On the day of a child’s birth, a deposit of $P is made in a trust fund that pays 8.75% interest, compounded continuously. Now we know that the balance in this account on the child’s 25th birthday is $222822.57. Determine the value of P.?

Q: 4. Linear Equations b. 2y(y² - x)dy = dx

A: We can solve this as follows:

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A: To solve this question we would use the following supporting formulas   ddxcosx=-sinx ddxsinx=cosx…

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A: Given data:- The given function y= sqrt(|x|)

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A: Given data:- The given equation is, y=2x

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A: part A Q=A1v1 Part B v2=A1v1/A2 Part c velocity

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A: We want to use implicit differentiation to find partial derivatives.

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A:

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A:

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A: To find the solution of given differential equation.

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A:

Q: Find a formula for each function graphed in Exercises 29. а. b. (1, 1) 2 30. а. b. 2 0 30 (2, 1) 2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: Given, fx=-3x+7

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A: The average rate of change of the linear function is the slope of a nonvertical line.

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A: Given: Total number of cards = 52 Formula used: Probability = Number of favourableNumber of outcome

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A: Given, ∫26f(x)dx=9⇒f(6)-f(2)=9…

Q: Use the formula for nCr to evaluate the expression 4C4.

A: Given: The given expression is:  4C4. n = 4 r = 4 Formula Used: Crn = n!r!(n-r)!

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A: The graph of the function is To evaluate: The values of limx→3+fx-4fx+4, limx→3-ffx+4 and…

Q: Evaluate the following integral. 4 ex S- 2x 9- e -dx

A: See this solution in below.

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A: Given: Point 1,3 is on the graph of y=f(x). i.e. f(1)=3   (a) To determine the point on y=f(x+3)-5…

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A: Given that  Cost of a car = $31,500 Depreciation per year = $4500

Q: 7. Use the integral test to determine the convergence of the following series: ∞ n=2 n ln n น

A:

Q: . For what values of r does the function y = er* satisfy the differential equation y" - 4y' + y = 0?

A: Please see the below picture for detailed solution.

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A: Given query is to find indicated limits.

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A:

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A: Let the length of fence be L feetLet the width of fence be W feet

Q: 22. Use the graphs of f and g to sketch the graph of y = f(g(x)). . a. b. 8. -2 -4 2.

A: The given figure is:

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A:

Q: determine (algebraically) whether the given function is even, odd, or neither.   f1x2 = x3 - 4x

A: A function f(x) is said to be odd if f(-x)=-f(x)and even if f(-x)=f(x)Given function is f(x)=x3-4x.

Q: 4) Thomas kicks a rugby ball from 0.8m above ground in Devon's direction. The ball follows a…

A: Vertex form of parabola:- y=a(x-h)2+k  Here vertex(h, k)  When a>0 then parabola opens up and…

Q: Graph the functions in Exercises .37. y = sqrt(x + 4)         38. y = sqrt(9 - x)

A: Given data:- 37. y=sqrt(x + 4) 38. y=sqrt(9-x)

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: If a differential equation of the form Mdx+Ndy=0  the if it is exact i.e., ∂M∂y=∂N∂x.Then solution…

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Q: A cross section of the parabolic mirror in a car headlight is y² = 32x. Where should the bulb be…

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A: Given data:- The given functions is, fx=xgx=1-x

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Q: (g) Differentiate g(x) = /1-². cos¹ (√) 3

A:

Q: Use the Fundamental Counting Principle to solve:You are taking a multiple-choice test that has five…

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A: Half life = 4.5 billion years N(t)=0.77* N0t= ?t12=4.5 billion years

Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

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A: