.999…

A: To complete the table, we'll substitute each value of x into the function k(x) and calculate the…

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A: The given function is:f(x)=x2−9x2−5x+6​ Find the values where the denominator is…

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: Two forces are applied as shown to a hook support. The magnitude of P is 38 N. 50 N 25° DC a…

A:

Q: i attached the question and the way i solved it, i believe i made an error, could you point it out…

A: I am assuming you started with the divergence theorem to calculate the flux and then you did a…