QUESTION 9 Find the equation of the tangent line of y=x² at the point (1,1) Oy=-2x+1 O y-2=--(x-1) Oy-1=2(x-1) Oy-1=2(x+2)

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A: Given query is to find the equation of the line.

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A: xis called the modulus function of x. Although it contains both positive and negative x values, it…

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A: Given data:- The given expression is, limθ→0+cscθ

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Q: Solve the following differential equation using Laplace d²x dt² 2 dx +2+x=1 x(0)=x'(0)=0 dt

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Q: How are the domains, ranges, and graphs of functions and theirinverses related? Give an example.

A: Domain of a function is the set of all input values of the function on the x-axis of graph.and Range…

Q: Question 9 Find the equation of the tangent plane to the function z=2x-3y + 4(x - 1)² + 5(y- 1)³ at…

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Q: Find the derivative of y = 1+1=10 17 Or=0 + 30 3 Oy= Oy=- ▬▬ + 17 - 17 4 (3-17²) 33

A: y=3-17x23x3

Q: 2. Determine the arc length of the given curves a) x = 1/² + 1/ 4y luoda r b) y = ln (cos x) 1 ≤ y…

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Q: Define R as the region bounded by the graphs of f(x) = x² + 2x + 2, x = -2, x = 0, and the x-axis.…

A: we use volume formula .

Q: ind a number d such that the line containing the points (d,4) and (-2,9) has slope -3

A: As we know that: The expression for the slope of the line when it passes through the points, Px1,y1…

Q: For each of the following series, use the sequence of partial sums to determine whether the series…

A: For each of the following series, use the sequence of partial sums to determine whether the series…

Q: 2. The schooner Roseway travels due east for 7 nautical miles. Then, the schooner changes course and…

A: Pythagoras theorem is used

Q: 23. Find the following limit. lim x-0.5* lim x-0.5* x+11 x+2 x+11 x+2

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Q: The limit  lim  x-> 0  e^x-1/x  equals a derivative f' (c), for some function f(x) and some real…

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Q: Graphing a Quadratic Function Using Its Vertex,Axis, and Intercepts(a) Graph f1x2 = x2 - 6x + 9 by…

A: Concept Used: Basic properties of the function Vertex: Use the vertex form, y=a(x-h)2+k, to…

Q: f(x)=ln(x^5) f′(x)= f′(e^3)=

A: Given query is to find indicated derivative.

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A: I am attaching image so that you understand each and every step.

Q: Evaluate the following integral. 3 0 5x(x - 3)dx

A: Here is the solution:

Q: Identify the absolute minimum value of h(x) = -2x² Provide your answer below: - 1 over [-4,3].

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Q: If h(x) = f(g(x)), find h'(5) given the following table of data. x f(x) g(x) f'(x) g'(x) 4 6 3 7…

A: Given:- hx=fgx

Q: Solve equation .Round decimal answers to four decimal places. 5x = 12

A: Given data:- 5x = 12

Q: 22. Find lim h-0 f(x+h)-f(x) h f(x) = 5x-4, x=6 The lim f(x+h)-f(x) h for the given function and…

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Q: Give an example of a rational number that is not an integer.

A: Integer Among the collection of negative, non-negative, and positive numbers, an integer is a whole…

Q: 1. Compute the three partial derivatives of f(x, y, z) 1 (x² + y² +2²)n

A: see below the answer and calculation

Q: Which of the following is NOT an exact equation? A. ¹ В. У C. (2x sin y + y)dx + (x² cos y + x)dy =…

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Q: Determine the limit: lim I 15 √x-2

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

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A: Given: The leading candidate will receive 51% of the votes with a margin of error of no more than…

Q: Suppose that (g(x))² + 5x = x²g(x) + 15, and that g(2) = 5. Find g'(2).

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A: Given data:-

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A: Given data:- 8x+25-(x-3)

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A: Given function, f(x)=-3x2+6x+1

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Q: A point is moving along the graph of the given function such that dx/dt is 2 centimeters per second.…

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Q: Find dy / dx by implicit differentiation. xy + 3x + 4x² = 2 dy / dx = Need Help? Submit Answer Read…

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Q: (²-5) 69. lim 1 (x,y) →(2,5)

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Q: Evaluate the integral. 5 e 5t 10t + 11 e 5t + 28 e S -dt

A: As per guideline we are solved first question you can repost Next question

Q: Ê X (R XV), WHERE = uitvi (NOTE THAT I IS A UNIT VECTOR!) Î

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Q: 1 2 X 5 x+y 8 || 1 z 36 78

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Q: Which of the following limits represents a derivative of the function f(x)=√x- ? O 1 lim h 0…

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Q: Express the solution of the given initial value problem in terms of a convolution where g(t) is an…

A: Given IVP y''+y'+54y=g(t), y(0)=4  , y'(0)=-2

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

A: Given:- 2x+3y'=y+2x+31/2

Q: Which one of the following intervals is not symmetric about x = 5? a. 11, 92 b. 14, 62 c. 13, 82 d.…

A: Given function: x=5 Intervals:  a. 11, 92       (b). 14, 62     (c).  13, 82     (d).5,5.2

Q: Let the solution of the differential equation (1 + 2y2) dx + xydy = 0 be f(x,y) = c, where f(x,y) is…

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Q: Question 24 Find the derivative of y = 3 7 15 (3x²+2ax) (ax²-3r-a) 7 (2ax-3) 2 5(32²+2ax)…

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Q: 4. y = ln 5. y = (x²+3)² x³√√x²+1 e3x ex +1 (use property of logarithms)

A: Given; 4) y=ln [(x2+3)2/x3sqrt(x2+1)] 5)y=e3x/(ex+1).