Find the interest earned on $30,000 deposited into an account paying 2.5%. Round to the nearest hundredth (if necessary). a) compounded quarterly for 10 years. b) continuously compounded for 10 years.

Q: If z = -4xe³xy and x = √t, y = . Then, the value of dat t = 8 is equal to 3√2 (-1/2² + 2³/1) e + ² 4

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

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A: Given :fx=cotx

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A: sin2θ+cos2θ = 1.

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A: A 20ft ladder is leaning against a wall and begins slide.The ladder is 12ft away from the wall and…

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A: Follow the procedure given below.

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A: Given, ∫125+225x2dx

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Q: The integral is improper. Select one: True O False 2 [₁² 2x -3 x² - 9 - dx

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Q: Differentiate implicitly to find the first partial derivatives of z. 7x² + 3y² + 11z² = 36 əz əx əz…

A: Differentiate implicitly to find the first partial derivatives of z.   7x ^ 2 + 3y ^ 2 + 11z ^ 2 =…

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Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

Q: Find ow/os and aw/ot using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s+t,…

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Q: Consider the following. w = √36 - 2x² - 2y², x = r cos(8), y = rsin(0) (a) Find aw/or and aw/00 by…

A: We can solve this as follows:

Q: (b) r4 x x²-9 dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the exact values of sin 20, cos 20, tan 20 and the quadrant in which 20 lies. tan 0 = sin 20 =…

A: Solution of given question is written in below steps.

Q: F8 e³ti+cos(5t)j +3sin(5t)k 3 -i+cos(5t)j +3sin(5t)k Question 7 The position vector r(t) =…

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Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = -2x - 3y c = 4, P(0, 0)

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Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

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Q: 30. Let f: RR and g: R → R be defined by f(x) = 3x + 1 and g(x) = x² - 2. Determine (fog)(2) and…

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Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

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Q: What is the area of the region between y=x²-2x-3 and the x-axis from to 6? x=0

A: Area bounded by the curve fx=x2-2x-3 and x-axis on interval 0, 6

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A: In this question we have to find interval in which function is increasing.

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 21 = 13 dy dx ||

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Q: directional

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Q: X 1. Find 1- x³ 1– + 0 x + 1 lim

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

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Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…

A: Solution of given question is written in below steps.

Q: √(√3+)dx Select one: OA. OB. OC. OD. ³/2-² + 4x¹/2 + G ³/2² + 4x¹/2 + G ³/2² + 4x¹/2 - ³/2x² + с +…

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Q: Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2 - 5yw + 8w2 = 4…

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A: Concept: The washer method: The washer method is the name for the use of the slicing technique.The…

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Q: x³ 3x²+5 (x-3) S - x³ - 5 In 1 x-31 + C Option 1 dx x³+5 In Ix-31+ C Option 3 x3 3 Option 2 x3 - 5…

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Q: Prove the identity. tan 0 1+ tan ²0 2 sin 20 To verify the identity, start with the left side and…

A: Basic question of trigonometry.

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Q: Question 25 For f(x, y), find all values of x and y such that f(x, y) = 0 and f(x, y) = 0…

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Q: 1. Determine the area of the region under the curve y=x√(x² - 1) 2. Determine the area of the region…

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