Find the derivative of y=x²-c COS X

Q: Find the average value of f(x,y) = sin(x + y) over a. the rectangle 0≤x≤5π/6, 0≤ y ≤7π/6 b. the…

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Q: Calculate P(FIE), if P(E|F) = 0.02 P(E) = 0.86 P(F) = 0.26 Round your answer to five decimals.

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Q: 3x - 12 x² - 6x +8 what value(s) of x is the function discontinuous? Given a function defined by…

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Q: (3) Find the parcometric equations of line through the point P(1₁-1,5) and parallel to the line √x=…

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Q: Evaluate the limit sin 3x lim x-0 9x

A: Explaination of the answer is as follows

Q: Evaluate the integral ffxy dA, where R is the triangle x+y≤ 3, x ≥ 0. y ≥ 0. NOTE: Enter the exact…

A: To evaluate  the integral , where R is the triangle

Q: Σ(-1) Μ Η en

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Q: -5 1 10 5 10 --5 --10- E -15 -20- (2,-10) (5, -19) 5 The Instantaneous rate of change at x=2 is (8,…

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Q: "A company makes logo t-shirts for music festivals. Their total cost function is linear, and the…

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Q: Compare the domains and ranges of the following two functions. Using graphing calculator. a.…

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Q: *Find the equilibrium price and quantity for the following supply and demand functions. Demand: p=…

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Q: Let F(x) = f(g(x)). Find F¹ (2) using the following information f(-1) = -3, f'(-1) = 2, g(-1) = -7,…

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Q: (a) Find a Taylor series for f(x) = ln x at a = 1 (b) Approximate In (1.1) to three decimal places…

A: We have to find the Taylor series of function f(x) at a=1.

Q: Consider the solid bounded by the plane sx=0,y=0, and x+y=2 along with z=4−x2. Find the volume of…

A: We have to find the volume of the solid.

Q: Find the extreme values of the function f(z,y) = 2z² + 3y² on the circle z²+²=4 Use Lagrange…

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Q: Find the interval and radius of convergence for the power series. Show all your work clearly. 80

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Q: Given the series: k=1 does this series converge or diverge? O converges diverges If the series…

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Q: A company makes portable heaters for outdoor dining. The company has total cost function C(x) =…

A: A company makes heaters for outdoor dining. The company has total cost function  and the total…

Q: Determine each feature of the graph of the given function. f(x) Answer Attempt 1 out of 2 4 2x - 3…

A: To determine the features of the graph of the following function.

Q: -4 2 1² 1² y sin(x³) dx dy

A: To evaluate the following double integral.

Q: What is the coefficient of z in (+2x)"? Hint: Use the Binomial Theorem.

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Q: 2. Use l'Hôpital's Rule to evaluate the following limit. a) x→∞0 d) lim f) g) h) x³-1 x-1 4x²-x-3…

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Q: x²+1, 27. f(x) = 5+2x − x², x = 1, -2 ≤ x < -1 -1 −1≤ x ≤ 3 3 < x < 6.

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Q: Problem (2) Consider the region in the first quadrant under the curve y = 1 − 4x²,0 ≤ x ≤ 0.5. Use…

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Q: Find the area inside r = 3 sin and outside r = 1+ sin 0 O T None of the given choices 01 O 0 7|4

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. a) f(x) = e²x, a = 0

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Given x+y+z=3 and Po(2,0,1), find the following. (a) Find the equation for the tangent plane at the…

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Q: Question Find ∫−2xlnxdx using integration by parts with u=−2lnx and dv=xdx. Give only the…

A: The objective of this question is to find the integral of the function -2xlnx using the method of…

Q: If the point (-1, -2) is on the graph of y = f(x) , what must the point be on the graph of y = f…

A: We have given a point on function f. Now the function is transformed into y = f (x-2) +5.We have to…

Q: The number of different mammal species observed along a transect through a forest is a random…

A: We have been given -We have to find the expected value of the random variable X.

Q: Find the series solution first 8 terms. about an appropriate point. Write down the

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Q: 1. Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. a) f(x) = e²x, a = 0 b)…

A: Given At  The formula to calculate the Taylor polynomial is:               Now,

Q: Assume f(3) = 0, f'(3) = 6, g(3) = 1, and g'(3) = 3 f(x) g(x)* Find h'(3) given h(x) = A. -2 B. 2/2…

A: Given,

Q: Q/Find the differential equations 1 2 3 dx + 2/x dy = dy = 2x²y²dy 4 2 ✓ + ² y = x/2² y y xdy - ydx…

A: According to our bartleby expert guidelines only first individual question is to be answered kindly…

Q: xdy − ydx + x³dx = 0

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Q: If Inz+ln(-5) = ln(3x), then z =

A: ln(x)+ln(x-5)=ln(3x)

Q: fax or curi F, upwards 52. Let F= (yz²+z cos(xz), az2² - 3z³, x cos(xz) - 9yz² + 2xyz). Find the…

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Q: Find the tangent plans do z = 2³² + 3xy + 23² Z 8 at X=2 and g=-1 the where

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Q: 4 2, 2x -10x + 12 X-2

A: Divide the following:

Q: Let S be the region bounded by the graph of the polar curve r(0) = 2√0 cos(0) for 0 ≤0, Find the…

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Q: Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled…

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Q: Your bank pays 8% interest, compounded semiannually. Use Table 12-1 to find the future value (in $)…

A: Your bank pays 8% interest, compounded semiannually.

Q: 3. A bicyclist has wheels with diameter 12 in. and travels 10000 ft. What is the rotational speed of…

A: (3)Given that,diameter of wheel = 12 indistance = 10000 ftfind the rotational speed of the wheels in…

Q: Consider the following parametric curve. Answer parts a and b. x= -3+2t, y = 5-6t; t = 2 a.…

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 8-x², as shown…

A: The given parabola is .The aim is to find the largest area the rectangle.

Q: Enumerate the set {{a}, {b}} x {{a}, {b}}. X

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Q: Determine whether the Series Convergence or diverges. State the test used (a) k²³² 2K-1 (b) & hthne…

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Q: Find the volume of the solid that is bounded below the sphere x2 + y² + z² = 8 and above the cone…

A: Solid is bounded below the sphere x2+y2+z2=8 and above the cone z=x2+y2.Using spherical…

Q: Find the exact arc length Curve on the given interval y = (x²+2) ³/2 ³ 3 on [0,1] of the following

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Q: Which of the following are Taylor series representations of f(x): Check ALL that apply 0 Σ(-1)" n=0…

A: ,