Find the future value P of the amount Po = $200,000 invested for time period t = 2 years at interest rate k = 6%, compounded continuously. If $200,000 is invested, what is the amount accumulated after 2 years? (Round to the nearest cent as needed.)

Q: The gradient of the function 2x1 + x2 − 3 evaluated in x = (0 0 0)² is: OA. Vf= (1 2 3)T OB. Vf=(0 0…

A: ∇f =i∂∂x+j∂∂y+k∂∂zf

Q: C. Find the value of dx/dz&dx/dy y lnx-x² + 4 = 0 at the point (1,-1,-3) if the equation xz +

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A: Given problem:- Find laplace transformation of f(t) =e-2t t3

Q: solve the following diff. eque. of едис. (2) ý ty +y = Sec (x)

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Q: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

A: We wil use substitute method

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A: Here we have to find the area of a sector.

Q: 10. Two beach balls have a diameter of 8 inches and 20 inches. Which of the following statements…

A: diameter 1ball=8inches 1ball=20inches we know that diameter=2*radius

Q: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

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Q: √9-x²2x √ O O√9-² % √9-2 - - Arcs + C +Arc3in Ễ+ế

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Q: 1. Evaluate the following integrals: dx -x² + 4x - 3 f) . dx (x - 2)√x² - 4x +3 S

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Q: Which of the following is the graph of (y-2)² = −4(x - 2)² 12 5 n 24 X + 3 24 CV 9 T ny 7 T O & 7 6…

A: (y-2)2 = -4(x-2) compare with equation   (y-k)2 = – 4a(x-h) so we get   k = 2 h = 2 a = -1

Q: What is not true about the curve y = Intersect the x-axis at (2,0). None of the Choices as x ∞, y →…

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Q: 8. f sec² (3x - 1) dx

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functi h(x) = = 60%…

A: We have to find derivative

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A: To find out the equation of the parabola.

Q: 3-6 For sketching the function y = y-intercept x-intercept horizontal asymptote concavity of the…

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Q: Find the simplified form of the following expression. State restrictions. x²-1 x²-x + x-2 x²+x-6

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Q: a) (11-1) If A = 0 -2 3 001 , Show that A² = −4+27, where is the identity matrix.

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Q: 2. A 20-foot chain with density 4 lb/ft hangs off the roof of a building. How much work is required…

A: We are asked to find the workdone of the chain

Q: 4 x+4 dx

A: We have to evaluate ∫4x+4 dx.

Q: Find the slope of the secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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Q: We are trying to prove the following limit. lim (-3x - 2) = 1 x→-1 1 Suppose that we have found a…

A: We are trying to prove the following limit.limx→-1-3x-2=1Suppose that we have found a value of ?…

Q: f(x) = -3 sin x [0, 3T]

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Q: Tolerance By default, your numerical entry is scored as correct if it is within 1% of the correct…

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Q: Prove that for all positive integers n, we have 6″ Σ (1) * _ "(-¹)" 2 k=1 k odd IG

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Q: fe7x-3 dx

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Q: 9. Expand and simplify the answer. (2x - 2)°

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Q: For Numbers 27-29. Suppose that a particle moves along a line with position s(t) = 2t² + 3t + 1…

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Q: Let y = sinx, if y(n) = sin x then n =

A: This question can be solved using the concept of higher order derivatives.

Q: The gradient of the function 2x1 + x2-3 evaluated in x = (0 0 0) is: OA. Vf = (1 2 3)T OB. Vf=(0 0…

A:

Q: No Problem In Exercises 1-6, set up and evaluate the integral that gives the volume of the solid…

A:

Q: Establish the identity. sec ² (-0)-1 = tan ²0 Which of the following four statements establishes the…

A: See the answer below

Q: s! = xpε + ₂x7M9+ ₂X†)x]

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Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: ion cannot exist for a plane. 4. Determine the vector, parametric, and symmetric equations of the…

A: In this question, we want to find the vector, parametric and symmetric equations of the line Passing…

Q: Question 10 Find the partial derivative of z with respect to x (8) f ах (22−y) = Əz C dz 2(x-y) 2²…

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Q: Find the solution of e*tyy' = 3x given y(1) = 3.

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Q: Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

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Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

Q: TRIANGLE METHOD: 600 NON and 8 =35 m 3 1. Given two vectors A = 70 m 60° N of E and B = 35 m 30° S…

A: I am attaching image so that you understand each and every step.

Q: If y = 2x² then dy dx 11

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Q: b.5 (a.a, (a) a) + (3B,0. #16.) The vectors d and e are such that 1a1-3 and 1el =5, and the angle…

A: [d] =3 [e] = 5 angle is 30  cos30 = 0.866

Q: Which is the standard equation of the parabola in the graph? Directrix 2 Focus Axis T قمة [cy…

A: To find the standard equation of the given parabola

Q: #11Determine the conditions on parameter k such that the function f(x) = 2x +4 X2-K² will have…

A: According to bartleby guideliness we can answer only the first  3 subpart of multiple…

Q: Q2. Find the standard deviation for the data: 5,10,7,12,0,20 7

A: We have to find the standard deviation for the data: 5,10,7,12,0,20

Q: IV. Implicit differentiation 114 4. x³y + xy² = 3 and x = 1, find y' and y²

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Q: Review Exercise 1. Determine vector and parametric equations of the plane that contains the points…

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