lim       x2-4x/x2-16    (Guess value of limit) x-->4

Q: Find the equation for the plane through the points Po(-2,2,2), Qo (0,2,4), and Ro(3, -2,-4). ...…

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Q: Value of the integral √₂ = ds where the curve C is given by y = 8√x with 0≤x≤1 is equal to: O…

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Q: Find the area of the surface generated by revolving the curve y=- The area of the surface is ,…

A: We find the area of the surface .

Q: B) Solve: y'= (1+x)e-x y²

A: The given differential equation is: y'=1+xe-xy2 To solve the given differential equation.

Q: True or False log32x² = log32 + 2log3x O True

A: We are asked to find the true or false

Q: Evaluate (5²+2-4)² O 628.31 O628.13 O 682.13 O 623.18

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Q: Find an equation of the level curve of the funct P(1, -2). Write your answer as an equation in terms…

A: We are asked to  find the equation of the level curve.

Q: b) (i) (ii) (iii) (iv) (v) (vi) Find the general and definite solutions of the first order…

A: Differential equation

Q: 3. The graph of y = f(x) is shown. Determine whether the function is continuous at the indicated…

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Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…

A: The Profit function is given as , Px=-x2+39x-210 where the price of a personal fan is $x.

Q: differentiable at x = 0 and that u(0) = -4, u'(0) = 1, v(0) - 7, and v'(0) = 3. Find the values of…

A: Solution:

Q: xp zp ^p rəх JJJ, 6. . In z

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Q: Compute + 7 and u-27 given that a. u + v = b. u-27= F 13 = H and v || = [23]

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Q: lim x to infinity 8^3-5x^2+17 divided by 6x^3+2x^2-4x

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Q: Sketch the following piecewise functions and determine whether each function is continuous for all…

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Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i + 9xj + 7yk G(x, y, z) = xi - yj + zk

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Q: Find a polynomial function p which satisfies the following criteria: • as x → −∞, p(x) → ∞  • The…

A: We need to find P(x).

Q: Waluate |(x^²)² +1 (D) H T лученн 3. Consider the function f [-1, 3] → R defined by f(x) = x². : A.…

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Q: Determine the equation whose y '=>/3.x -

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Q: Assume that X and Y are both differentiable functions of t. Find the required values of dy/dt and…

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Q: Consider the function y = (− 2x +8)2. Using the values x = 7 and △x = 0.2, calculate △y − dy. Round…

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Q: Evaluate the integral. (Use C for the constant of integration.) esin (9t) cos(9t) dt

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Q: Consider the function y = (4x – 2)^2. Using the values x = 7 and △x = − 0.8, calculate △y − dy.…

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Q: Find lower and upper bounds for the area between the x-axis and the graph of f(x) = √√x + 2 over the…

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Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: Let m be the mass attached and let k be the spring constant. The Newton's second law for the system…

Q: Find the area of the surface generated by revolving the curve y=√√2x-x²,0.5≤x≤1.75, about the…

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Q: Write the equation for the graph of g(x) as a transformation of the equation for the graph of f(x).…

A: Write the equation for the graph of gx as a transformation of fx in the form of y=afbx-h+k

Q: Find the Value of x 4x+2= 82x O x=-1 O x= 3 Ox=2 O X= 4 O None of the Above

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Q: The slope of the function's graph at (4,4) is (Simplify your answer.)

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Q: 1 Graph the line with slope 3 passing through the point (-4, 4).

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Q: 17. x = 1 - y², x = y² − 1

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Q: Assume that x and y are both differentiable functions of t. Find the required values of and dy dt…

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Q: 16. f(x)= In ( x²-3x+2 3x2+5x-2/

A: The given function is f(x)=lnx2-3x+23x2+5x-2 We have to find the derivative of f(x).   Note: If…

Q: of y = 2 tan x 1-tan²x

A: Solution is done in step 2

Q: The following table shows the fuel efficiency, in miles per gallon, for all U.S. autos since 1940.…

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region underneath…

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Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

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Q: Set up an integral for the length of the curve. 3 y=x³, 0≤x≤1 • O A. 0 1 OB. √1+3x² dx 0 1 1+9x* dx…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: d. lim xx e. x 4x5 2x5 +2 lim x-x f. lim x48 x2 +x+1 4x3x² +1 22) x + 2 2x

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Q: Find the divergence of the vector field F. F(x, y) = 2xexi - 6x²y²j

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Q: Suppose x = -5u - 4v + 2w and also x = −4u + 5v + 1w. Find another solution: -0 X = u+ V+ W

A: here we have to find the another solution.

Q: Make a problem regarding family of curves elimination of arbitrary constant introduction to…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 5x 1 lim x→0.2¯ 15x³ – x²1

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Q: 107. Shadow Length The introduction showed how shadows can be used to compute the cotangent…

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Q: Consider the function f(x) = 5x³ + 3x² + 8. For what values of k does the Intermediate Value Theorem…

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Q: 3. Consider the function f [-1, 3] → R defined by f(x) = x². : A. Estimate the area between the…

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Q: Find the derivative of the function. √5-5 √√5 +3 f(s) = f'(s) =

A: Formula used ddx( uv ) = vddx( u ) - uddx( v )( v )2

Q: Find the center of mass of a wire of constant density that lies along the line y = x from x = 0 to x…

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Q: Jump to level 1 A = { a, b, c, d } C = { *, +, # } Select the elements of A x C x C. (d, +, #) (*,…

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