use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and approximate any local maxima and local minima. determine where f is increasing and where its decreasing

Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.

Q: Solve the triangle, if possible. 38.80 O 25 O B Select the correct choice below and, if necessary,…

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Q: Find the total area of the shaded regions enclosed by y = 3x³x² -x² - 9x and y = -x² + 3x. 8+ Q The…

A: Area bounded by two curve  f(x)  and  g(x)  from a to b Area =∫abf(x)-g(x) dx

Q: The function h is defined as follows. h(x) = x² +7x-18 x²-8x+7 Find h (4). Simplify your answer as…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: Find all solutions of the equation 2 sin² x The answer is x₁ = COS x = 1 in the interval [0, 2π). ,…

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Q: Write an equation of the line below. -8 -7 -6 -5 -4 -3 -8 -7 -6 5. 4 6 17 8 X

A: Solving the problem by finding the value of the problem.

Q: 4. 4 1 SSx 20 x²ydxdy

A: Topic = Integration

Q: Find all solutions of the equation in the interval [0, 2π). 2sin6θcos2θ - 2cos6θsin2θ = - √2 Write…

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Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

A: Solution : Given that the figure is

Q: If 2 [² then f(x)dx = 5 and is equal to 10 5 prox Select one: O 15 O none of the others O -5 5…

A: The given integral is f(x) limit from 1 to 2 equal to 5 and the integral f(x) limit from 2 to 5…

Q: Evaluate the first derivative of the implicit function: 4x+ 2xy + y². A. (4x+y)/(x+y) B.…

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Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False 6 edx

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Q: Perform the row operation 3R2 + R₁R₁ on the matrix below. 3 2 4-6-8 1 1-3 2 (X3 (888) 4-6-8 3R2 + R₁…

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Q: -1-y 3) Evaluate the integral dxdzdy?

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Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Evaluate the following integral. √144-16x² dx

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Q: Two functions fand g are defined in the figure below. (a) Domain of f (b) 3 Range of f 4 6 7 9…

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Q: Determine whether each set equipped with the given operations is a vector space. For those that are…

A: We have to choose the correct option from given options.

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

A: The cost, in dollars, of producing x units of a certain item is given by Cx=0.04x3-5x+500a To find…

Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: Find all solutions of the equation in the interval [0, 2π). 2sinxcos2x+2cosxsin2x=-1 Write all…

A: We have a given equation is  2sinx cos2x + 2cosx sin2x=-1

Q: Define R as the region that is bounded by the graph of the function f(x) = -2e, the x-axis, x = 0,…

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Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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Q: Find all solutions of the equation in the interval [0, 2π]. 2cosxcos3x-2sinxsin3x = √2 Write the…

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Q: Find the critical points of the function f(x) = 4 cos² (x) contained in the interval (0, 2). Use a…

A: Follow the procedure given below.

Q: 5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. raph the two…

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Q: -y 3) Evaluate the integral ſ² ſ²¯ ² dxdzdy ?

A: Just solved the iterated integral according to the given order and get the required solution.

Q: H.W: Solve the differential equation y'− (1+x)(1+ y²) = 0

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Q: Given this boundary-value problem: d²y y + d0² 4 which has the solution y = 2 sin(0/2), 0, y(0) = 0,…

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Q: Evaluate limx→∞ 3x^2 - x - 2/ 5x^2+4x+1

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Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: True or False: We have Select one: True O False 2 x² dx > 2 [₁² x x³ dx 3

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Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

Q: S 3 7 39+x² dx

A: We need to solve integral.

Q: Use the matrices below to perform the indicated operation if possible. B If the operation is…

A: To find out 2C+B

Q: Which of the following is a unit vector parallel to the vector?

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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw with x = cost+ sint, y = cost -…

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Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: H.W: Evaluate the integral 2TL TL ·ss πο 5. (sinx + cosy)dxdy

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Q: Find the general solution of the following differential equation. y" +9y+ 20y = 0 NOTE: Use c₁ and…

A: See the details solution in below

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: Solve the given diffential by variations of parameters 1. y" + y = cos x

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