B. Evaluate the limit of a function using the co indeterminate forms. 6x2-7x-3 1. lim 2х-3 X- V2x- 6-x 2. lim 4-x2

Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: 8. y = Jcos x – 4 sin(1 + x3

A: To give what is asked. To find dydx. To show the solution. y=cos x-4 sin1+x13

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Q: (iv) Consider the arrangements in a line of all the letters of the word ISOLATION (a) Calculate how…

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Q: A body at a temperature 0 degrees Fahrenheit is placed in a room temperature is kept at 100 degrees…

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Q: 2. An jet travels horizontally at a speed of 500mph at an altitude of 3 miles above the ground. A…

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x2In(x) given the…

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Q: What is the equation of the vertical asymptote of f(x) = tan x where 0 < x < n

A: First draw the graph and get the vertical asymptot.

Q: The integral of the given function f- (9- dr Arcsin +C b.+ Arcsin + C c. -- Arcsin +c d. None of the…

A: To find the value of a given integral we use the substitution method

Q: * = 1+ ev-a+5 %3D C = xe-5 – e*-y None of the Choices O Option 1 C = xe – e-y C = xe³ + e#-y Option…

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Q: - y = V1 – sinx

A: Given,y=1-sinx3y=1-sin(x)13Differentiate w.r.t. x using chain…

Q: An jet travels horizontally at a speed of 500mph at an altitude of 3 miles above the ground. A…

A: We need to find the rate at which the angle of elevation is changing.

Q: Choose the most appropriate answer: Evaluate the integral : f 7x6 dx x7+2 O In(x7+2) + C O In(x7+ 2)…

A: We will use substitution method to solve the integral.

Q: Find f(x) if f' (x) = 3x – 2x + 3 and f(2) = 15. - f(z) = Preview %D

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Q: 11.What value of x is the function f(x) = Vx2 - 3 continuous? Α. x =0 B. x = 1 C. x = -3 D. х 3D -2

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: dx 3+x4

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y, (6, 0,…

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Q: The integral of the given function f sin ucos udu is sin*u -sin*u +sin'u +C b. -sin*u +sin u+sin'u…

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: If f(x, y) = 5y² – 7xy+ 14x, then is given by: - dy? O -4 O 17 O 10 O -10

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Q: 3-1 D. Is the function k(x) = x2-1 2,x = 1 continuous at x = 1? %3D

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Q: Consider the following. u = (-9, -3, -7), v = (-4, -5, –1) (a) Find the projection of u onto v. (b)…

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Q: The integral of the given function fł-16) dx is v-16 +C a. Vx - 16 - 6Arcsec+ b. Vx - 16 - 6Arcsin+…

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Q: Find the slope indicator of the tangent lines of the given function and evaluate the slo the given…

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Q: 5. In the given differential equation, eliminate the arbitrary constant. SHOW YOUR COMPLETE AND…

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Q: xsin-(x) If x =0.03 and y = 0.62, then value of C in the antiderivative of F(x) = is V1-x2

A: Given  F(x) = x sin-1(x)1-x2

Q: 3 dx Vェ(エ+1) x(x +

A: The given integral is: I=∫0∞3x(x+1)dx...(1)

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Ex Find div F when F=3xyi+ 2xy3at (リ-1)

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Q: 1+ cos(t) 1 – sin(t) 2t) (n) y(t): (o) y(t) = In(5tª + 3t2 + 1) (p) y(t) = t° + T' + e™

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Q: 0. -10 0 -101 -5 0 B = -2 10 2 6. 4 -5 -4 -2

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Q: 6. A firm estimate that its daily cost function of producing and selling x items is C(x) = x³ – 6x²…

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Q: (2x – y)dx + (4x + y – 6)dy = 0 - C = x + y – 1 C = x – y+1 Option 4 Option 3 C = x – y – 1 %|

A: We are asked to solve the equation and find the value of c

Q: Evaluate the limit a x approaches positive infinity

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Q: For numbers 13-14. Consider the graph of the function. 13. Which of the ff. points does the function…

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Q: 1. Differentiate a trig function that is greater than a power of 1, and involve either quotient,…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 7x - 3y + z = 8 x + 4y + 5z = 1 O…

A: Given query is to find the angel between the plane.

Q: Determine whether the two functions are inverses. -5 -5-2x w (x) = and z (x) x+2 dz(x) = O The two…

A: Given: w(x)=-5/(x+2) and z(x)=(-5-2x) /x.

Q: Exercises: SOLUE & submit written due next meeting Sketch the region bounded by the given curves,…

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Q: Select the correct graph of y = sinx, y = 0.2, and y = – 0.2. 03 Figure 1 Figure 2

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Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

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Q: 14 Approximate (x - 5) dx using 4 rectangles. It is approximatiey. (If necessary, round to two…

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Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

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