Region R is bounded by y = x2, the x-axis and the line x = 2. Region R is rotated about the line x = 2.

Q: Solve the system,Cramer's Rule and check all the solution : X+3y-2z = 11 4x-2y+z=-15 3x+4y-z = 3

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Q: 3. Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: g(x)=x4−18x2+7Using the power Ruleddxxn=nxn−1

Q: Suppose a 2-m cylindrical bar has a constant density of 5 g/cm for its left half and a constant…

A: Suppose a 2-m cylindrical bar has a constant density of 5 g/cm for its left half and a constant…

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: The given function is

Q: A model for advertising response is given by Upper N left parenthesis a right parenthesis equals 12…

A: The objective of the question is to find the derivative of the function N(a) = 12,000 + 800 ln a at…

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Q: Electricity Consumption The table below gives the retail sale of electricity (in billions of…

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Q: If r(t) = i + tj + t²k, then select all of the following that are true

A: Differentiate r(t) with respect to t.

Q: Let f(x,y,z)=x²√²+z² Compute f(5,-3,2) and f(4,8,-6). f(5,-3,2)= (Type an exact answer, using…

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Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: Given:a function To find:extreme points and inflection pointsTo find critical points we put…

Q: Find the volume of the area bound by y=x^3, y=0 and x=1 if rotated about x=2.  Use washer method.

A: Region is bounded by y=x3,y=0,x=1Rotating the region about x=2x=y1/30≤y≤1Using the washer method

Q: Find the following. If no value exists, enter DNE.

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Q: Let P be the statement " x² + 2 = 11 for all 3 real numbers à such that x³ + 32 = 5." Is P true? Why…

A: Given that P be the statement  for all real numbers x such that

Q: Find r' (t), r"(t), r'(t) r"(t), and r'(t) x r"(t). r(t) = 3t²i - 3tj + 1³k (a) r(t) 3ti - 3j+ ³/2²…

A: r(t)=3t2k/2

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Q: Use the graph of f and g. Let p(x) = f(x)g(x) and q(x) = f(x)/g(x). Find p'(8)= and q'(5)=

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Q: Find the instantaneous rate of change of revenue at production level of 1,030 car seats.  Round to…

A: The objective of this question is to find the instantaneous rate of change of revenue at a…

Q: . An airplane has a ground velocity of 400 km/h, [N60OW]. The plane is affected by a90 km/h wind…

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Q: Let f(x)= xh(x). Given that h(-1) = 5 and h'(-1) = 8, calculate f'(-1). f'(-1) = [HINT: Use the…

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Q: If u=(−3,2)�=(−3,2)  and v=(−3,3)�=(−3,3)  then proju(v)≈

A: Given vectors are The formula of

Q: (a) ln e-1 (b) en 4 (c) eln √4 . (d) In =C 1 e5

A: Power Ruleloga⁡mn=nloga⁡mNumber Raised to Logaloga⁡x=x−logb⁡a=logb⁡1aloga⁡a=1

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A: The given cubic polynomial is .The aim is to find the derivative .

Q: Sketch the region that corresponds to the given inequality. (Select Update Graph to see your…

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Q: You are given Calculate ā n. A B C D E Lane t 100nd nd n - 1008 100 — пб n 8 100 dt = 100.

A: The given integral

Q: Consider the following function. y= = ²³+2/2²- - 2x + 7 (a) Find y'= f'(x). 2 F'(x)=x²+x-2 (b) Find…

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Q: Calculate (t) when k(t): = r(t) = (4t-¹, 2,5t)

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Q: Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base…

A: To find the work required to pump all the water out of the cylinder, we need to calculate the volume…

Q: Consider the following. y=x³-3 3x² + 5x + 3 Find the relative maxima, relative minima, and points of…

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Q: 3 4 5 g(x) = 6x 2x³-18x g(x) box- x² - VA Holes HA/SA Y-intercept X-intercept

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Q: Find the area under the curve y = f(x) = x³ over the interval [5, 6]. Enter the exact answer. Area

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Q: If u=(−3,2)�=(−3,2)  and v=(−3,3)�=(−3,3)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

Q: A graphing calculator or computer algebra system is recommended. f'(x) and its graph are given. Use…

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Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r ′(1) and s…

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Q: Problem 131. Consider the function defined by the formula below. Is this function differentiable at…

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Q: Question content area top Part 1 Solve the equation.   35 e Superscript 3 k Baseline equals…

A: The objective of the question is to solve the given equation for the variable 'k'. The equation is…

Q: (A) (B) Let f(x) = −5 – x². Find each of the following: - ƒ(5) – ƒ(2) 5-2 = f(2+ h) - f(2) h -7 =

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: (a) tangent to y = 4x + 5 at the point (1, 9). (b) tangent to y = 7 - 2x at the point (2, 3). (c)…

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Q: 6. Suppose we have a function f(x, y). If we want to find the partial derivative fe, we treat the…

A: Suppose we have a function , then to complete the given statements.Note: Since you have posted…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 3. Determine if the following statements are True or False. Justify your answer with a proof or a…

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Q: 54. If h(x) = √√/4 + 3ƒ(x), where ƒ(1) = 7 and ƒ'(1) = 4, find hʼ(1).

A: If , then to find .

Q: find all local maximums and minimums of  function  h(x) = x4 − 8x2 + 3

A: h(x)=x4−8x2+3Using the power Ruleddxxn=nxn−1

Q: A particle moves in the yz-plane along the curve represented by the vector-valued function r(t) = 3…

A: (a) Given that      which is an equation of an ellipse in yz-plane.

Q: The velocity of a particle moving along a line as a function of time is given by v(t) the distance…

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Q: Enter DNE if the limit does not exist. a) lim g(x) = _8+x b) lim g(x) = I→8+ c) lim g(x) = x→8 g(x)…

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