1. y = 2x2-5 at ( 2, 3) %3D

Q: Consider the following function. x2 + 2x + 2 2 x3 3 (a) Find y' = f '(x). f'(x) = (b) Find the criti...

A: Given: - The function is, y=x33+x22-2x+2 To find: - (a) The derivative of the given function. (b) Th...

Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: 3. Use the given acceleration function to find the velocity and position functions, and then find th...

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Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: Let y be the part of the curve y = x² running from (-1,1) to (2,4). Calculate xy dx + (x + y) dy.

A: (1)

Q: u - 1 Find dy/dx, given y : and u =Vx + 2. u* + 1

A: We can find the derivative as below.

Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: lā + b| = |a + b|

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Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: Find the differential of each f (a) y = 1 + 4s dy =

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Draw a contour map of the function f (x,y) = (y – 2x)2 showing several level curves.

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Q: The graph of fis given. State the numbers at which f is not differentiable. (Enter your answers as a...

A: If there is a sharp point at x=a on the graph , then function is not differentiable at x=a. If funct...

Q: 100 Find the measure of Zx. 113 mZx=° (Type a whole number.) Help me solve this View an example Get ...

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Q: se 1 + where a and bare odd numbers. It is f(r, y) = ra + yb' %3D 0, se r +y = 0 %3D It is correct t...

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Q: For the area bounded by the curves y^2 = 2x and y^2 = -x +6 Determine the area enclosed by the curve...

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Q: ind the (explicit if possible) general solution of thls ODE: dy + x2 + y? 0. x2 + y? dx

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Q: Determine whether the vectors u, v, and w are linearly independent or dependent. If they are linearl...

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy- 12=0,...

A: Topic = Functions

Q: Evaluate the iterated integrals  ∫1 0  ∫1 0 dxdy

A: Given query is to find the value of the integral.

Q: Find the directional derivative of f(x,y) = sin(x+2y) at the point (1, -3) in the direction θ=3π/4

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Q: f(x) to 2. 2.

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Q: Using the attached graph, sketch the derivative. Graph of polynomial f(x) 2 6. -1 -2 -3 -5 -6

A: See the graph whereg graph is increasing f'(x) will be possitive that means it Will be above from x ...

Q: 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1 ...

A: Topic = Functions

Q: (a) Find the equation of the secant line joining the points (-1, –4), and (3, 0). y= (x+1) - 4 (b) U...

A: Given query is to find the equation of the tangent line at 1 and graph the function with tangent and...

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

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Q: Find the length of the parabola given by c(t) = (t, 1) for 0 < 1 < 5. Hint: Use the formula / VI+i' ...

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Q: 137 What is the value of cos-(cos d) where d = 15T radians? If undefined, enter Ø. 2 Provide your an...

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Q: The demand for gasoline can be modeled as a linear function of price. If the price of gasoline is p ...

A: Given:- If The Price of gasoline is p = $3.10 per gallon,the quantity demanded in a fixed period is ...

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder. ...

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Q: Find the value of (f o g)' at the given value. f(u) = u° + 9, u= g(x) = Vx, x=1 (fo g)'(1) = (Type a...

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Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: ā xb = 6 x a а

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Q: 2. Use the following information to write out the polynomial functions in factored form. Sketch a gr...

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Q: Use the Simpson's Rule to approximate the given integral with n= 8. (Find Ss.) Round your answers to...

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Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at x...

A: Topic = Functions

Q: 5. Find the second derivatives. f(x) = x cos(x) and g(x) =

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Q: Consider the following function. y3D - 2x + 2 (a) Find y' = f'(x). (b) Find the critical values. (En...

A: ANSWER: As per guidelines we can do only first three subparts , the solution is given below : 

Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: 1-cos x lim sin x x→0

A: Given: limx→01-cosxsinx

Q: x-7x3+101 g(x) = ズー1

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Q: f(x) (x-1)(x-4). %3D x+4

A: Topic = Functions

Q: Entered Answer Preview Result 23 23 correct -3 -0.0241935 incorrect 124 At least one of the answers ...

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Q: Find lim (x,y,z)-(0,0,0) x²+y2+z4 xy+yz?+xz2 if it exists, or show that the limit does not exist.

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Q: oint (, y; 2) is tiver by The temperature at a point (x, y, z) is given by T(«, у, 2) — 1500е s me w...

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Q: Find the differential of each function. (a) y = x2 sin(4x)

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Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal places...

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Q: Evaluate and state limit laws used

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Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is differe...

A: Follow the procedure given below.