Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

Q: Perform the operation and write the result in standard form. 3 4 1+i 1-i 7. +

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Q: Use Mean-Value theorem to find c X +2x-1 ; [o,i] xj[3,5] Use L'Hôspital vule to find the wmit lime…

A: We will solve the Problem on limits and mean value theorem.

Q: For the function f(x) cos(x) identify asymptotic behavior and then sketch a graph of the function…

A: According to company rule we can answer only first question and rest can be reposted.

Q: dx

A: We will use substitute method to solve this integrate

Q: 2 4 2n 2 4 + 4 + 4 - n n n n is a right Riemann sum with n subintervals of equal length for the…

A: Given that a right Riemann sum with n subintervals of equal length.

Q: If line t is parallel to the line 5x-6y+10=0, What is the slope of line t? O a. 5 Оb. 5/6 О с. 6/5 O…

A: Slope of parallel lines are same

Q: Use the formula k(t) = r(t) × r"(t)|| ||r(t)||° to find k(t). r(t) = 7 cos(8t)i+7 sin(8t)j + tk K(t)…

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Q: 2.If f(x) and g(x) are continuous functions, then f[f(æ) + g(x)] da = S (x) dx + f g(æ) da. %3D O A.…

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Q: Use the graphing utility to plot the graphs of y = cos (x) and y = 2x. (Enter multiple functions of…

A: We will graph the functions.

Q: Solve the following equation -1 cos 2.x + sin-1 X = 3

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Q: The inflection point of the function f(x) = x³ – x² + 5æ + 1 is: (금, 꽃) 70 3 (-3, – ) 70 (-;, ) 27…

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Q: dx 4. x²+4x+13

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Q: 2. Draw Venn diagram and shade the given a) AOB° b) (AUB)\B c) ((Cn4)\(B\A)°)nc

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Q: y =x, 4x + y =12

A: Let's find.

Q: Find the exact length of the curve. x = 2/3t3,  y = t2 − 2,  0 ≤ t ≤ 2

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Q: y = x° – 6x, y = x² у — х b. Find the area of the region enclosed by the two equations. Only include…

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Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: (2x³+9)dx (x²+3)(x²-2x+3)

A: This is a problem related to partial fraction of decomposition and integration. Based on the general…

Q: Consider the function 70 - 3 f(x) = 22 — 2х — 63 Find the vertical asymptotes of f(x). Separate…

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Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: This question is based on application of derivative.

Q: 1-coskx 2. lim kx = 0.

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Q: Let F= (2xy +z?,x?, 2xz) and let C be the circle r(t) = (2 cos t,6 cos t,3 sin t), for 0sts 2a.…

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Q: 3920 - Sp22 5.4 A person's investment is expected to produce a continuous stream of revenue R of…

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Q: 29,4 15.4 82.6 A graph of f is shown above. The numbers shown represent the geometric area of each…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Evaluate the following integrals: 3 tan°x dx 1.

A: We have to evaluate the integral ∫tan3x dx.

Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

Q: Find the dy/dx by implicit differentiation. 1. 4x2 – 9y2 = 1 2. x³ + y3 = 8xy 3. x? – 7xy + y2 = 0 |

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 The Product rule:…

Q: x = r° +1, y=r² -t a) Find dy/dx Show all your work.

A: x =f(t)dxdt=f'(t)   y=g(t)dydt=g'(t)Then,dydx=dydtdxdt =g'(t)f'(t)

Q: y 6 4 3 2 -4 4 5 -2 -1 -1- 12 3 Find the value of the indicated quantity if it exists. lim f(x) 1.…

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Q: How much will a person pay for 4.5 pounds of bananas at a price of $2.29 per pound? alars. The price…

A: I am attaching image so that you understand each and every step.

Q: Find the y-intercept of the line 2x+3y-6=0 as a point O a. None O b. (0,2) O c. (2,3) O d. (0,3)

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Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: x =r +1, y=r -t b) Find d'y dx2

A: x = t3+1differntiating w.r.t. variable t;dxdt=3t2+0dxdt=3t2   ....(1)y = t2-tdifferentiating w.r.t…

Q: Find the amplitude, period, and phase shift of y = 4 cos (2x). (Express numbers in exact form. Use…

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Q: Construct the following rational functions. a. Construct a rational function whose only asymptotes…

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Q: Write the system of equations that corresponds to the augmented matrix. Use xx, yy, and zz for the…

A: Refrence Example: System of equations into augmented matrix

Q: CSC* x dx cot² x

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: Find the arc length of the parametric curve. x = e', y = e, z = /2t; 0<t<7 L=

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Q: Y= 3xé

A: Given query is to find the derivative of the expression.

Q: Cases and Complements 1. A group of four animals will be selected for adoption from a group of 10…

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Q: Find the particular solution determined by the initial condition. ds 191? + 3t – 5; s(0) =75 dt The…

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Q: Select the answer option that corresponds with polar coordinates (3, –150\degree). 90° 2 W/12 134…

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Q: (³ +2w)® 6. Find dy/dx, given the following: y = /2x–4 3(3=° +2) (z"+2) O (E) None of the choices…

A: Formula ddxuv=vdudx-udvdxv2 ddx(xn)=nxn-1 ddx(x)=12x 6. Given y=(x3+2x)32x-4 Differentiating with…

Q: Consider the following curve. f(x) = Vx2 + 2x - x Determine the domain of the curve. (Enter your…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 11. Find the definite integral of S, 2 sinx 1+cos x dx : A. In (1+ cos x) В. 2 In 1 C. In 1 D. In 2

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Q: 1. Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the…

A: Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the ground.…

Q: Find fo° f(x) dx if S2 for x 2. f(x) =

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Q: 3. Find the extreme values of the function y = x3 – 2x + 4 and where they occur 2

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Q: 14.A girl walks 2 km due east from a fixed point O to A, and then 3 km due south from A to B. Find…

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