The integral that represents the length of the curve y = tan(4x), where following: ≤x≤, is the π/3 [/³√1+ 4sec¹ (4x) dx. π/6 Select one: Truo

Q: If the equation of the tangent plane to x²+y²-1372²=0 at (1,1,√2/137) is x+ay+Bz+y=0, then a+ß+y=

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Q: What is the area of the region between the curves y = -x² and y = -4 from x = -2 to x = 2? Select…

A: fx=y=-x2, gx=y=-4 a= 2  b = -2

Q: 2 Si √² (3x² + 2x + 4) dx

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Q: Use the chain rule to find the derivative of 3x³ - 2x4 f(x)=e³x³ ƒ'(x) = =

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Q: Evaluate x²+x-2 3x³-x²+3x-1 dx

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Q: A satellite dish is shaped like a paraboloid. The receiver is to be located at the focus. If the…

A: A satellite dish is shaped like a paraboloid. The receiver is to be located at the focus. If the…

Q: Given y=x-D² K²²-X Express using k and determine their type IF : a. kx 6.-^<k <1 2 C. K<-1 d. k=1…

A: SOLUTION:-   Given, function y=(k2-x2)(x-1)2 For finding the maximum and minimum points we need to…

Q: The figure below shows a 120-turn square coil rotating about a vertical axis at at w = 1,520…

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Q: In polar coordinates, we have the unit vectors in the direction of and normal to as e, = cos 07 +…

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Q: Given Express using k and determine their type IF : a. kx 6.-^<k <1 C. K<-1 d. k=1 K²-x² 2 (x-1)² y…

A: SOLUTION:-   Given, function y=(k2-x2)(x-1)2 For finding the maximum and minimum points we need to…

Q: Find d dx -(7 ln(x))

A: We know that derivative of ln(x) is 1/x

Q: 2 tan 2x sec" 2x dx

A: The given integral is tan32x sec22x.

Q: Find dy dx y [A] ₁-2y 1-e²y [B] y+1 1-2e²y [C] e²y + x = y 1 1-2e²y [D] y-1 1+2y [E] 1 Ti 1-ey

A: We can use the concept of implicit differentiation Given function e2y + x = y

Q: 3. Let f: R R be the function f(x)=x²-x, defined on the interval [0,2]. (i) Sketch the graph of f(x)…

A: SOLUTION:-   Given, f: R→R be the function f(x) = x² - x, defined on the interval [0,2]. (1) We need…

Q: 2. f(-2)--13 9(-2)=11 (F-9) (-2)=

A: f(-2)=-13 g(-2)=11

Q: 22. Find the are length of the graph of the function over the indicated interval. [1,27]

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 800t 120t², where t is…

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: The function is fx=6xx2+2, 1≤x≤3.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 6 F(x) = ['sir F'(x) = x…

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Q: Consider the following unconstrained optimization problem: min f(x, y) = x² + y² + xy + x + y z,y=R…

A: Given: f(x,y)=x2+y2+xy+x+y We have to find value of independent variable for minimum function value.

Q: 12. A toy factory is trying out two different production methods. The rate of production (in toys…

A: A toy factory is trying out two different production methods. The rate of production (in toys per…

Q: 7. Evaluate Jo F. dr where 2x + y² + (xy-√√z) k F(x, y, z)=√ri+ 2 and C is the boundary of the part…

A: We have to evaluate the given integral.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) I cos t 5 + sin t…

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Q: The area of the surface generated by rotating the curve y = ln (3x), where 2 ≤ x ≤ 3, about the…

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Q: Encuentre la solución general pa dy = 4 cos(e²× )sin (e²x )e²x doc Para la barra de herramientas, p

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Q: (a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane xy +…

A: x-y+2z=1 px0,y0,z0=5,2,4 Line through Point px0,y0,z0 is perpandicular to the plane x-y+2z

Q: Use implicit differentiation to determine given the equation x² + y = e³. dy dx = dy dx

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Q: Find the derivative of f(x) = x = x5 e5x ƒ'(x) =

A: To find the derivative of fx=x5e5x.

Q: Use the chain rule to find the derivative of You do not need to expand out your answer. 13 3(-5x5…

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Q: Find a parametric representation for the surface. the part of the plane z = x + 5 that lies inside…

A: Given: The part of the plane  z = x + 5  that lies inside the cylinder  x2 + y2 = 1.

Q: 4. (a) (b) (c) For this problem, consider the planes P₁: x+y=z= 1, and Find the angle between P₁ and…

A: Given two planes are: x+y-z=1 and 2x+3y+5z=5

Q: Suppose you are driving a car at 80 miles per hour. Again decelerating at 16 feet per second squared…

A: Car drives 80 miles per hourAgain decelerating at 16 feet per second squared

Q: The total productivity, P of a worker with a robot helpers is a function of the number of robot…

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Q: Describe the region whose area is given by the integral r3 S Same 3 sin 0 r dr do.

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Q: Set up an integral for the area of the surface generated by revolving the given curve about the…

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Q: Question 1 72 y A -1 -2 m 1 2 اليا 3 4 5 6 A 8

A: We are given with the graph f(x)

Q: The area of a healing wound is given by A = 7². The radius is decreasing at the rate of 2 millimeter…

A: A=pi r2, r=26.

Q: Given f(x) = 8e²x df dx = Use parantheses when typing in the exponent.

A: Given that we need to find the f(x)=8e2x derivative of f(x). We will solve by using derivative…

Q: Rewrite the integrand in terms of u so that the integral f(u) = x √ (32²² -da takes the form…

A: To rewrite the integrand in terms of u so that the integral ∫x3x2+64 dx takes the form ∫fu du.

Q: Let f(x) = ln(x5) ƒ'(x)= = f'(2) =

A: Let fx=lnx5 To find f'x and f'2.

Q: The graph below is the function f(x) -5-4-2-1 3 -1 -2 Find f(-1) 234 Find lim f(x) 24-1- Find lim…

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Q: 4) Given the following triangle, the Sine of angle A is; a. Sin(A) = 0.25 b) Sin(A) = 0.45 10 JA°…

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Q: Find the equation of the vertical asymptote(s) of the function f(x)= 3 x +4 Ox=+√/2 O O f(x) has no…

A: The given function is;  f(x)=3/(x2+4)

Q: Se sinx cas x dx

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Q: Approximate the area under the graph of f(x) = 0.3 x² + 3x²² - 0.3x -3 interval [-7, -2] using over…

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Q: F(x) = 4+√√x 9(x)=√√√9×14 (f・g)(1) =

A: fx=4+x and gx=9x4

Q: Use the Divergence Theorem to compute the net outward flux of the following field across the given…

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Q: The revenue from the sale of a commercial vechicles is given by R = 65500x +52400(12+2x)¹ - 6000…

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Q: 3. The surface S is the part of the surface z = re above the rectangle [0, 2] × [0, 1] in the…

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Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

A: Given: f(x)= 2 for [-2,0] and f(x)=6-x2 for (0,2]  We have to find the value of integration of f(x)…