f(x) =tan(ecot (x²))

Q: Rounded to the nearest cent, find the amount of money accumulated in 10 years if $17,000 is invested…

A: we have given P=17000, time =10 years, and interest rate =7%=0.07

Q: 4) √²/2 +4√xdx S

A:

Q: Determine whether the given function is a solution to the given differential equation. d²e de dt² dt…

A: Given the function  θ=3e5t-5e2t we need to calculate if this is a solution of the given…

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Q: Find rel 5 - dx X 1

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Q: 3 a. Find an equation for the line perpendicular to the tangent to the curve y=x²-16x +5 at the…

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Q: 5) 2 [4x 4x + =dx X

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Q: 3 8) fx(x² − 3)dx -1

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Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots of multiplicity 1…

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Q: Refer to the figure below to find the limit lim f(x). 818 What is the limit? Select the correct…

A: Consider the graph

Q: 3t² 14. ft csc2 zdt Туре. U= U' = =

A:

Q: Differentiate: f(x) f'(x) || = In ( 22²2 + 2) x³

A:

Q: Consider the function h(t) = 6 ² + restricted to the interval absoluto max explain why. or min on…

A: The given function is: ht=6t3-2t This is restricted to the interval 0,8.

Q: 7. f(x) = √√sinx³ Hint rewrite first Write answer in radical form. Туре.

A:

Q: Use the following function to answer the questions below: below: 904) = (2+³ - ²)1/5 g(t) (a) Find g…

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Q: Find an equation of the tangent line at each given point on the curve. x=t² = 4, y = 1² - 2t 2y = x…

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Q: Express the equation in exponential form. 4y + 3 = ln (2x + 2)

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Q: Which of the following best describes the derivative of the function at a point?

A: The derivative of a function in calculus of variable standards the sensitivity to change the output…

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x + 3) at (2,5). The equation of…

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Q: Solve the initial value problem. y'+xy=x , y(0)=1

A: Given data y'+xy=x , y(0)=1

Q: Refer to the graph of f below. -2 y A 72 X Determine the 2 values of x where the derivative of f…

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Q: A produce and distributor of gift cards produces a boxes of cards per day at an average cost C (x)…

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Q: If a = (2, -1, 9) and b = (8, 2, 1), find the following.

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Q: Write an equation for the function graphed below 5+ 4 3+ 2+ -7 -6 -5 -4 -3 -2 -1 -1 -2 + -3+ -4+ -5+…

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Q: Refer to the graph of the function fand determine whether the statement below is true or false. lim…

A: graph of f(x)

Q: Evaluate the definite integral 7 Li (2x + 5) dx

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Q: Find the unit tangent vector T(t). r(t) = esti + cos(t)j - sin(4t)k, P(1, 1, 0)

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Q: Given the graph of y = g(x), estimate the value of g'(2). (a) -4 (b) -1 (c) 0 (d) 1 $10 3 (c) 4

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Q: Find an equation of the plane. The plane through the points (2, -1, 3), (7, 4, 6), and (-2, -2,-2)

A: Points ( 2 ,-1 ,3) , ( 7 , 4 , 6 ) and ( -2 , -2 , -2 )

Q: Which of the following statements is always TRUE? Select one: a. If the limit of f at a exists, then…

A: To write down the correct option from the given options.

Q: Let the demand function for a product be given by the function D(q) = -1.6q+ 250, where q is the…

A: In this question , we can find Total Revenue , total cost and total profit.

Q: determine thcarem over all the of the the weather applies to numbers Mean the interval [35] C thart…

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Q: Find a plane containing the point (-1,3,-8) and the line of intersection of the planes-3x - 4y - 4z…

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Q: 5. Sketch: y=2sin(t) {two cycles} Step one: Find the length of one cycle: Step two: Break cycle into…

A: To sketch the function y=2 sinπ2t for two cycles.

Q: 1 2) ƒ =—= + √xdx X

A: Integrate the following.                                ∫ 1x+x dx

Q: the function the value guaranteed by is ? ath f(x) = x²-² X in mean on [0,1] Value the interve yo…

A: We have to find the value of c. Suppose f(x) is a function that satisfies both of the following. f…

Q: Use the​ price-demand equation p+0.001x=50​, 0≤p≤50. Find the elasticity of demand when p=​$22. If…

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Q: (a) Find parametric equations for the line through (1, 4, 6) that is perpendicular to the plane x -…

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Q: Σ32-4n n=1

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Q: The area of the region that lies to the right of the y-axis and to the left of the parabola x = 8y -…

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Q: (7 Find-dx X + C

A: ∫7xdx

Q: Oy- (240-x) O y -120+ x) Oy-(-240-x) y-(120-x)

A: When 2 functions are mirror image about the line passing from origin than these 2 function are…

Q: Question #10 - Which integral best describes the area below? f(x)=x²-2x g(x) = x va 34 4 -1 7 2 7 2…

A: Area of the shaded region : Let y= f(x) and y=g(x) be two curve and f(x)≥g(x) on a,b , then the area…

Q: =y³ + x² + 4xy - 2x - 13y +7. For each of the points provided, determine 2. Consider the function…

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Q: h (8) for h(8) = sec(√6). Oh (8) = 28 Oh (e) = sec(√) tan (√) sec(√) tan(√) On Oh (0) = sec² (2√6)…

A:

Q: Let R be the region bounded by y = 2√x, y = 2, and x = 4, as shown below. Suppose this region is…

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Q: 4. Determine whether the given functions f(x) and g(x) are inverses of one another. Justify your…

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Q: (D2 – 2D + 1) y = xe + ** e X 2

A: The given differential equation is;  (D2-2D+1)y=xe+ex/x2

Q: Consider the function f(x) =12x5 +30x¹-300x³ +7. f(x) has inflection points at (reading from left to…

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Q: find dy/dx by implicit differentiation. tan(4x+y)=4x. Use the original equation to simplify your…

A: