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Q: y=x 2 y

A: volume is as follow.

Q: Determine the domain and range of the function. bo m Part 1 of 2 e L el + -2- + 2 3 41 The domain of…

A: INTRODUCTION A function's domain is the set of all input values for which it is defined, whereas its…

Q: IrT: R² R² is a linear transformation such that then the standard matrix of T is A= ¹([:])-[23] and…

A: Given that T:ℝ2→ℝ2 be a linear transformation such that  T54=1335 and T4-3=29-3. We have to find…

Q: 2 -[-3] Span (u, v) for all h and k. 21. Let u = and v= [2]. Show that is in

A: The given vectors are u=2-1, v=21  we have to check whether u and v  spans u,v for all h,k.

Q: Solve the following system with inverse matrices. Show the algebraic set-up of your system, find and…

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Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A: Topic - Parametric equation of line We are given A line passes through the points (-5,2,5) and…

Q: f(x) = ax²+bx+c Suppose you don't know the exact values of a, b, and c, but you know that they are…

A: f(x)=ax2+bx+c∂xn∂x=nxn-1∂ ∂x(constant)=0

Q: Estimate f(g(2)): First graph y=f(x) Second graph y=g(x)

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Q: 98 x = 62° 29° NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to…

A: We are required to find the value of x

Q: Find the indicated partial derivative. f(x, y) = sin(5x + 4y); f yxy fyxy(x, y) =

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Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

A: Given that rt be the rate at which a swimming pool is being filled with water, measured in…

Q: Use the tables of f(x), g(x), and h(x) to answer the questions below. Assume the functions are…

A: Given:

Q: f(x) = e² - 2x ex

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Q: Evaluate the limit: 1-cos 3h h lim h→ 12/2 -

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Q: Suppose that f(z) is a function whose average value over the interval [13, 17] is 11. Use this…

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Q: If a = (4, 0, -1), find a vector b such that comp₂b = 3. b = X

A: a=<4,0,-1>ab=3ab=a→.b→a→let b=<b1,b2,b3>

Q: (a) In order to express the function y=(2t^4−8)^5 as a composition of two functions the outer of…

A:

Q: A sum of $900 at 8% interest compounded continuously will grow to V(t) = 900e0.08 dollars in t…

A: V(t)=900e0.08tdetdt=et

Q: Using the sine and/or cosine law, sin A a c² = = sin B b a² + b² 2ab cos C Find the magnitude of the…

A: Given query is to find the resultant of the vectors.

Q: Let g(x) = x² +Ax-7 x + 6 x ≥ 4 x < 4* Calculate lim g(x). x-4- Find the value of A that makes g…

A: The given function gx=x2+Ax-7,x≥4x+6,x&lt;4. We have to find the value of A, that makes g is…

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin 2x, g(x) = cos x,-17…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: If f(x) = 9³x² 48 √√√x 3, find f'(8). X

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Q: A ball of radius 12 with a cylindrical hole of radius 7 drilled through its center has volume:…

A: given ball radius is 12 cylindrical hole radius is 7 ball is the shape of sphere volume of sphere…

Q: Let h(x)=x^2+x+2 Let g(x)=^2√x−1 Find the following: (a) g(h(x))=   (b) h(g(x))=   (c) h(h(x))=…

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Q: Evaluate the limit: lim sin 5x sin 4x sin 4x sin 2x x→0

A:

Q: The width of a rectangle is 15. Express the area A of the rectangle as a function of its perimeter…

A: Given width of rectangle =15 perimeter of the rectangle =PWe need to find the area in terms of P.

Q: Determine the average rate of change of the following function between the given values of the…

A:

Q: Find the center and radius of the sphere. 2x² + 2y² +2₂² +x+y+z=25 Center = (1.1.1), radius= (Type…

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Q: f(x) = log(x) + log₂ (x)

A:

Q: 30° 10 The height of a right triangle with base angle 30° and base 10 is

A: Given:

Q: A circle has the graph shown with the indicated center. 6+ 5 4 32 2 H -6-5-4-3-21 -2 -3 15 -6 + 2 4…

A:

Q: The displacement (in meters) of a particle moving in a straight line is given by st²4t+13, where t…

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) F(x) = if…

A: We have to find the limit and graph the function.

Q: the time required for an investment of 3,000 dollars to grow to 12,000 dollars at an interest rate…

A: Given query is to find the time required to reach the investment to 12000.

Q: ---3 11 -1/0 -6 100. 11 T 5

A: From the latest authoring guidelines of Bartleby, we can answer only first three subparts, please…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

Q: te the following: 2x dx x - 4 dx

A:

Q: Find an equation for a circle with center at (5, 12) and a radius of 4. Make a sketch of the graph.

A: we need to find out the equation of circle with the given center and radius and also need to sketch…

Q: Given limx→6 f(x) = 8 and limx→6 9(x) = 5, evaluate If the limit does not exist enter DNE. Limit = 0…

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Q: A tank contains 50 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The…

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Q: Consider the curve y = x² + 3x + 4. (a) Find the slope of the secant line to the curve through the…

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

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Q: A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The…

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Q: Calculate [1, 2, 2] x [5, -5, -1] -

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Q: Use the graph of G shown to the right to find the limit. If necessary, state that the limit does not…

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Q: A piecewise function is defined as follows: y= -2x-1 -1<x<0 -(x-2)² +3 0<x<3 3 x = 3 1 3< x≤4 Sketch…

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Q: Which polynomial function has the following end behavior? Assume a and k are positive constants. If…

A: Given: If x→-∞ then p(x)→+∞,   If x→+∞ then p(x)→-∞

Q: The slope of the tangent line to the graph of y = 2x³ at the point (2, 16) is 2x³ 16 - lim x-2 X- 2…

A: The slope of the tangent line to the graph of y=2x3 at the point 2, 16 is limx→22x3-16x-2. We have…

Q: Find the acceleration of the specified object. A boat is pulled into a dock by means of a winch 24…

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Q: Use your calculator to find the inverse matrix for Matrix C. Use exact values (integers or…

A: