In Problems 11–18, match each graph to its function. A. Constant function E. Square root function B. Identity function F. Reciprocal function C. Square function G. Absolute value function D. Cube function H. Cube root function 11. 12. 13. 14. 15. 16. 17. 18.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find the curvature of the curve defined by r(t) = (6 cos(t), 8 sin(t)) at t = 3πT 4

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Q: Find the tangents to the graph shown below at the origin and the point (1,1). 2x -10 B 6 10- 8 p 5…

A: Let's find tangent at origin and point (1,1).

Q: A B C D v(t) A particle traveling on the x-axis has position r(t) at time t. The graph of the…

A: Here we have to find the total distance traveled by the particle over the given time interval.

Q: Given g1x2 = 2x2 - 4 + 7, find x so that g1x2 = 10.

A: Note:- The given function has two constant value. And, It is possible that the correct function is…

Q: Find the derivative of the function below. sin (0⁹) cos (80) r = sin

A: We can find the derivative in the below steps.

Q: f(x) = -3x² √x²-4

A: Domain is =-2<x<2

Q: Find a and b so that the function is both continuous and differentiable. a= 76 b= 80 Note: You can…

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Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: To represent the integral on graph.

Q: Consider the system of differential equations Verify that ï' = ['§ 3]ï, 7(0) = [_?]. 3 y(t) = y(t) =…

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Q: Find the derivative of f(x) = 2x459x+1. O f'(x) = 8x³.59x+1 +18x4.59x+1n5 O f'(x)=8x³.59x+1In5 O…

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Q: write the function whose graph is the graph of y = x3, but     Reflected about the x-axis

A: Given, y=x3

Q: Homogeneous Equations Obtain the family of solution of the equation (x2 + 2xy - 4y2)dx - (x2 - 8xy…

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Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 6x³-4x²+x+7 6x²+2x+4…

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Q: R is the region bounded by the functions f(x) = x + 2 and the x-axis and the lines x=2 and x=4.…

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Q: Find f' (1)

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Q: Find the area of the triangle with vertices P(1,5, –4), Q(0, 0, 0) ar R(3, 4, 1). NOTE: Enter the…

A: We have to find the area of triangle .

Q: A particle moves along the x-axis so that at any time t≥ 0 its position is given by x (t) = te-at,…

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Q: Use the definition to calculate the derivative of the following function. Then find the values of…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = 7i+ 5j + k v = i + j + 6k…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Find the volume of the solid that results when the region enclosed by y = √√x, y = 0, and x = 25 is…

A: Given curves equations:- y=x , y=0 and x=25

Q: Find the equation of the curve, if at any point on the curve y'' = 4x - sin 2x and that (π/2, 0) is…

A: Topic:- algebra and application of integration

Q: Differentiate the square root of x / (1+x

A: Given query is to find the derivative of the function.

Q: Question дz Find for z = cos (8xy). əx

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Q: Find the area of the parallelogram that has u = i − 2j + 2k and v=2j+ k as adjacent sides. NOTE:…

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Q: Write the equation of the line tangent to f(x)=x5 when x = -2. Oy=80x192 O y = -80x+128 Oy - 80x192…

A: The equation of the function is given what you need to do ? 1. Find the slope at given point 2. Form…

Q: 1. (Click on a graph to enlarge it.) 3 AN The graphs of 4 functions are shown above, and the graphs…

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Q: f(x)= 3x³(2x-1)¹

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Q: A house purchased for $164,050 gains 5% of its value every year. If this growth rate continues, in…

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Q: B and C are sets of real numbers defined as follows. B={w | w≤1} C = {w|w>7} Write B n C and BUC…

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Q: Write the equation of the line perpendicular to y = 35x - 1 that contains the point 13, - 12.

A: Concept Used: Point-slope form y-y1=mx-x1 Use the given slope and the given points to substitute for…

Q: y = 3x², y² = y 0.30 0.25 0.20 0.15 O 0.10 0.05 y 0.3 0.2 0.1 -0.1 -0.2 -0.3 3x 0.05 0.10 0.15 0.20…

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Q: In Problems 43–46, the graph of a piecewise-defined function is given. Write a definition for each…

A: graph of the function is : This is a piecewise graph. The line which passes through the origin and…

Q: Use cylindrical shells to find the volume of the solid formed by rotating area bounded by the graph…

A: Given curves equations region bounded by x=y94,x=0,0≤y≤1

Q: Find all critical numbers of of the function f(0) = 2sece+tan@¸ 6 π < 0 < 8π. Select one: a. 0= b.…

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Q: Can you show the solution for #2?

A: Let's solve. 2nd number question already solve, so solve 3rd problem.

Q: - 3t 3t 2e-³t). Let r(t) = (2t — 4, 5e¯ Find the line (L) tangent to r(t) at t = = 1.

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Q: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

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Q: Determine whether the function given below has an inverse function. If it does, find the inverse…

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Q: Given the vector-valued functions ū(t) = e−5ti + e²t j — 5tk - 3ti + 2t²j+ 3k v(t) = find d = dt d…

A: The objective is to solve the above question.

Q: Find the area of the triangle with vertices P(1, 6, -2), Q(0, 0, 0) and R(4, 6, 1). NOTE: Enter the…

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Q: A particle moves along the x-axis so that at any time t≥ 0 its position is given by x (t) = (at)²,…

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Q: Find the nth Maclaurin polynomial for the function. 5X - 2 n = 4 X + 1 P4(x) = f(x) = Need Help?…

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Q: Find by implicit differentiation. dy dx dy dx x sin(y) = y cos(x)

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Q: Find Duf at P. 1 f(x, y) = 3(1 + xy) ³/²; P(5,3); u= NOTE: Enter the exact answer. Duf = i+ 1

A: To find the directional derivative of given function.

Q: Calculus A kite 65 feet above the ground moves horizontally at a speed of 8 ft/s. At what rate is…

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Q: aluate the integral 9x³ , (x + 1)³ te: Use an upper-case "C" for the constant of integration. dx

A: We have to find out the integrate

Q: find the function that is finally graphed after each of the following transformations is applied to…

A: Given, y=2x

Q: given information to answer the questions. 0,000 is invested in this CD, how much will it be worth…

A: Topic:- algebra