a) sin(x) + cos(r) - √x+dr x+2x³ dx I c)/3-e dx

Q: Suppose X and Y are random variables with the given joint density function. f(x, y) = (0.1-(0.5x +…

A: (a)yes (b)P(Y≥3)=0.5488P(X≤3,Y≤2)=0.2561 (c)Expected value of x = 2Expected value of y =…

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Q: Let f(x, y) = 1 + 2x² - cos(5y). Find all critical points and classify them as local maxima, local…

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Q: 2. Find the linearization at ln(5) of f(x)=√ex - 1.

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Q: I am needing assitance with the problem in the attached image, 3.3.

A: The derivative of f(x) is f′(x)=2x+1.Explanation:Steps and explanations are as follows:In case of…

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A: The size of the population of a certain bacteria culture at time t is described as, .

Q: QUESTION 10 Suppose that the following function approximates the weight W (in lbs) of a particular…

A: weight w(x)=3x2, put x=3The weight w(x)=27 lbsExplanation:Step 1:The weight w(x)=3x2 represents a…

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A: Given:Radius of a ball, R=16.Radius of round hole drilled, r=4.

Q: Please be thorough and walk through each part. This wi help so much. Thank you!@

A: (a) dθd​x=0.035898 (b) D=3sin(2θ) (c) dθd​D=3Explanation:

Q: 2. Use the Direct Comparison Test to determine if diverges. Show all appropriate work. iM8 n=1 1 +…

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Q: What is the equation of the tangent to the curve of the function: (Question in the picture)

A: The objective of this question is to find the equation of the tangent line to the curve of the given…

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A: The objective of this question is to find a unit vector in the same direction as the given vector…

Q: Consider the area between the graphs x + 4y = 17 and x + 4 = y². This area can be computed in two…

A: 1. a=−4,b=5,c=45 f(x)=2x+2​. And g(x)=417−x+x+4​​ 2. α=−7,β=3 h(y)=−y2−4y+21 Area is…

Q: Use the Product Rule to differentiate the function. f(x) = x² cos(x)

A: f(x)=x7cos⁡(x)f′(x)=ddx(x7cos⁡(x))Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: 8

A: using washer method Volume=43π​  cubic unit Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Please see image thanks!

A: The objective of the question is to find the derivative of the function f(x) = e^x at the point x =…

Q: 55. Let A(t) be the area of a tissue culture at time I and let M be the final area of the tissue…

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Q: x-17 Find the area bounded by y = x²-3x-54 (Round the answer to four decimal places.) , x = 2, x =…

A: The area bounded by the curve y=x3−3x−54x−17​ is approximately 0.7868.Explanation:Evaluate the…

Q: hello can someone please help me with this calculus question, thank you!

A: The objective of this question is to determine all values of p for which the series Σ (from n=1 to…

Q: hello can someone please help me with this calculus question, thank you!

A: The objective of this question is to determine the values of p for which the series Σ (from n=1 to…

Q: Consider the function f(x)=1/x on the interval [1,11]. Find the average or mean slope of the…

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Q: QUESTION 7 The tank below is filled half way with oil that has a density of 750 kg/m³. The radius of…

A: The work required to pump all of the oil out of the tank is 6,650,123.33…

Q: Solve 2

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Q: Find the critical numbers of the function f(x)=12x^5+45x^4-100x^3+7 and classify them. Round your…

A: The critical numbers of the function are x = 0,  x=2−3+29​​​​ or x ≈ 1.193 , and x=2−3−29​​ or x ≈…

Q: 16

A: Volume= 128/3Explanation:

Q: For the given function, (a) find the slope of the tangent line to the graph at the given point; (b)…

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A: The expression for the mass of the lamina body is:The expression for the center of mass is:

Q: Question: d/dx (x^lnx) = ? Pls help me w this ques. Use detailed steps and explaination. Thank you.…

A:

Q: 2. Find absolute extrema of the function f(x,y) =x³ – 3xy +y³ on the region bounded by the following…

A: The final answer is given in steps.Explanation:Step 1:Step 2:Step 3:

Q: All graphs/sketches must be accompanied by all algebraic work as per the Curve Sketching Algorithm…

A: all answers are explained below in detail. Explanation:

Q: Let d be the distance from a point on the plane x-2y+3z = 9 to the point (0, 1, 2). For f(x, y) =…

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Q: x (1) Given f(x,y,z) = xz cos(z²)+, find the first order partial derivatives y (9 points)

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Q: The normal to the curve: y = 12 has a gradient of -0.2 when x = 2. What is the value of a? - a x 88

A: Need to find out the value of a.

Q: The area inside the polar curve r = 6+ 3cos (e) is ... (round your answer to three decimal places)…

A: the answer of this question is option b 127.235Polar function is the function that are represented…

Q: Consider the following function. F(x, y, z)=2(x-9)²+(y-5)² + (2-5)² = 10 Find the partial…

A: Hence,partial derivative,Fx​=4x−36Fy​=2y−10Fz​=2y−10partial derivative at…

Q: Find the equation of normal to the function f(x)=x3−3x+1�(�)=�3−3�+1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: Find the area of the finite part of the paraboloid  y = x2 + z2  cut off by the plane  y = 9.…

A: 6π​(3737​−1)Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: 5

A: The required volume isV=2π(tan1−1)=3.5022Explanation:Given curves are:y=sec(x),y=1,x=−1,x=1 Step 1:…

Q: Let f(x, y) = 4x² + e¯y². Find critical points and classify them as local maxima, local minima,…

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Q: I 5π 9 Determine all solutions to the equation cos(3x)= x= 60 7元 √3 over the interval [0,2π). 2 11T…

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Q: What does 2 number cube rolled sequentially mean

A: The phrase '2 number cube rolled sequentially' refers to a scenario in probability and statistics…

Q: Use the equation of the tangent to y = √ at the point x = 4 to find an estimate for √5. Express your…

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