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Q: Two automobiles leave a city at a same time and travel along straight highways that in differ in dir...

A: Topic:- trigonometry

Q: [Question 5] Obtain the first four terms of the McLaurin Series expansion of f(x) = (1+x)" where x€(...

A: We have to find the first four terms of the McLaurin Series expansion of f(x).

Q: a) Write the equation that models this line of best fit. 270,000 225,000 b) Given the context of thi...

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Q: Vx-2 lim х+4 х-4

A: To evaluate: limx→4x-2x-4

Q: For each of the following autonomous differential equations: (a) Find the critical points (b) Find t...

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Q: Absolute values 3) |x² – 10| < 6

A: We can find the answer as below

Q: 6. What is the slope of the tangent line to the inflection point of the curve y = x3 – 4x2 - 3x – 6?

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Expand (a −b)4

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Q: 2** +3" = 11 4. Solve the system: |2* – 3*+1 = -26

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Q: Find a dot product to show that a = (3,4) and b= (-6,-8) are 11. in opposite directions or in same d...

A: If dot product of two vector is negative then vector is in opposite directions

Q: lim (–1+x² – x³ + 3x*) X00

A: NOTE: Refresh your page if you can't see any equations. .

Q: Parabola, y = x? Find the fluid force on the vertical side of the tank, where the dimensions are giv...

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Q: Findequakions forthe fallawingliner Hawt - The line through (1, and parallel to 2- The line through ...

A: Note:- According to our company guideline . We are supposed to answer only one question. Kindly repo...

Q: Problem 1. Recall that a function f is continuous at a point a eR if the following holds: Ve >0 38 >...

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Q: Solve the IVP. y' 4y(4-y), y(0) = 3 y3=

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Q: In Exercises 71, and 72, fill in the blanks. ( Note: The notation x→ c* indicates that x approaches ...

A: We know that only tan x and cot x are positive when x lie in the 3rd quadrant.

Q: Find domain and range of the function y= f16

A: Function is like a machine which takes its desired input and give back its output.   Input is domain...

Q: Hiwi Find the distance from the peint (er)tathe -Plane -4X-+4+ 2=4.

A: Recall:  The distance between the point (x0,y0,z0) to the plane ax+by+cz+d=0 is ax0+by0+cz0+da2+b2+c...

Q: x 1] For what value of x will: 2 0 5-0? L6 7 1]

A: We need to have detxx1205671=0. So,               detxx1205671=0⇒-7x+14=0⇒x=2

Q: (3-5x) 2. (3- 1y(r – 1) d (3х - 1) (х —1)2

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved ...

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

Q: 28. Given V1+ 2x V1+ 4.xV1+ 6x... 11+ 100r y = V1+ 3xV1+ 5x V1+ 7x ... 1+ 101r find y' at x = 0.

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Q: Round your final answer to the nearest year. Research indicates that a country has 3.1 x 10" m of ar...

A: The country has 3.1×1010 m2 of arable land. In 1958 the population required 1010 m2 land In 1958 the...

Q: 20 15 10 5 -5 -10 -15 -20 -25 -30 -35 -5 -4 -3 -2 -1 1 4 X determine lim f(x) X- 1- and determine li...

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Q: se Lagrange multipliers to solve the given optimization problem. nd the maximum value of f(x, y) = x...

A: Use Lagrange multiplier

Q: Determine whether the differential equation is separable. y'=x*y+y cos (x) O Separable Not separable

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Q: An object moves with an acceleration vector: a(t) = - 3 Cos(t) i - 3 Sin(t) j + 2k If initially the...

A: Given,accelerating vector:  a(t)=-3costi-3sintj +3kStarting point: r(0)=(3,0,0)  initial velocity: v...

Q: Test the equation below for exactness. If exact, solve. If not, us integrating factor (find it by in...

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Q: If all of the level curves of a function f(x, y) are parallel lines, then the function must be linea...

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Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter DNE...

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Q: Find the value of m so that the function y = e2ma is a solution of the given differential equation: ...

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Q: Q3:The line L, whose equation is (= y-1 2 = -2 +z) intersects the line L2 that passes through the po...

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Q: 3edt -4 Write down an equation for the tangent line to the curve Y %3D at the point (2,0).

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: KEi R=| How, Find radius and intervat of convergence fallowing fower serier:

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Q: Consider the integral x2 dæ, (x² + a²)³/2 where a is a positive real number.

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Q: Find the center of curvature of the ff. curves at the pt. indicated: 1.) y=x+-x² at (0,0); 2.) y=x/(...

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Q: let f(x) = 2x^2+2x+3 and let q(h) = f(1+h) - f(1)/ h.    Then q(0.02) = ?

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Q: Determine whether the differential equation is separable. y'=xy+y cos (x) O Separable Not separable

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Q: If g(x) = 2 − x3, find g'(0) and use it to find an equation of the tangent line to the curve y = 2 −...

A: g(x)=2-x3differentiate w.r.t xg'(x)=-3x2Put x=0g'(0)=-3(0)2 g'(0)=0at x=0g(0)=2-02⇒y=2.equation of t...

Q: Find the equation of hyperbola by the given vertices at (0,1) and (0, −1); asymptotes are the lines ...

A: Given

Q: You invested $26,000 in two accounts paying 8% and 9% annual interest, respectively. If the total in...

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Q: Find d can'(x²cosbx) clx

A: To find:- Derivative of tan-1(x2 cos(x)) 

Q: Find limx→−∞(x2 −1)e4x. Show work.

A: We need to find : limx→-∞(x2-1)e4x

Q: 3 4 +- =2 x-1 у+2 Solve: 7 = -3 (x-1 у+2 6

A: Topic- algebric simplification

Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing uti...

A: We will evaluate the given integral as shown below

Q: Consider the differential equation: y"-8y+16y = 4e"/(t² + 1), t> 0. a. Find the general solution to ...

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Q: Given f(r, y, z) = x cos(y- z), find: (a) (c) (b) (d) drðydz

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Q: Determine whether the differential equation is separable. y' (8x+y) c Cos O Separable Not separable

A: Given query is to find that differential equation is separable or not.

Q: Howis Find Viand Vz if Vit 2Vz=31-k and 3Vi-Vz si+j+k

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