1 e) lim (-—-—-₂--²-4) x-3x-2

Q: 1. Use the differential form of the chain rule to find if y = ² and u = x² + 1. 2. Find the…

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Q: (a) The curve with equation y2 = 5x4 - x2 is called a kampyle of Eudoxus. Find an equation of the…

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Q: 2. When a particle is located a distance x meter from the origin, a force of f(x) = 3x² + 4x…

A: When a particle is located at distance x meter from the origin, a force of  fx=3x2+4x newtons acts…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: The given points are (3,2,1) and (3,1,-7) and plane is 8x+9y+4z=17.

Q: Sketch the region whose area is given by the integral. Evaluate the integral. 8 sin(0) £726² π/2 J r…

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Q: Find the volume of the solid enclosed by z = 6, y = 0, y = 16-r², and z + y = 22

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, -6) +…

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Q: (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < πr, with starting point (,0).

A: Given equation of curve:- y=lnsinx

Q: Find the critical points for the function f(x,y)=5x^2−10xy+6y^2−4y and classify each as a local…

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Q: If U and V are positive constants, find the critical point of the function. Use upper case letters.…

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Q: Solve using the elimination method. Also determine whether the following system is consistent or…

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Q: How many critical points does the function f(x) = 8sin2 (3x) have on the interval (0, π)? Provide…

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Q: Solve yy'= -(x+2),Y(0)=\

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Q: Let f(x) = x³ – 5x² + 2x - 5. Find the open intervals on which f is concave up (down). Then…

A: The solution is shown below-

Q: Electric charge is distributed over the rectangle 0 ≤ x ≤ 2, 1 ≤ y ≤ 4 so that the charge density at…

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Q: for the following question above help me solve f

A: Given : for x&lt;-1f'(x) = ddx(-x+1)=-1for x&gt;-1f'(x)=ddx(-x2+3)=-2x

Q: Determine the truth set of the predicate: P(x): x € R/ x² − 3x + 1 = 0: 2 Solution: This is {x € R |…

A: Given Predicate: P(x) : x∈R ∧ x2-3x+1=0 To find: The truth set of P(x)

Q: 1. Find the length of the arc of the curve y = 2²/23 (3x − 1) ³ from x = 0 to x = 7 33

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Q: X -4 -2 0 2 4 36 6 10 0 -10 -6 ind h(f(g(0))) X ind k(3) if k(x) = . -3 -1 0 1 3 x²g(x). g(x) -7 -5…

A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

Q: Consider the functions graphed below. C (0,b) (1,1) (a) Find the slope of the line. slope = Answer…

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Q: Let f(x) = 5x + 4 and g(x) = ax + c where a and c are non-zero constants. Use lower case letters in…

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Q: Where does the line x = 4+t, y = 7-t, z = 2t intersect the cylinder x² + y² = 121? Enter your…

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Q: Find the general solution for the differential equation. dv 6- - 12xy - x = 0 y = = 1/2 + Ce=x² y =…

A: Given differential equation:- 6dydx-12xy-x=0

Q: Evaluate; a.) Tim 6(x-2) = y(+x) x 3-8

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

Q: Implicit Solution (2xe ³4+ex) dx + 13x²e ³4 - y²) dy=0

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Q: LATIHAN 1 1. Obtain the cartesian equation of the curve by eliminating the parameter a. x = 3t ; y =…

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Q: Differentiate the function. g(t) = 4t-1/8 g'(t) =

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Q: let y = ln x find y' O 1/x O 1/x² O x X none of the above

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Q: f(x) = (x2-x-1) e-x is restricted to the domain x ≥ 0  and it has two critical points.  One at x =…

A: The given function is: fx=x2-x-1e-x.It is also given that it has two critical points x=0 and x=3.

Q: Use the function below to answer the questions. f(x) = 5x¹/5 - x (a) Find f'(x) = 1 X = 4 x 1 (b)…

A: Given: The function is f(x)=5x15-x   (a). Find the derivative of the given function.…

Q: 3 x-Vinc dx =

A: Given: ∫3xln(x)dx

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given two points ( 3 , 2 , 1 ) &amp; ( 3 , 1 , -7 )

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of 3…

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Q: Determine the volume of the region bounded by y=x^(2)-2x and y=x that is rotated about y=4

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Q: Evaluate the double integral over the given region R SS ex- dx dy R: 0≤x≤ In (4), 0≤ys In (4) R

A: Use the common integral formula: ∫eax+bdx=1aeax+b+C   Given: ∫∫Rex-ydxdy  R: 0≤x≤ln4, 0≤y≤ln4

Q: Find the derivative of the function. y' = -1(x - √ ₁ + x²) 1 y = 9 tan-¹(x-

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Q: Consider the function f(0) = 7sin²0 - 7cos0. a) Find f'(0) = 7 sin (20) + 7 sin (0) (b) Find the…

A: Consider the function f(θ)= 7sin2θ-7cosθ.  a) Find f' b) Find the critical points on the interval…

Q: "This passcode consists of the two below limits which include an Remember to type "infinity" for 0,…

A: For x approaching c from the left, x&lt;c  ⇒  x-c5&lt;0The denominator is a negative  approaching…

Q: 3. Use the limit definition of the derivative to find f'(x) for f(x) = 7x² + x.

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Q: Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart.…

A: Given : their bases 100 ft apart BD = 100 ft let BC = x  CD = 100 - x

Q: Convert the integral to polar coordinates and evaluate it (use t for 8): With a = √4 ²0b=0c and d=…

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Q: Evaluate the iterated integral **²y³ dady.

A: K=∫04∫016x2y3dxdywe know ∫xndx=xn+1n+1+c

Q: A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/…

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Q: find a reduction formula for the integral|x" cos x dx.

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Q: What region R in the xy-plane maximizes the value of (1-2x² - y²) dA? R R is the set of points (x,y)…

A: what region R in the xy-plane maximize the value of given integral.     Here i attached the solution…

Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x² + y² + 2² = 6 and 1x² +…

A: Solution below

Q: 8. For which values of r does the following series converge? (-1)" η n=1 -(2x + 4)"

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Q: What is the minimum value of f(x) = x^2 - 8 ln x   on the interval [1,5]

A: To determine the minimum value of fx=x2-8 lnx on the interval 1, 5.

Q: ← Give integers p and q such that Nul A is a subspace of RP and Col A is a subspace of Rª. A = 1 245…

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Q: a) f(x) = x2 sin x is restricted to the domain 10 ≥ x ≥ 0  and it has four critical points.  They…

A: Since the student has posted multiple questions and does not mention any specific question, so we…