Find the distance from the point (0,8,9) to the plane – 2y + 3z = 11.

Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: Find the equation of the tangent line at the given point on the curve. 3y - Vx = 23, (16,3) y =

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Q: Given –6i is a root, determine all other roots of f(x) = x + 2x² + 36x +72. x= -6, ±2i x = -2, +6 x…

A: Given query is to find the other two roots.

Q: dx 2. e2x+1

A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)

Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

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Q: The Plat circular plate has the shape af the region x+y<1. The plate including the boundary Hiw…

A: Temperature at the point (x,y) on the disk  x2+y2≤1 is given T(x,y)=x2+2y2-x

Q: The dimensions ofavectargubr refion are varying with the bimelt accordng -28 Cm/see and wa3t+6…

A: suppose area be represented by AA= L×wA=(2t2-8)(3t+6)A=6t3+12t2-24t-48now differentiating on both…

Q: Assume s is an angle with sin (s) = .t is an angle with cos (1) =. and both angles are between 0 and…

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Q: Find the values of a and b such that f is differentiable at x = 3

A: Given,            The function is fx=ax+bx≤32x1-1x&gt;3To find : Find the values of a and b such…

Q: 3. Find asymptotes, intercepts and graph. 4х -8 f(x) = X +1

A: Solve the following

Q: 2+1 3+x+1 The horizontal asymptote(s) of /) = is/are a x-1/3 b y1/3 C X1/3 and -1/3 d y1/3 and y 1/3

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Q: Find the Volume y=0, y= 1/x, x=1, x=4 revolving at the x-axis

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Q: Given are two points [1,3] and (6, –1] in the plane. Which equation of the form a ·z + b•y+c=0…

A: (y-y1)/(y2 -y1) = (x-x1)/(x2-x1) (x1,y1 ) = (1,3) (x2,y2 ) =(6,-1) (y-3)/(-1-3) = (x-1)/(6-1)…

Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: r2+vZ 1. =dx |4x – x²

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Q: dx e2X+1

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Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

Q: C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 r2+VZ 3. (2+vz х. 4х — х2

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Q: Determine where the local maxima and minima occur on the graph given. 12 10- 6- -12 -10 -8 -6 10 12…

A: Given query is to find the location of local minimum and maximum.

Q: Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

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Q: Use a trigonometric identity to find cos (x - 5) if sin (x) = (Express numbers in exact form. Use…

A: Given,            sinx=67To find : Find cosx-π2.

Q: Evaluate the limit below. - 2x2 + 13x – 21 lim x→3 х — 3 -

A: limx→3-2x2+13x-21x-3apply L hospital rulelimx→3-2(2)x+131limx→3-4x+13

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: S(t)=300etAverage weekly sales =13-0∫03300etdt                                 =13300(e3-e0)…

Q: I. Let J = x²y dA where D is D the region bounded by the x-axis, y = x' and x = a) Sketch the region…

A: Use shaded region to evaluate the answer

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: f(t) = -16t2 +385t +8 avg height from t = 5 to9.7 second f(9.7) =-16(9.7)2 +385(9.7) +8…

Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

A: To answer the given questions using the given graph.

Q: Determine the intervals on which the following polynomial is entirely negative and those on which it…

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Q: 1. Given: 7- 4r S(x) (z+2)² ' with f'(x) = (z + 8)(z= 2) and f"(z) = 8(7x – 4) (x+2)³ (z+ 2)* * e.…

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Q: Qz IF A-(-2 4) B=(% 4) 2 3 -2 4 Prove! CA *B)*C A*(BaC)

A: Here, the given matrices are: A=-24, B=5104, C=23-1-241

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: 1. Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

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Q: Find the distance between the skew lines i(t) = (3, 0, – 2)t + (7, 9, 0) and p(s) = (4, – 4, – 5)s +…

A: We have to find the distance between skew lines.

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (14, 0) Vg(14, 0) = %3D

A: gradient g(x,y)=(dg/dx)2+(dg/dy)2 dg/dx = 12ey/x + 12xey/xylnx dg/dy = 12ey/x (dg/dx)(14,0) = 12 +…

Q: Convert the given point to the indicated coordinate system. a. Rectangular (?, ?, ?) = (2, −2, 4) i.…

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Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: In a race to better understand the behavior of Dresident Puterte, researchers have proposed two…

A: The given models have the equations: ln x2-14ln 2y2=δ, where δ is a constant and x, y are dependent…

Q: Graph the following vector addition: + Start from the origin. One vector to show One vector to…

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Q: Yes,  you did not say what a is and what b is. Their values

A: Apologies for the inconvenience.   To find a and b we set the equations equal to each other and…

Q: 1. Evaluate the limit below. -3(x – 10) lim x→10 x2 – 100

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Q: 9) Determine the Convergence fue series dirergonce of It Anyuners a) conneryes 5) diverges 9 Theorem…

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Q: O Find all velues of sx for whEu tue serics Converjes. for these alues of l, wnte tue sum of tue…

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Q: A particle is moving with acceleration a(t)= 18t+4 its position at time t= 0 is s(0) = 5 and its…

A: Given query is to find the position of the partical at t = 4.

Q: Find the gradient of the function at the given point. g(x, y) = 20xeY/x, (9, 0) %3D Vg(9, 0) =

A: We can find the gradient as below.

Q: 18g(x) - f(x)]dx =] %3D 2 (Simplify your answer.)

A: This question is based on substitution of given integral.

Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

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Q: Consider the following planes. 3x + 4y - z = 28 x - 8y + 2z = 0 (a) Find the angle between the two…

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Q: 3. Find the area of the region in the first quadrant that is enclosed by the coordinate axes and…

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Q: 9-1 -dy

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Q: sec*(x) dx. Vtan(x) a) Vtan(x)[5 + sec²(x)] b) V sec(x)[5 + tan² (x)] c) V tan(x)[6 + tan? (x)] d)…

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Q: representation for f(x). "(n+1) (n+2)! Lat f(r) dr = 2.

A: