Find the slope of the tangent line to the curve 1 3 + x Y - 1 at the point (1, - 2).

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Q: Find the equation of the tangent to the curve at the point where x = 4. f(x) = √x √x+1

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Q: Find an equation of the plane consisting of all points that are equidistant from (3, 3, 1) and (-5,…

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Q: For 9/-3, write the conjugate of the complex number, then multiply the number and its conjugate.…

A: We have given a complex number as  9i - 3  We have to find the conjugate of this complex number. We…

Q: (ir, cos³e day+ycosx тусова = Sinz

A: The given differential equation is: cos3x dydx+y cos x=sin x

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Q: Given the Taylor series et =1+x+ + ++ x³ 2! 3! n! the following at c = 0. Express your result using…

A: The given function is: f(x)=x4e-5x

Q: Question 4 Consider the function (i) Find (ii) Find af ах ду 8f8f 8f Ах2 Әх ду ду f(x) = (x - 2)²yº…

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Q: Evaluate e fy'dz ¸y³dx – x³dy, where C' is the boundary of the region between the circles x² + y² =…

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Q: A cat falls from a tree (with zero initial velocity) at time t = 0. How far does the cat fall…

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 8s +…

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Q: Find the domain and range of the function. (Enter your answers using interval notation.) f(x) = 3x²…

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Q: PROBLEM NUMBER 5 Evaluate +2. 1 82³ dz.

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Q: Consider F and C below. F(x, y) = 1 + x² 49π 4 i + 2y arctan(x) j C: r(t) = t² i +7tj, 0 ≤t≤ 1 (a)…

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Q: Question 2 Consider the function f(x)=2x" ln(x + 8x+8). The function f is complicated enough that it…

A: Given: f(x)=2xalnx4+8x+8 Stationary point is at x=x0 that is close to x=-1 a=3 Chain rule for…

Q: 9. Evaluate the following series: 7 (-1)^(6k) k=3

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Q: Integrate the function f over the given region. f(x,y) = xy over the rectangle 6 ≤x≤10, 4sy≤8 OA.…

A: given f(x,y)=xyover rectangle  6≤x≤10, 4≤y≤8

Q: Rewrite the polar equation 7 mmmm Submit Question 6 sin() as a Cartesian equation. Question Help:…

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Q: . 40 기도) 3 k=3

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Q: Find u v, uu,u², (u v)v, and u u = (5,-8, 8), v = (-6, -1, 2) (a). u. v (b) (c) (d) (e) UU ||u||²…

A: (d) given u=<5,-8,8>  and  v=<-6,-1,2>

Q: Solve given Homogeneous D.F (i)(²38²)dx - 2xy dy=0; y[2]=6 0.2

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Q: ƒ'(x) = = f(x) = + S Find a formula for the function f(x) such that cos(x) and f(5) = 2. X t = t= ||

A: The given function is: f'(x)=cos xx ;    f(5)=2

Q: Determine whether the series is convergent or divergent. If the series is c 5k +2k gk find its…

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Q: Part b

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Q: Question 7 3- 2 -5-4-3-2-1 H -2 -3 - 4

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Q: Use the graph to evaluate the limit. im 10x)

A: limx→a-f(x)=limx→a+f(x)=limx→af(x)

Q: Evaluate the iterated integral 02 SS -3-2 (17x+10y + 14)dx dy.

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Q: Find all the possible rational zeros of the following polynomial: f(x) = 3x³ - 20x² +33x-9 O +1, +3,…

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Q: Perform the indicated operation: { 5 [ cos (178°) + i sin (178°) ] } / { 3 [ cos (173°) + i sin…

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Q: of each rational expression. 1 x (x² + 1) x² (x − 1)²(x + 1) x² 19. 23. 27. (x − 1)²(x + 1)² - +4

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Q: Find the area between the curves. x= − 3, x= 3, y=2e²x, y=e²x +1 The area between the curves is…

A: The equation of the curves are C1: y=2e2xC2: y=e2x+1C3: x=-3C4: x=3 To evaluate: The area between…

Q: 2. Find the area bounded by the curve y = the x-axis, and the vertical lines r = and x = 1.

A: The area bounded by the curve y=1x,the x-axis,and the vertical lines x=12 and x=1 Graph

Q: 64x+530 The average cost function for a particular business that sells toys is represented by A(x) =…

A: The average cost is, Ax=64x+530x where A is represented in dollars and x in the number of toys…

Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: Given F( x , y ) = ( y - cosy , xsiny )  Green's Theorem  ∫( F1dx + F2dy ) = ∬( ∂F2∂x - ∂F1∂y )dxdy…

Q: Given F f(x,y,z) = (3yz, 3xz+3,3xy + 2z), find a function f so that F = Vf Use your answer to…

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Q: Please help with # 14 thanks

A: To solve the following

Q: We are interested in the first few Taylor Polynomials for the function f(x) = 4e²+ 7e-ª centered at…

A: f(x)=7ex+4e-x

Q: Evaluate (cos3A) dA.. A. B. C. D. x/6 27T 363 35T 768 23T 765 12π 81

A: To evaluate ∫0π6cos3A8 dA. Note: Since the student has posted multiple questions and does not…

Q: Find the average value of f(x,y)=xy over the region bounded by y=x² and y=56x.

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Q: Find all the values of x such that the given series would converge. (-1)" xn 11" (n² + 6) n=1

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Q: Find the distance between the skew lines P(t) = (1, −4, −2) + t (2, −5, 5) and Q(t) = (5, 4, 4) + t…

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Q: The traffic flow rate past a certain point on a highway is q(t) 1200 + 2100t - 450t² where t is in…

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Q: 83893 Find all angles 8 between 0° and 180° satisfying the given equation. Round your answer to one…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The function f(x)=1200x-100x represents the rate of flow of money in dollars per year. Assume a…

A: f(x) = 1200x -100x2 r = 4%

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Q: π/2 b. 2 sec (20) tan (20) de π/3

A: Solve by u substitution ∫π3π22sec(2θ)tan(2θ)dθ

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 16.3 #8

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Q: y dr (1 ㅗ Russe ; (대전)R

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