If y = x2 is expressed with parametric equations such that = 6 when x = 1, what is ? dt dx %3D dt

Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral

Q: Solve the triangle. 5 B. A (Round to one decimal place as needed.)

A: On solving this we will get

Q: 5. Which of the following is (a) n! n=1 80 (b) n=1 (c) E T=D1 (d) -1)" (2n)! T1

A: We have to find out the power series

Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: Use Disk Method only Find the volume of the solid formed by revolving the region bounded by the…

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per…

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Q: In spherical coordinates equation for the paraboloid z = 2 - x - y? is p(cos o - psin² ¢) = 2 |

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Evaluate the definite Integral by the limit definition. (x2 + 4) dx

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Q: Consider the function f(x) 1 on the interval [4, 10]. Find the average or mean slope of the function…

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Q: (E – 4)A^ = -글Vyy-3), 1sys 25 ter a fraction, integer, or exact decimal. Do not approximate.

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Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and…

A: Given; y=1+5x-x^2/2+x^3/6 y(.2)=?

Q: The guen

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Q: Evaluate the definite Integral. Use a graphing utility to verlfy your result. 48 du

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Q: +, ×

A: Given problem:-

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

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Q: Evaluate the definite integral (10x + + 3)dr

A: topic- definite integral

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

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Q: Find the area of the reglon bounded by the graphs of the equations. y = -x+ Bx, y = 0

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Q: Which substitution is needed to evaluate the integral S tan* x sec² x dx =? u = tan* x, du = sec? x…

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Q: f(x) = x* - 32x + 5 (a) Find the critical numbers of f. (Enter your answers as a comma-separated…

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Q: x +1 Evaluate the given limit of lim if it exists. 2→-1 x4 – 1 O limit does not exist 4 O -1

A: We have to find the limit

Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: The displacement, s in feet, of a particle moving in a straight line is given by s = 5t2 – 6t + 14,…

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Q: A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms…

A: Follow next step

Q: We have found that the partiaular solution of the height function is s(t) = -4.9t + v(0)t + 3 and…

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Q: Determine the open Intervals on which the graph ts concave upward or concave downward. (Enter your…

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Q: Express the series using sigma notation. -6m – 3m + 0 + 3m + 6m ...

A: Given -6m-3m+0+3m+6m...

Q: x+2 x3 3

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Q: Find 312 i-0

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Q: Factor the expression. Use the fundamental identities to simplify, if necessary. (There is more than…

A: Given problem:- Factor the expression 1-2cos2(x)+cos4(x)

Q: QUESTION 3 Find a formula for the nth term of the sequence. 1, 4 9' 16 25 (reciprocals of squares…

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Q: Jse Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h (x) = V5…

A: We area asked to find the derivative of the function using fundamental theorem of Calculus

Q: At how many point(s) does the helix with vector equation r(t) : (cos t, sin t, t) intersect the…

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Q: dy

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Q: proportional

A: We will solve the problem.

Q: 10 Evaluate the summation i. i=1 55 10 1

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Q: Find E( +1)? O 367 418 O 423

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

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Q: valuate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Find the average value of the function over the given Interval. (Round your answer to three decimal…

A: Find the average value of the function over the given interval.       f(x)=sin x  ,    0,π Find all…

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

Q: 14. If a baby is dropped from a height of 300 meters, its height s at time t is given by s(t) =…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = t3+3°dt f'(x) =…

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Q: A famous leaning tower was originally 184.5 feet high. At a distance of 130 feet from the base of…

A: Using sine rule, all parameters are evaluated.

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

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Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: C. Find the general solution of the given variable separable equation. 1. 2cosx cosy dx - 3Isin x…

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Q: Find the slope of the tangent line to the parametric equations: x = 3t2 - 3, y = 2t + 1 at t = 1. %D…

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