Find the area of the region included between the parabola py2 = x and the line x + y = p.

Q: Dada la integral doble: √²₂ √√²-²²e²²+v²³ dy dæ a) Grafica la región en el plano xy a la que se…

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Q: A rational fraction of the form Select one: True False f(x) is called a proper fraction if degree of…

A: Solution is given below.

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 9x+8 V = 2x + 1³.

A: The given equation 9x+8y=2x+y3 We have to find the derivative using implicit derivative.

Q: Find the equation of the tangent plane to the surface z = cos(5x) cos(6y) at the point (2π/2, π/2,…

A: The equation of the tangent plane to the surface ?=?(?,?) at the point (?,?,?(?,?)) is…

Q: 2x² + 4 over the interval [-2, 1]. Enter an exact answer. If there is more than one value of x in…

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Q: determine the values of r for which  erx  satisfies the differential equation, we substitute  f(x)…

A: To determine the values of r for which the given function is a solution of the differential…

Q: H y=x² R

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Q: Exercise 14 Find f'(x) for the function f(x) = x +9 x²-7-x+1 Apply the quotient rule to find a…

A: Quotient Rule of differentiation :           ddxuv = v.dudx - u.dvdxv2

Q: Determine where the graph of f(x) = 2x³ + 27x² − 45x-60 is concave down. f(x) is concave down where…

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Q: Evaluate the limit: lim 02 does not exist lim √(0+1)²-1. Q→-2 0 1 0

A: Put Q= -2

Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x(t) = t³ + 9t² −…

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Q: Which of the following was done to the graph of -x³+4x² - 4x + 7 to obtain the graph of x³ - 4x² +…

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Q: f(t)=3e-4¹sin5t (A) F(s) = - B F(s)= D E 15 (s-4)²+25 15 (s+4)²+25 There is no correct answer from…

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Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Given: the derivative of the function, f'x=4fx+5x

Q: If f(x) = sin(x¹), find f'(x) Find f'(2) (round to 3 decimal places)

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Q: What initial investment at 7% compounded continuously for 9 years will accumulate to $70,000? (Round…

A: We have to find the initial investment at 7% compounded continuously.

Q: (x - 1) If 1 / ² ) = = √ Ada² + √ dx [ B (x − 3)(x + 7) - 3 - then A+B = Bdx x +7'

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Q: Exercise 7 y v = (3.x-2) 6: The Chain Rule (a) Decompose the function in the form y=f(u) and u= g(x)…

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Q: f(x) = sin² x, find f'(x) Find f'(4) (round to 3 decimal places)

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Q: Calculate, to four decimal places, the first ten terms of the sequence. n *₁ = 1 + (-)"

A: We need to find out the first ten terms of the sequence.

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

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Q: Using the same graph of f(x), what is lim f(x) ? X-2 1. ANL 0 2 3 2 -1- -2+ -2 doesn't exist -1

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Q: er Derivatives 2.) What is d² y dx² Period when y=cos(2x³)

A: 4) The given function is; f(x)=lnx, x=3.

Q: Find the partial derivatives of the function dw Or dw dw Ot W= √√2r² +58² +4t²

A: We can find the partial derivative of the function .

Q: Evaluate the following integral

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Q: ← The following table gives the monthly premiums for an insurance policy on people of various ages.…

A: The given data is: age monthly premium       35 127       40 164       45 242       50…

Q: If / (7-4) (x + 8) 12 O 4 dx Adx - A+B 4 Bdx x+8' , then A+B =

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Q: ces Find the linear approximation at x = 0 to show that the following commonly used approximations…

A: we will find the required.

Q: The function f(x) = 2x³ − 33x² + 168x + 7 has one local minimum and one local maximum. Use a graph…

A: Topic - local maximum and minimum value of a function. note: as per battleby guidelines, We are…

Q: - 1 x216

A: To evaluate the following integral.∫x2-1x2-16 dx

Q: A ball is thrown into the air and its position is given by h(t) = - 7.3t² + 73t + 11 where h is the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: on the 4th implication where does the exponents of the i goes please elaborate

A: To find the rectangular form.

Q: {2, y) = tans (2 I

A: Please see the below picture for detailed solution.

Q: A 6 foot ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate…

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

Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. Ay 10-…

A: Here we can answer both the question in the below steps using the given graph.

Q: Q4 Calculate the volume of the solid obtained by rotating the region bounded by the parabola y =…

A: Topic = Volume

Q: Let f(x)=√4x² + 4x + 2 f'(x) = f'(4) = (round to 3 decimal places)

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Q: Find the exact arc length of the curve over the stated interval. 1 1 x==y+y from y = 1 to y = 2…

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Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = 1 f(x, y) = 4x 2y 1x + 2y 1

A: Given: Now, fx(x, y)=∂ ∂ x4x-2y1· x+2yTreat y as a constant             =∂ ∂ x4x-2y1· x+2y-∂ ∂ x1·…

Q: 2. Find the curvature to the vector-valued function r(t) = (sin(t), cos(t), t²) at t = 4.

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Q: Find the area of the parallelogram with vertices P C0, 0, 0) QC 31-374) R(3₁-1₁ ~51 5C6₁ -4,-97

A: Concept: The area of the parallelogram ABCD is  Area=AB→×AC→

Q: A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = t³ – t² –…

A: Topic- Application of derivatives We are given x(t)=t3-t2-16tWe know…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x,y) 8x - 7y 1x + 6y

A: To find partial derivatives,

Q: 168x+7,-6 ≤ x ≤ 14. Consider the function f(x) = 2x³ 9x² The absolute minimum of f(x) (on the given…

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Q: 2+2+2+1 de

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Q: 3 Find y" if y=4x° +3x³ −8x³ +6x² +15

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Q: Examine the function for relative extrema. f(x, y) = |x + y| − 5 (x, y, z) =

A: The given function is  f(x, y)=x-y-5

Q: Find the Linearization L(x) of the function at a. b) f(x)=e^x+1 , a=0.

A: To find the Linearization Lx of the following function at 'a'.fx=ex+1, a=0

Q: What is the result of multiplying out (2x − 7)(Ax² + Bx + C)? • Your answers should contain capital…

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