Fill in the missing values such that the final term is pulled out of the summation. Ex: 5 15 Σ; = Σ it Exs i=1

Q: The diameter of a tree is increasing at a constant rate of 3 millimeters every 2 years. If this rate…

A: Let diameter of tree=d mm

Q: A car dealership advertises a 10% discount on all its new cars. In addition, the manufacturer offers…

A: Given function f( x ) = 0.9x g( x ) = x - 1750

Q: 39. y = x + x=1 (x > 0)

A: We can solve the given problem by using the first derivative test.

Q: Find the solution to the boundary value problem: The solution is d²y dt² dy dt +65y = 0, y(0) = 4,…

A:

Q: Find the linearization L(x) at x = a. f(x)=-3x³+4x-1 L(x) = a=2

A:

Q: As viewed from above, a swimming pool has the shape of the ellipse 3600 + 2500 = 1, where x and y…

A: Given equation:- x23600+y22500=1

Q: 1. Use Implicit Differentiation to find y=da (1 - 4x²) tan(-3x - y) = y³

A: Given  ( 1 - 4x2 )tan( -3x - y ) = y5

Q: 3. y = cos x - sinx, [0, 2л]

A:

Q: Use the additivity of moments to find the COM of an ice cream cone consisting of a semicircle of…

A:

Q: Find at least ten partial sums of the series. (Round your answers to five decimal places.)…

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Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one…

A:

Q: The figure is the graph of the derivative, f', of a function f on [-2,4]. Determine the intervals on…

A: The figure is the graph of the derivative, f' on -2, 4. To Find:  To determine the intervals where…

Q: At 2:00pm a car's speedometer reads 20mph, and at 2:10pm it reads 25mph. Use the Mean Value Theorem…

A:

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Given :ft=t2-1t2+1    -2, 2

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = 5x4 - 20x³ +6

A:

Q: Let y=tan(2x + 5). Find the differential dy when I = 4 and da = 0.2 Find the differential dy when z…

A: Explanation of the answer is as follows

Q: Problem 6. Evaluate the volume of the solid region above the paraboloid z = x² + y² and below the…

A:

Q: Gonzalez Manufacturing borrowed $30000. Part of the money was borrowed at 10%, part at 12%, and part…

A: Let the money borrowed at 10 % = x Let the money borrowed at 12 % = y Let the money borrowed at 14 %…

Q: 10. The Colossus was a ferris wheel built in Saint Louis in 1986. The diameter of the wheel is 165…

A:

Q: Absorption of Drugs The concentration of a drug in an organ t seconds after it has been administered…

A: The concentration of a drug in an organ t seconds after it has been administered is given by  x( t )…

Q: Find the Annihilator of the given function(s) f(x)=e²x+4e -3x a. (D-2)(D+3) b. (D+2)(D-3) C.…

A: Option (a) is correct  For detail...go through the solution

Q: Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theorem…

A: We have to find the values of c.

Q: The graph of the derivative f ′(x) is given. Determine the x-coordinates of all points of inflection…

A: According to the information graph obtained is

Q: A vehicle purchased for $29800 depreciates at a constant rate of 17% each year. Its value after t…

A: Given :Original value = $29800Constant rate = 17%A=P0.83t

Q: im confused on the last part:  What will be the size of the population after three doubling times…

A: NOTE: Refresh your page if you can't see any equations. . the initial population is 30 thousand

Q: 85,000 is deposited in a saving account with 6.35% annual interest. When will be the initial sum…

A: To solve this problem, we can use the formula for compound interest:

Q: The graph of a function is given. Find the approximate coordinates of all points of inflection of…

A: The points of inflection of a function are the points where the concavity changes. To find these…

Q: Find the solution to the boundary value problem: The solution is d²y dt² dy +65y = 0, y(0) = 4,…

A: Given differential equation d2ydt2 - 8dydt + 65y = 0

Q: Subject: Differential Equations If 75000 is deposited in a savings with 6.53% annual interest. When…

A:

Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: In A CDE, DE = 14, CE = 9, and m/E = 71°. What is the length of CD? Enter your answer, rounded to…

A: Solving the following problem

Q: Evaluate the limit lim t-0 os(t) i + 1 - cos(t) t 3 12² ³ 5 ³ + e³¹²7) -

A:

Q: Given f(x, y) = sin(x+y) where z = s³t³, y = 3s-5t. Find f(x, y) and f(x, y). Write answers in terms…

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Q: Find A-1 1 1 1 A 3 2 -1 31 0 or explain why it does not exist. Select the correct choice below and…

A:

Q: be In the first answer field, write out the derivative using the quotient rule without simplifying.…

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Q: Consider the function graphed below. Does this function satisfy the hypotheses of the Mean Value…

A: We have to use the mean value theorem defination to solve the above question.

Q: 3. Find the eigenvalues and cigenspaces, as well as a basis for each eigenspace. (a) [88] 12 3 4 000…

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Q: me average length of the outer ear for men can be modeled as f(x) = 0.89 +0.495 In x inches here x…

A: Given The average length of the outer ear for men can be modeled as f(x)=0.89+0.495In(x) inches…

Q: 1. The position of a missile, neglecting gravitional force is described by: s = 40t In(1+t) Where s…

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Q: Find the maximum value and the minimum value of the function and the values of x and y for which…

A:

Q: 5. Determine if the following integral is convergent or divergent. Do not calculate it. 1+2 sin(¹)…

A:

Q: 1. Let D be the domain of the function g(x,y)=√²-y. What is D as a subset of R27 Sketch or describe…

A:

Q: Find [[ cos (2² + 3²)dA where D = COS D {(x, y) | 16 ≤ x² + y² ≤ 64}

A:

Q: A ramp 20 ft long rises to a platform that is 17 ft off the ground. Find x , the angle of…

A: Given length of ramp = 20ft Height of ramp =17 ft

Q: Solve the given system of differential equations by systematic elimination. D²y = e4t Dx + (D+1)x+…

A: The given system is:Dx+D2y=e4t                                .... (1)(D+1)x+(D-1)y=2e4t…

Q: Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for…

A: Compound interest formula A = P( 1 + rn100 )nt A = amount after time t P = principal amount r = rate…

Q: The function below represents the number of people who have a rumor tt hours after it has started.…

A:

Q: 2 6² 6² S (3x + 4y) 5dxdy 0 Find

A: We need to evaluate :

Q: Consider the function ₁ (t): = t and suppose the Wronskian of x₁ (t) and some unknown function 2 (t)…

A:

Q: Suppose that f(x, y) = 2x + 2y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. Then the double…

A: Suppose that fx, y=2x+2y on the domain D=x, y 1≤x≤2, x2≤y≤4 Then to evaluate the double integral…