Write a recursive rule for the sequence. a_(n)=3n-7

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A: To evaluate the given integral,Use the substitution u = 1 - 2t  .

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Q: on a) Consider the graph the graph OF F(x, y) = (y+9)(x-3). At which points tangat prane horizontal?…

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Q: y = (x²+8)

A: y=(-x2+8)4  formula used is d dx(xn)=nxn-1

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A: The given line is: y=x Find the point on the line that is closest to the point -8,-4

Q: An apartment complex can rent all 250 of its one-bedroom apartments at a monthly rate of $650. For…

A: Total apartments = 250  Monthly rate = $650   Let x = number of times rate increase by $10

Q: approximate using taytoy polynomial Invoer +260

A: Given, fx=x-3a=1n=20.9≤x≤1.1 The Taylor's Polynomial is given by…

Q: LINEAR DIFFERENTIAL EQUATION 3 ; y ( ¹ ) = 3 1.) dy dx + 24 x

A: As per the rules we can answer the first question and rest others can be reposted, to find out the…

Q: Let ƒ(x, y, z) = x² z and let C be the curve given by r(t) = (6e¹,6√√/2t,6e¯) for 0 ≤ t ≤ 1. Compute…

A: Find ds and then solve the given problem.

Q: Sketch the graph of the following function. f(x) = -(1/4)x -10 -5 y 10 5 -5 -10 5 square units 10 X…

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Q: Find the amount of money that will be accumulated in a savings account if $4825 is invested at 7.0 %…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x²-x-In(x) (a) Find the…

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Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

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Q: . Determine whether the Mean Value Theorem applies to the function f(x) = sin x on the interval 0,…

A: Condition for mean value Theorem:-1) function continuous on interval a,b2) function differentiable…

Q: verify that the mean value theorem can be applied to the function f(x)=x2/3 on the interval [0,1].…

A: we will find the required.

Q: Let x represent the vertical length of the garden as shown in the diagram, and let y represent the…

A: The length of the rectangle = horizontal length = y The width of the rectangle = vertical length = x…

Q: Sketch the graphs of the functions f and g. f(x) = 9x², g(x) = 2x + 3 -10 O 5 hty Ay X 5 10 -10 -5 5…

A: Area

Q: A couple from San Diego needs $20,000.64 as a down payment for their first home. If they invest the…

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A: Given : k= - 0.006 P(7) = 2.3

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Q: An object in a room warms at a rate proportional to the difference between its temperature and room…

A: Let Tt be temperature of object at time t and Ts be room tempaerature

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: As we know that Volume of the box = Area×height For largest volume , either dVdx = 0 or dvdy = 0

Q: https://lkdsb.... https://lkdsb.... G cartesian vect... Ikdsb.elearningontario.ca Gcuemath vect....…

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Q: Given: z = x² + xy²³, x = uv¹+ w²³, y= u + ve" ôz ow Find when u = -1, v = 1, w= 0

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Q: Find y' and y". y = (²+ √x)³ 3

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Q: 15+ 20 9 A 400 + 20 *How did you becoume this 20 9A 400 0-1503 +0.150-0-0454= -18 How !!! Help me to…

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Q: Find the area of the region contained inside the unit circle {x² + y² = 1} and outside the rose…

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Q: Set up the definite integral that gives the area of the region. Y₁ = x² + 2x + 3 = 2x + 19 L Y₂= -6…

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Q: 3. If x and y are two positive, real numbers whose sum is equal to 10, then what should I and y be…

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Q: th Find a formula for the n partial sum of the series 5+ th The formula for the nº partial sum, Sn,…

A: Given : Series is given as  5+56+536+5216+... + 56n-1+... To find : Formula for nth partial sum of…

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. Im 0.1+√2 0.1+√/2 O-1-√√2…

A: Writing given integral

Q: Consider the function g(x)=√x + x² where g'(x) = ₂ + 2x 2 3x3

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Q: → → Find the dot product between vectors a and b, given →→ →→ → d=3i-jandb=2i+j+4k

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Q: part b and c are incorrect for my homework. is there another way this can be done? I tried working…

A: b.

Q: Problem 4. Find the directional derivative of f(x, y) = in the direction of a point Q(4,7).…

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Q: Find f. f(x) = f"(x) = 5ex - 7 sin(x), f(0) = 3, ( 77 ) = 0 EN 2

A: Given :f''x=5ex-7sinx

Q: Consider the following function. t(x) = 4[1] Step 2 of 2: Find the length of the individual line…

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Q: Find y' and y". y' y" = y = (²+ √x)³ 3

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = -5xy-y², Po(7₁-7), A=2i+3j

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Q: Let (P) be the quadric surface given by the following equation y=5+x² +=² Then:

A: Given : Let (P) be the quadratic surface given by the following equation  y = 5 + x2 + z2…

Q: Solve the separable differential equation dx 1 = x² + dt 49 and find the particular solution…

A: dxdt=x2+149 ; x0=1

Q: Let (Q) be the quadric surface given by the following equation x² + ² = 9 Then:

A: check the equation

Q: Consider the following equations. y = x² - 4 y = -x + 4 X = 0 x = 2 Sketch and shade the region…

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Q: 5. Let D be the planar region that is inside both polar curves r = 1+ cose and r = 1+ sine, but is…

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Q: A basket contains 8 apples and 12 oranges. Two fruits are drawn with replacement from the basket.…

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Q: Use the definitions listed in Section 6.1.2 with f(x, y, z) = x² + yz, F(x, y, z) = (xy, yz, xz),…

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