If $21.000 is invested in a savings account offering 4.5% per vear, compounded semiannually, how fast (in dollars/yr) is the balance growing after 4 vears? (Round your answer to the nearest cer

Q: y = (x-p)(x-r) and p+r=6. Find the x coordinate of the vertex of the parabola. O a. None O b. 6 O c.…

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Q: Evaluate: (- Vy + + 10 )dx 10 5.) y4

A: Note: Since the student has made an typing error by writting "x" as integral variable but the…

Q: The x-intercept of f(x)=V2x+4 is: O a. There is no x-intercept O b. (4,0) O c. None O d. (-2,0) O e.…

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Given that one model for the spread of a rumor is that the rate of spread is proportional to the…

Q: Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2,…

A: We can draw the graph as follows

Q: Consider the function 70 - 3 f(x) = 22 — 2х — 63 Find the vertical asymptotes of f(x). Separate…

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Q: Convert the Cartesian equation xy = 1 to a polar equation. r² = sinθcosθ  r² = tanθ r² = secθcscθ

A: Given problem:- Convert the Cartesian equation xy = 1 to a polar equation.   r² = sinθcosθ  r² =…

Q: cos 0 (4) Evaluate the iterated integral /A scos 3r2 sin 0 dr d0.

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Q: Choose the point which shows the correct location for the polar coordinate (-2, - ). 90° 2 W// 135°…

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Q: 14.A girl walks 2 km due east from a fixed point O to A, and then 3 km due south from A to B. Find…

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Q: Find the equation of the line passing through the points A(2,3) and B(-7,4) O a. 9y+x-29=0 O b.…

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Q: I. Write 2 – 7i in polar coordinates on the complex plane. II. Find (1+ i)° using DeMoivre's…

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Q: A particle travels along the r-axis such that its velocity is given by v(t) = t2 cos (3t + 2). What…

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Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

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Q: Find the area enclosed by the given parametric curve and the x-axis. x = 2 sin(t),  y = sin(t)…

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Q: Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

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Q: Problem 2: Use trigonometric substitution to show that 1 dx becomes x?Vx? +4 X x´+4 +C 4х

A: Use trigonometric substitution method for solving such integral

Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: 4. Sketch the function Ax) = 2xª – 16x², indicating any extrema, points of inflection,

A: follows the procedure given below.

Q: Find the solution. y'+=J5. y(1) = o у, у(1 х - 2 A y 9x 1 x+ 3x 2 - 3 9x 3 x2 – 3x +2 y 9x x3 – 2x 2…

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Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: dx X- eX -1

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Q: x +6x, xa everywhere.

A: A function g(x) is continuous at x=a if and only if limx→a- g(x) = limx→a+ g(x) =g(a) .

Q: Find f. f "(t) = 2e + 6 sin(t), f(0) = 0, f(x) = 0 %3D %3D f(t) %3D

A: We can solve the given problem as follows:

Q: Perform the operation and write the result in standard form. 3 4 1+i 1-i 7. +

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Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

Q: 11. Find the definite integral of S, 2 sinx 1+cos x dx : A. In (1+ cos x) В. 2 In 1 C. In 1 D. In 2

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Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

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Q: dx V5+4x-x²

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Q: A. Evaluate the following integrals: 3 | tan°x dx 1.

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Q: C) = ("; ')-,",) + Q1. Show that :

A: We have to prove the given expression.

Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Given that rate of decay of radium is proportional to the amount present at that time.

Q: x=r +1, y=r -t uation of the tangent to the curve at tl Show all your work.

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Q: ax+3, if x <2 f(x)= It is given that f(1)=5 bx2 +2, if x 22 and f(2)=6. Find the value of f(a+b). О…

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Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

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Q: Convert the Cartesian equation x 2 + y 2 = 36 to a polar equation. r = 6

A: Topic = Circle

Q: i an arithmetic series is 38. irst 40 terms of the series is 1250. the common difference of this…

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Q: dx V4-9x2

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Q: Determine the value of x that satisfy the following equation; sinh-1x = In(3 – x²) – In(x + v3).

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Q: 3920 - Sp22 5.4 A person's investment is expected to produce a continuous stream of revenue R of…

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Q: Find the limit. 6x +2 lim 13x 9 > Next Question

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Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

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Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

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Q: Evaluate the integral using the following values. 9. x3 dx = 320, 9. dx = 4 dx = 16, %3D - 10x + 3)…

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Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: Use the zero or root feature of a graphing utility to approximate the zeros of f(x)= 2x³+8x² – 5x-7…

A: The objective of the question is find the roots (zeros) of the given function.

Q: Jcos'xsinx dx 2.

A: (2). Given: I=∫cos3xsinxdx   ...1   We know that, the Power rule; ∫xndx=xn+1n+1+C ; n≠-1

Q: 3.) Evaluate: S (G++ 2) dx 4.) Evaluate: S(3sinx – 2sec²x)dx

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