Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point Perpendicular to n = j (2, 3, –6)

Q: Late dx sec2 x (b) [*. dx /1 – tan² x VT(x+4) |

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Q: 0; x 0

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Q: a + 2b – c + 4d = 1 -a – 3b + 2c + 2d = 4 2a + 2b – c + 2d = 2 a + 2b +c = 1 using, a. Cramer's Rule

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: The area of a healing wound is given by A = ar². The radius is decreasing at the rate of 4…

A: Given query is to find the rate of change of area.

Q: A (4, 270°) (ounter= 909 120° 60° 150° 3.0° 180 0° 210° 330° 240° 300° 270°

A: We have to find the other  three coordinates.

Q: The following puzzle was put on the board. We are two natural numbers. Our difference is 30, and our…

A: We have to solve the puzzle

Q: 21 dy d-y Consider the curve x = y'. Use implicit differentiation to verify that and then find %3D…

A: answer of given question is in step 2

Q: 12. 2y" + 2y' + y = 0

A: We have to find solution

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: sin x e dx Co x

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Q: Find the maximum and minimum of w(x, z) = 2xz + z^2 +1 in a region R bounded by x = 0, z = 0, and x…

A: The bounded region R is:

Q: 0.1 at c 5, use linear approximation to estimate Ay Let y 2x + 8x + 4. If Ar Ay =

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Q: А 33 200' 630 a Vertices A and B of AABC are on one bank of a river and vertex C is on the opposite…

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Q: Write the equation of the line tangent to the graph of y? 2y + 10x 17 at (2, – 3). - The equation is…

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A: Given problem:- A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder…

Q: The marginal cost of a product is modeled by dC 16 dx 16x + 7 where x is the number of units. When x…

A: Given query is to find the cost function.

Q: True or false: 1. Is the limit of f(x) as x approaches c always equal to f(c)?  2. Limits of…

A: topic - limits

Q: Question 2 A company manufactures two types of typewriters- electrical (E) and manual (M). The…

A: Let's find.

Q: Sketch the region bounded by the graphs of the functions. y = x2 - 4x + 4, y = x2 - 12x + 36, y = 0

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z = 5 4x - 20y – 4z =…

A: Solution is given below:

Q: SAQ 2: If f(x) = then using the table of values show that lim f(x) does exist %3D X-1 and find the…

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Q: 1 for convergence, you can use the P-test. (You could also use the To test the series k3 k=1…

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Q: Using the simplex method solve the linear programming problem. maximize z= 8x1 + 10x2 + 7x3…

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Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Verify that the Mean Value Theorem (MVT) applies to the function f(x) = sin? x – cos x on the…

A: Mean Value theorem states that: f'(c)=f(b)-f(a)b-awhere f(x) is differentiable in (a,b).

Q: 1 dx V1-x

A: We can find the integration as below.

Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

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Q: 0.8 0.6 0.4 0.2 (c) -0.3 -0.2 -0.1 0.1 0.2 0.3 0.3 0.2 0.1 0.2 0.4 0.8 10 -0.1 -0.2 (d) -0.3 x = 0.5…

A: 1.  x=0.5-0.5ty=1-t2 Answer is (b) 2. x=t3-0.7ty=1-t2answer is graph (c)

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

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Q: n(-5)" converges or diverges. n! Use the ratio test to determine whether n=16 (a) Find the ratio of…

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Q: 8olve the tollowing paots By Pong division method @(2x+10x+12)÷ (x+3) D(4x²-7x²-11x+5) = (4x+) b. O…

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Q: 1. Y = eee*

A: 1.Solution :y=eeexdydx=eeexddxeexdydx=eeexeexddxex

Q: (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist. Use the o…

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Q: 2. Find the limiting values of 3x2 + 5x-4 (i) 5x? - x +7 as x → 00

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Q: 1.e -9- -2 4,0 2

A: Given query is to find the equation of the polynomial.

Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: (1) Let g(x) :| f(t) dt. What is g'(x)? a

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Evaluate limx->3  x2 + 3x - 4

A: Solution :limx→3  x2+3x-4Split the limit using the Sum of Limits Rule on the limit as  x  approaches…

Q: u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the vector component of…

A: We have to find projection

Q: Suppose f''(r) = - 18z + 2, f'( – 1) = – 18, and f( – 1) = 1. Then f(r) =

A: See the answer below

Q: 3. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALC9 3.9.533.XP. MY NOTES PRACTICE ANOTHER Find the most…

A: Kindly see the below attached solution

Q: Evaluate the iterated integral by converting to polar coordinates. V4 - x 2 x² - y² dy dx

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Q: y=Cx^2 and y=lnx find C where the graphs are tangent to each other

A: We have to find the value C.

Q: A stone is tossed vertically in the air from ground level with an initial velocity of 35 m/s. It's…

A: Given query is to find the average velocity in the given intererval.

Q: 1) Find the exact value of each trigonometric expressions. (sin (-) b) cse (sin- (-)) a) cos-1

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