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Q: Suppose the region on the left in the figure (with blue shading) has area is 21, and the region on…

A: Here we have a graph having 2 regions. One region have area of 21 and other have area of 7.

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: cos 47. ¹/2 * f(x, y) dy dx 10

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Q: Problem 1. Given the curve Find the following at point P(1, 0, 0). 7. find the r(t) = = (cost, sin…

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Q: Convert the point (r, 0, z) = (2, 2π, - 4) to Cartesian coordinates. Give answers either as…

A: 3D-Geometry As per guidelines, one question can be answered out of multiple different questions.…

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 26 cm…

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Q: 9. If a vector is described as an airplane flying North at 400km/h, then the opposite vector can be…

A: 9. Vector described as an airplane flying North at 400km/h

Q: 3π Express the Taylor series for f(x) = sin(x) centred at x = 4 Enter the first five coefficients.…

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Q: a) Find the first and second derivatives. f'(x) = f"(x) = f(x) = x³ -4.5x² – 12x - 3 b) Identify the…

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Q: Find the curvature of the curve r(t) = (3t, - 3t³, 2+¹) at the point t = 1. Give your answer to 2…

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Q: Read the definition of the natural logarithm function. The natural logarithm of a number x>0 is…

A: The natural logarithm of a number x>0 is lnx=\int_1^x (1)/(t)dt

Q: The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is…

A: rate of change of height and rate of change of radius of right circular cone is given. To find the…

Q: The graph of f(x) is shown below. 12 8 4 0 -4 -8 -12 (a) A NE 2-4-6-8-10-12-14 Use the graph to…

A: Integration is the area between the curve and the x-axis (when dx exists). So we can break the area…

Q: Explain why the function is differentiable at the given point. f(x, y) = x³y², (-2, 2) The partial…

A: .

Q: POWER PROPERTY log, (u)" =nlog (u)

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: find the absolute maxima and minima of the f(x) .

Q: Find the first partial derivatives of f(x, y, z) af A. (5,5,-2) = B. of (5,5,-2) მყ = C. (5,5,-2) =…

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Q: ndicate whether the statement is true or false. 1. The quotient rule can be used to differentiate a…

A: 1. True 2. False  [ power rule works with any real coefficient ]  3. False

Q: use the parameter to write eah rectngular equation as a pair of parametric equation   y= x^2/4 +…

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Q: FInd the tangential and normal components of the acceleration. r(t) = (t²-9)i + (²t - 4)i + 10%

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Q: After a foreign substance is introduced into the blood, the rate at which antibodies are made is…

A: Given rate at which anti bodies are made is modeled by f( t ) = ( 4t )( 10t2 + 16 ) where f(t) is in…

Q: If the graph of f is shown above, what is the value of the following integral?

A: NOTE: Refresh your page if you can't see any equations. . here the graph of the function f(x) is…

Q: The demand for boneless chicken breast, in dollars per pound, is given by q = - 0.6p + 6, w here p…

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Q: QUOTIENT PROPERTY log, (u)-log, (v) = loga

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Q: convert parametrici equation in rectangualr form  x=5sin t, y=4cos t

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Q: Describe the surface. x2 − y2 = 5 Write an equation for the cross section at  z = −5  using x and…

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Q: Find the equation for the tangent plane to the surface z = In(9x2+72+1) at the point (0, 0, 0).…

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Q: Find the linear approximation of the function below at the indicated point. f(x, y) = 38x² - 4y2 at…

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Q: Find all the critical points of x(2 + x)4/3 1. x = 69 7 2. x = 2, f(x) 3. x = -2, 4. x = 2 5. x =…

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Q: Find the first partial derivatives of 3x-3y 3x+3y f(x,y) : of = -(2, 1) = af ду = - (2, 1) = - at…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Solve the problem. Find the equation for the tangent plane to the surface -3x - Sy-9z=-13 at the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. 7] -2 f(x) = x=²…

A: Given that, the function      f(x) = x-2lnx  with the interval 12 ,  7

Q: woman drives 10 miles, accelerating uniformly from rest to 60 mph. a) Graph her velocity versus…

A: The formula for the acceleration is rate of change of velocity, ie. a=vf-vit

Q: Find the derivative of: y=sqrt of 3x + sqrt of 2 + sqrt of 1-x

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Q: A woman lives on an island 2 km from the mainland. Her fitness club is 4 km along the shore from the…

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Q: The graph of a continuous function f is shown in the figure below. Arrange the following quantities…

A: .

Q: 1. Find the area of the shaded region. a. y = 3r-r² y=r: (2, 2)

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Q: Find the largest open intervals where the function is concave upward or concave downward. Find any…

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Q: Match each system of equations with the number of its solutions. 9y=9x-2 2+6y=6x x-3y = -4 8+2x=6y b…

A: NOTE: Refresh your page if you can't see any equations. . the first system is the augmented matrix…

Q: Suppose f(x, y) = sin( (a) Vf(x, y) = = (b) Vƒ(3, π) = 2y x T 2y 2y 2y cos cos 2) Con (2) 200m (20 -…

A: Given that , fx,y=sin2yx and u is the unit vector in the direction of 1,1.

Q: Determine if A lim →0 sin(4x) exists, and if it does, find its value. 2. limit = 2 1. none of the…

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Q: Pls help ASAP

A: Consider the graph

Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: In this question we can find two paths .

Q: Find all the first order partial derivatives for the following function. f(x, y) = In a a | 11 11 =…

A: A function,

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

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Q: Because of material shortages, it is increasingly expensive to produce 6.2L diesel engines. In fact,…

A: To find the inflection point of the function P(x) = -x3 + 30x2 + 10x - 52, where 0 ≤x ≤20 to…

Q: Find the derivative of y= 7sin(5x+π/6)

A: Given function y= 7sin(5x+π/6)

Q: Find the limit. lim (¹) (x, y). 0 2 4 tan 1 57 1/ y tan x y+1

A: Here we find the given the limit.

Q: Use sigma notation to write the following Riemann sum. Then, evaluate the Riemann sum using formulas…

A: By using sigma notation to write the following Riemann sum. Then, to evaluate  the Riemann sum by…

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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