6 + 5 4 3 2 1 What is the least possible degree of the polynomial graphed above?

Q: 00 15. The sum of the series : Ek=0 a. m (-1) ()2k+1 (2k)! b. 픔 C. -2 T 3 d. 5 T

A: First I have arranged the series and then using power series representation of cos(x) evaluate the…

Q: Find an equation of the tangent line to the curve at the given point. y = 3/sinx+cosx,    P = (0,…

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Q: Determine the area of the region enclosed by the Y-2x = -1 and 4 = x ² = 4x+4. Do not simplity…

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Q: T 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

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Q: Question Use the graph of f(x) shown below to determine each of the following limits. If any of the…

A: Given graph of a function f(x).

Q: 8. What rule should be used in deriving f(x) = x³? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x…

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Q: A baker sells cupcakes and bases her prices on the number of cupcakes purchased. 72Total Cost 66 60…

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. Ux=x-yz +y³

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Q: If y = √1 − x² sin¯¹x, prove that (1− x²) ¹ + xy = 1− x². dx

A: We can prove the given the result by differentiating the given function.

Q: Find the intersection of the line 1₁: x-6 2 || y+2 1 with the plane p: x-6y - 2z - 10 = 0

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Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line r = (2,−1, −2) + t(3,1, −2)…

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Q: 2 /// }} لال ملاملا

A: The given equation is;  y'''-y''-6y'=ex.

Q: The velocity of a particle varies directly as the product of its position and time squared. The…

A: To find the differential equation.

Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A: The given points A(-1,3,7) and B(2,-1,6).

Q: Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = ·S dx (x - 1)².…

A: The integral is y=∫ 2x2-3x+2(x-1)2(x-2)dx

Q: Evaluate the integral. 3 x - 3 dx 11 X

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: R: y = 2x +1,x+y=7,x = 8

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Q: 7) Write an expression that can be used to find the average value for the function g(x) over the…

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Q: If we have the determinant below equal to zero, find the value of X 6 x | = ( 0 18 6

A: Given: 6x186=0

Q: Given the initial condition y(0) = 1, find the particular solution of the equation y' = e3x - 2y

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Q: Find the exact length of the curve. 36y² = (x²-4)³, 5≤x≤9, y 20

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Q: 24. Which of the following lines is not parallel to the other three? a. 7=(3,-5,-3) + s(2,-3,1), s e…

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Q: 5a) Which of the following vectors are unit vectors? Justify your answers. *-[243] b) Are these…

A: A vector that has a magnitude of 1 is called unit vector. For a given vector v→= x,y,z magnitude is,…

Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: Please find the gradient of f(x, y) = ln(x² + xy²) at (2, 1)

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Q: Find the intervals where the function 1 f(x) = 2cosx + sin2x, 0 ≤ x ≤ 2π is concave up.

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Q: In a random check on an assembly line, the probability of finding a defective item is 0.005.…

A: This question can be solved using binomial probability distribution.

Q: The polar equation r(0) = 4 +5 sin(0) is graphed below. 15+ 14 13 12 11 10 8+ 7 6 + 5 O 4+ 3 2 + +…

A: Above question is solved.

Q: S

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Q: 3 -6 -4 -3 4 Let y = V1 = 1 5 -1 Compute the distance d from y to the subspace of R4 spanned by V₁…

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Q: 4 Evaluate the indefinite integral by using the substitution u = y² + 4y² + 2 to reduce the integral…

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Q: Solve the following system of equations using an inverse matrix. You must also indicate the inverse…

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Q: let f(x) equals three sin X plus cosine 4X; (pi,1) find the derivative find the slope of the tangent…

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Q: Find a point on y = x closest to (18,0) For what x is the slope of the tangent line at x to the…

A: Given

Q: f(x) = z²+6x+5 x-1

A: On solving this we will get

Q: Evalvate 5x-12 X (x²+4) dx

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Q: In(y) = −3x² + ln(7)

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Q: b) 42x + 4 = 6 (HINT: use substitution)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3 -6 -4 -3 4 Let y = V1 = 1 5 -1 Compute the distance d from y to the subspace of R4 spanned by v₁…

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Q: x-7 3. The limx→0- x a) 0 2x-5 4. The limx→5° x-6 a) 5 b) infinity b) -1 c) -7 c) -5 d) Does Not…

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Q: 1. The limx→4-7 a) 4 2. The limx→-4+ a) 0 b) - 7 √x² - 16 b) 4 c) 0 Ô 16 d) Does Not Exist d) Does…

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Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx y = S₂ 9x² +9

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Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t = 0

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Q: Let the region be bounded by y=1/x, x=1, and the x-axis. Find the volume of the solid generated by…

A: Using application of integration

Q: 4. Determine a value of k for which the line L₁ : x=2s, y = 1+ks, z = 2-s, se R and the line…

A: Topic = Geometry As per guidelines , At a time only one question can be answered. please repost for…

Q: 1. If f(x, y) = sin(4x-2y)+ln(x²-2y) find fy fyx

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