Find the centroid of the region 8 -8 8 x

Q: d x-3 Use the Quotient Rule to evaluate and simplify dx 2x-5

A: Let f(x)=x−32x−5f′(x)=ddx(x−32x−5)Using the quotient ruleddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: Let z be a number that satifies the Mean Value Theorem for f (m) on the interval 4 ≤m ≤ 16. What is…

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Q: please answer this four question please i will give like thank you

A: Solution is given below if you have any doubts please ask me. Thank youExplanation:

Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

Q: Determine the exact point(s) on the curve y = where the tangent line is perpendicular to the line 2x…

A: The objective of this question is to find the exact point(s) on the curve y = 2x - 1 where the…

Q: Let -3x3 + 3y³ - 4z³ – 3xyz - - Use partial derivatives to calculate the point (-6, 1, −2). 647 = 0.…

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Two planes intersect each other as the cross product of normal vectors is non-zero.Explanation:…

Q: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)

A:

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height,h, is…

Q: ƒ¹ ( x ) = {} (x² + x) (x² + x) * (2x + 1), determine a possible f(x). " If fi

A: The objective of the question is to find the function f(x) given its inverse function f inverse (x)…

Q: Ex 1. Calculate the derivative i) x² + y² = 1. dy 33 dx for the following: ii) xy= x²+y.

A: To calculate the derivative  of the following.

Q: 8. Use the Product Rule to find the derivative of f   f(x)=cot(x)sec(x)

A: Use the Product Rule to find the derivative of the following function.

Q: Using the Laplace theorem, find the determinant of the following matrix : D = [2 1 3}/ [4 5 6]/ [7 8…

A: The objective of this question is to find the determinant of a 3x3 matrix using the Laplace theorem.…

Q: Find the derivatives of R(v)=(14v²-3v) 2 H (w) = (6-Sw) Find dy/dx and dx/dy from 6x2-x3y²+4x=0

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Q: Question 6 Using the definition of the slope of a tangent line to a curve, find the slope of the…

A: a)f(x) =

Q: Is the point (1, 2, 3) on the plane = (-3,4,0)+(6,4,-2)+s(1,-4,4)? Show your work

A: The answer is given below Explanation:

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A: The figure

Q: I need the equation of the tangent line to the curve at (1,3)

A: Slope is given by as calculated m=3

Q: Find the normal form of the equation of the plane that passes through P = (O, - 2, 5) and is…

A: The normal form of the equation for the desired plane is:6x−y+2z=12Explanation:To find the normal…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: Solution is given below and please check calculation.  if you have any doubts please ask me. Thank…

Q: Let k be a number that satifies the Mean Value Theorem for f (m) on the interval 0 ≤m ≤ 9. What is…

A: The Mean Value Theorem The function is continuous over the interval The function is differentiable…

Q: 6. Consider the curve y = 4x². Determine the equation of the line(s) (in standard form), such that…

A: We need to find an equation of a tangent line that passes through the point given.

Q: Determine the interval of convergence of the power series Σ (x-5)" n.3n n=0

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Q: y= (2+6 times x)^x Use Logarithmic Differentiation to find dy/dx

A: Conclusion :  dxdy​=(2+6x)x [(2+6x)6x​+log(2+6x)]Explanation:Step 1: Approach 1 ) Take both side…

Q: Find a simplified expression for tan (sin -1 (-/-) r

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 1 for f(x) = ln(x + 1). T2(x) =…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The answers are as follows: a)x-intercepts are −3,0,3.y-intercept is 0. b)The local maximum is…

Q: x f(x) g(x) T(X) g'(x) 3 1 9 9 6 7 4 3 3 2 -5 g(x+f(x)), x=3

A:

Q: The region bounded by the curve y = x² + 1 and the line y-x+3 is revolved about the x-axis to…

A: The objective of this question is to find the volume of the solid generated by revolving the region…

Q: = Water is flooding into a basement at a rate of f(t) = -2√√t + 5. Water is being pumped out at a…

A: a) 6.2288 ft3        b) -0.989 ft3/hr         c)  Volume max. @ t=1.457 hrs,    Total amount of…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

A:

Q: A trough with trapezoidal cross sections is formed by turning up the edges of a 54-inch-wide sheet…

A: Given:A trough with trapezoidal cross sections is formed by turning up the edges of a 54-inch-wide…

Q: pls help on all asked questions pls

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Q: please answer this three question thank you

A: AnswersA)C)A)Explanation:Hope it helps youplease ask if you gets any doubtplease give your feedback…

Q: Let F be a smooth 2-dimensional vector field defined on an open set U inthe plane containing a point…

A: The objective of the question is to find the curl of a 2-dimensional vector field F at a point P,…

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: Answer AOption A , t2​, t4​, t5​, t7​, t8​Answer Blimt→t6​​N(t)=7N(t6​)=7Answer CThe Limit does not…

Q: dy 1 Find dx if y= 5x-9 x=1

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Q: If a coin is tossed 11 times, find the probability of the sequence H, T, H, T, T, T, T, T, T, H, T.…

A: The objective of this question is to find the probability of a specific sequence of outcomes (Head,…

Q: Compute the exact value of the differential dy if y = 2ln(1+√√x) - if x = 4 and dx = 0.5 4 +12 3x…

A: Therefore, the required answer is dy=1/8Explanation:Step 1: Step 2: Step 3: Step 4:

Q: a. Use implicit differentiation to find dy dx b. Find the slope of the curve at the given point. 3…

A: 6xy=9(a)ddx(6xy)=ddx(9)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: o 3 π/2 31/2 2TT 511/2 The amplitude is¦ 5 3TT 711/2 The midline is ¦

A: To find the amplitude and midline of the following graph.

Q: iii) sin(xy)=x³ + x²y. Ex 2. Find the derivative dy for the following then evaluate the derivative…

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Q: Suppose for a particular commodity, & = 0.33 and that currently 50,000 units are selling for $6…

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Q: Please answer these question using differential equation but the last question just answer thank you

A: 1st question: option C 2nd question: option D 3rd question: option B 4th question: option…

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a⋅b≈3.76Explanation:The dot product of A and B is,a⋅b=∣a∣∣b∣cosθ Given the…

Q: 5. You have a funny paperweight on your desk that displays a miniature Eiffel tower in the middle of…

A: The objective of this question is to find the location of the image of the Eiffel tower when viewed…

Q: Q3/ Find the general solution of the differential equation dy 3x2 tan y)+ x³sec2y- = COS X dx 17.10.…

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Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: The surface are is  2π∫03​3x31+x4​​dx=258.85Explanation:Steps and explanations are as follows:In…

Q: Verify that there exists a function g: R² → R² such that u = (u,v) = g(x) for the system S4xu² +…

A: The determinant of the Jacobian matrix of F at the point (1,1,−1,−1) is 15, which is nonzero.…

Q: +a2+C √ √√a² + u²du = ½ (u√u² + a² + a²]n]u + √u² + a² 1) + T 114

A: