x2-2x + 1

Q: 7. The position of a car moving along a flat surface at time t is modeled by (x(t), y(t)) with veloc...

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Q: Let i, j and k denote the standard basis vectors of R3 Let ü =i+ 25 –k and o = -i-+ 3k. a) Calculate...

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Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d x2 tdt %D dx t + 4

A: Explained below 

Q: Water flows into an empty reservoir at a rate of 1000 + 560t liters per hour (t in hours). What is t...

A: We use the formula ,the quantity is given by the integral =integration of (1000+560t)dt from 0 to 4.

Q: Write the integral in terms of u and du. Then evaluate. (In (x))6 dx, u = In (x) (Use symbolic notat...

A: We have to find the integral

Q: Which is referred to as any value of x in the domain of f(x) at which f'(x)=D0 or at which is not di...

A: f'(x) =0  It is a critical number

Q: Find the partial sum Sg for the geometric sequence with a = 2, r = 5. %3! Question Help: D Video

A: The objective of the question is determine the partial sum of the given geometric sequence.

Q: Find the minimum and maximum of A over a particular interval [0, 6]. A (x) = | s) dt 0. The graph of...

A: We need to find maximum and minimum area.

Q: Given an RL circuit having an emf of 5 V, an inductance of 1 H, a resistance of 50 Q, and no initial...

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Q: The sum of the digits of a three-digit number is 18. If th second and third digits were interchanged...

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Q: Find fy (x, y) for f(x,y) ry

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Q: Write the integral in terms of u and du. Then evaluate. (8x + 29)-2 dx, u = 8x + 29 (Use symbolic no...

A: topic - indefinite integration

Q: Which law states that the temperature of a body changes at a rate which is proportional to the tempe...

A: topic - differential equation

Q: 00 1 converges or diverges. Clearly state the test Suppose c > 0 is a constant. Determine if you are...

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Q: The traffic flow rate past a certain point on a highway is q (t) = 1400 + 2400t – 210t? where t is i...

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Q: Find the formula for the function represented by the integral.

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Q: he Com Parison

A: We have to consider the given statement  is convergent or  divergent

Q: Which interval is f increasing when f' (x) = x³ - x ? (a). (-00, 0) (b). (–1,0) (c). (–1,1) (d). (0,...

A: If f'(x) >0 then f is increasing.

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) - 4 – 16i r = ,0...

A: The given number -4-16i

Q: An engineering student purchased piece of amber from a local shopping mall. The amber contained the ...

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 7x...

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Q: Write the vector v in the form ai + bj, given its magnitude v and the angle a it makes with the posi...

A: To write the vector v in the form ai+bj, given its magnitude v and the angle α it makes with the pos...

Q: Consider the oriented surface S for z > 0, consisting of the portion of the surface of the paraboloi...

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Q: . Convert the rectangular equation to polar form and sket ch its graph and vice versa. (a) x2 – y? =...

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Q: To ensure that the balls bounce consistently, tennis balls in Wimbledon are stored at exactly 68°F. ...

A: Temperature before keeping the ball in pocket is = 70°F  And the body temperature is = 98.6°F  If th...

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and...

A: Given: Px = x4 - x3 + 8x + 1,  D(x)=x2+7 As per the instruction, we will be expressing P in the form...

Q: Find the average value of f(æ) = 4x? 3x on the interval 2, 4]. fave Σ From the Mean Value Theorem fo...

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Q: By mistake, a bottle of red wine gets left overnight in a refrigerator that is at 4°C. The mistake i...

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Q: 1. Consider the series ▼ where c> 1 is constant. n=2 cn(In(cn))²' (a) Suppose you want to perform th...

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for In...

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Q: er, using n as needed. Use integers or fractions for any numbers in the er, using t as needed. Use i...

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Q: If lim f(4 + = 5 n-00 n for some function f(x), then: f(x) dx = Check

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Q: Consider the line in R? given by the parametric equation (a, y) = (2, -3) + t(-2, -9) What is the sl...

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Q: Find the absolute maximum and absolute mimimum values of 1296 f(x) = + 36x – 483 on the closed inter...

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Q: Let f(x) = Vx and L(x) be the tangent line approximation of f(x) at x =9. Which of the following rep...

A: We have to find L(x).

Q: Question 4 A circle has a radius of 4 cm. If the radius is increased by 0.01 cm, what is the estimat...

A: We are asked to estimate the increased area.

Q: Question 18 Using differentials, approximate v 9.1 A) 3.01666667 B. 3.017654314 3.016620626 3.015435...

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Q: Consider the following. w = xy2 + x2z + yz?, x = t2, y = 8t, z = 8 (a) Find dw/dt using the appropri...

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Q: Let CR be a circle of radius R centered at the origin. Use Green's Theorem to find the value of R th...

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Q: A can of StarKist tuna has a height of 5.1 cm, a radius of 5.1 cm, a circumference of 32 cm, and a v...

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Q: Find the volume generated by rotating about the x-axis the region bounded by the graph of the equati...

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Q: Let f(x) = Vx and L(x) be the tangent line approximation of f(x) at x =9. Which of the following rep...

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Q: A 500 gal capacity tank initially contains a salt solution consisting of 200 gal of water and 3 Ibs ...

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Q: Find the total area of the shaded regions. The total area of the shaded regions is (Type an integer ...

A: Topic = Application of integration

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: We have to find integration

Q: A farmer wants to fence a rectangular lot. Additional fencing is needed to ... sub-divide the area i...

A: To find out the length of the longer side of the lot having the largest area.   

Q: 8. The position of a particle at any time t is given by the vector function r(t) = (t² – 3, t) (a) F...

A: Given query is to find the velocity and and the acceleration at indicated point.

Q: Evaluate I = , (sin(x) + 2y) dx + (7x + 6y) dy for the nonclosed path A BCD in the figure. y D = (0,...

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Q: In the Newton's Law of Cooling, at small differences of temperatures between the body and the surrou...

A: Recall:  The rate of loss of heat is directly proportional to the difference in the temperatures bet...