Find an equation of the plane with the given characteristics. The plane passes through the points (4, 2, 1) and (-1, 4, 5) and is parallel to the z-axis.

Q: * TO 7. Determine a function whose graph has vertical asymptotes at x = ±2 and a horizontal…

A: The objective is to determine the required function.

Q: determine if it converges or diverges   a) cionverges by series p b) diverges by series p…

A: To solve the following problem

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Question A spherical balloon is being filled with air at the constant rate of 10 cm'/sec. How fast…

A: This is a problem related to rate of changes. Based on the formula of volume of sphere we will…

Q: Question A vertical cylinder is leaking water at a rate of 5 m /sec. If the cylinder has a height of…

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Q: Evaluate the following limit using L'Hospital's rule. lim (cos(6x))) Provide your answer below: lim…

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Q: The velocity graph of a car accelerating from rest to a speed of 105 km/h over a period of 30…

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Q: Find the general solution of the DE below. Show the method on how you get the roots, not by…

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Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = | %3D N(8) =

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Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A: The objective is to evaluate the limit.

Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

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Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.

Q: Evaluate the definite integral. 7t ej+t O e? - 1 i - elj+ 7 2 O e? - 1 i+ 7 k - O eľ - 1 i - 7 1 k -…

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Q: Given the graph of the function below. Find the limit of the function as x approaches 5. * (3, 4)…

A: From the given graph, we have to find the limit at x=5

Q: y ~ y=x+1 x=4 y=0

A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

Q: Graph the following equation by completing the table. r = 3 + 3sin0 0° 30° 90° 150° 180° 210° 270°…

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Q: Determine whether the given series converges or diverges. 4n – 8n 5" n = 1 converges O diverges If…

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Q: -243 S sx(*)dr J ft]dt =m Find if

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Q: 10. xy' + 2y = 6x²/y

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Q: Si la serie E, a, es condicionalmente convergente, determine cuál de las siguientes series es…

A: The series ∑n=1∞an is conditionally convergent.

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A: The objective is to find the vector v.

Q: 1. Find the rate of y with respect to x at the point (1, 7) if 7y – ry = 4. dy da

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Q: Step 2 6i If x = -2, then each x = -2 + jAx = -2 + 6i Step 3 Using (1 + 3x) dx = lim (1 + 3x,) Ax,…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Given,  Initial point: (3,2,0)  Terminal point: (4,1,8)

Q: a) Compute the area of the shaded region by "counting" the squares on the grid in the given region.…

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Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. a² + y?…

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Q: 4. Use the given graph of a functionf to answer the following questions. y= f(x) a. State all the…

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Q: Vn Find the area between f(x) = x- 16 and the x-axis from x 0 to x 9. The area is square units.…

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Q: 11. y'+3y = 3x2e-3x %3D

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Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, 1. y = sin (x? + 3x +…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: 30 If g(y) - (v- 11y + 18) lly + 18)*, find g'(y) = 30(v - 1ly+18) ) 29 (2y – 11)

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Q: integral all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: x² sinh x dx

A: Let's find.

Q: Find the diameter of the circle 4x? + 4y² + 24y – 4x – 35 = 0. B. 6V2 C. 3V6 A. 6V3 D. 3/2 E. None…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSc x…

A: Let's find.

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: 16. SHOW ALL WORK Given the two complex numbers in trigonometric form, perform the indicated…

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Q: You are driving away from home. At​ noon, you are 216 miles away. Your velocity​ (miles per​ hour)…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 4. Find the area under the following curves over the indicated interval: (c) z = -3t2, y = 2t, for 2…

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Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

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Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: Find the following. (0, 1), v = (5, -3) (a) u|| (b) ||v|| (c) |u + || (d) |ll M (e) u+ v (f) |u+ v

A: Given  u = 0, 1, v = 5, -3

Q: Determine the integral of the ff. fun 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = ey? The domain of…

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Q: 2) With respect to the origin 0, the position vectors of points A, B, Cand D are given by OA = 1 OB…

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