True or False? A system consisting of n linear equations in n variables has at most n solutions. True False Explain your response.

Q: if d1=4i-5j+3k and d2=-6i+4j-3k, then what is (d1+d2).(d1*3d2)

A: Given vectors:- d1=4i-5j+3k, d2=-6i+4j-3k

Q: Let F(x,y,z) = lyztan-¹(x)+2xziny + 3xye²zk The magnitude of Div v F at (3,2,1) is equal to:…

A: First I have written the rule for finding divergence of a vector field and then using it for the…

Q: Plot the phase portrait and classify the fixed point of the following linear systems. Put the system…

A: As per the instruction, we will be answering the first one. For (a), Phase plane of

Q: ii) If x = 3 is one of the turning points of the function f(x), what is the value of the unknown…

A: Topic = Application of Derivative

Q: -32x² 500 4) A rocket's height in feet is modeled by the equation g(x)= = horizontal distance the…

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Q: Explain the symmetry which the graph of y = x(x2 − 1) has.

A: To explain the symmetry for the graph of the function y=xx2-1.

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. x² + 2x…

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Q: (d) Find the work done by the force in moving an object from point (-2,4) to point (1, 1) along the…

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Q: Use Cramer's Rule to solve the following system for y only x + 2y + 2z = 1 3y + z = -1 x + 15y - 5z…

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Q: Find f(x) if y = f(x) satisfies dy dx = 4y and the y-intercept of the curve y = f(x) = f(x) is 13.

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Q: F(s) = 6s+17 s²+8s+17

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Q: What is the length of the curve y = 1- cos x from x = 0 to x = 4T ? A B C 11.314 15.281 18.850…

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Q: a) A soccer ball kicked up into the air is modelled by the following quadratic equation: y = 98t -…

A: given  y=98t-7t2where y shows feet above thr ground t is time in seconds

Q: Let r₁(t) = (-7, -3, −2) + t(0, −1, −1) and r₂(s) = (-1,1,5) + s(2, 0, 1). Find the point of…

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Q: For y = f(x)=x² - 6x + 3, find dy and Ay, given x=3 and Ax=0.2.

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Q: π Find the components of the vertical force F= (0, -6) in the directions parallel to and normal to…

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Q: 17. lim_f(x) = 0. lim f(x) = 1, lim f(x) = 3. x-1+ x 2 I-1 f(-1) = 2, f(2)=1

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Q: Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts…

A: Question - Suppose a circuit contains an electromotive force (a battery) that produces a voltage of…

Q: Match the equation with the surface it defines.​ Also, identify the surface by type​ (paraboloid,…

A: Standard equation of elliptic cone    Given equation :

Q: 4 Evaluate S (x²+y+z²) dv region E with where E is the solid x²y² +2² ≤ 4 and with yo.

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Q: a) Verify that the function y = x² + C = с x² is a solution of the differential equation xy' +2y =…

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Q: Four identical circles of radius r are inscribed (as shown) in a square of side x feet. (a) Express…

A: A detailed solution is given below.

Q: The function D(p) gives the number of items that will be demanded when the price is p. The…

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Q: Find the derivative of the function. f'(x) = - f(x) = In(x³ + 6) − 4ex/² —> - X

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Q: log, 64 mmma O 5 log3 2 In 64 In 9 Ⓒ (log, 8)² O 2 logg 32 log 64 9

A: let  A=log964properties of log is logxn=nlogxlogbna=1nlogba

Q: When a species of pigs is introduced onto an island, its population increases 15% each year. This…

A: This population t years after introduction is given byP=k(a )t where k and a are constants and t is…

Q: If f is continuous on the interval [5, 12] and f(5) = 7 and f(12) = -2, then f must have at least…

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Q: Evaluate the indefinite integral. 6x + 7 -dx x² +1 1

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Q: ng Determinant Method: 1. 2. 2x+y = 9 3x - y = 16

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Q: dr dt dV dt 1 4πr 2 1) In terms of a sphere, what does 4 represent? 2) Explain how the size of 47.²…

A: Given :drdt=dVdt14πr2

Q: A company's marginal revenue function is MR = 150 12x1/3, where x is the number of units. Find the…

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Q: Solve the initial value problem. 6(t+1)(dy/dt)-5y=5t. for t > -1 with y(0) = 15.

A: given  6(t+1)dydt-5y=5t  ,   y(0)=15divide by 6(t+1) both sidesdydt-5y6(t+1)=5t6(t+1)this is linear…

Q: 3 x x²8x+16 dx

A: Given :∫x3x2-8x+16dx

Q: A function is defined as f(x, y) = xy x² + y² -1, lim f(x,y). Determine (z,y)-(0,0) cos (xy), (x, y)…

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Q: Algebraic-Graphical-Numerical In Exercises 25-34, show that fand g are inverse functions (a)…

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Q: Give an equation for the sphere with diameter PQ, where P = (1, 1, −3) and Q = (1, 9, 1). (Express…

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Q: Using Determinant Method: 1. 2x=y=9 2. 3x+4y=-14

A: The given system of equations, 2x-y=93x+4y=-14 We have to find the solution using determinant…

Q: Solve for the following equations each with a specified method: Note: Both are didfferent equations,…

A: Given,            The system of equations are            x-y=3            3y=3x-9To find : Solve…

Q: Find the limit. lim sin(5x) X→0 4x

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Q: Use the functions: f(x) = = a) f(g(x)] = b) g[f(x)] = x³¹ g(x) = x+2 to find:

A: given  f(x)=7x3g(x)=x+2(i)  for  fg(x),  put  x=x+2 in  f(x)

Q: Consider the equation y=-2 cos 2x - The amplitude is = The period is p = The midline is y = The 5…

A: Consider the equation y=-2·cos2x-π2-12.Then to determine the following.The amplitude, period,…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min.…

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Q: The graph below is the function y = f(x) 2 ƒ(4) = lim_ƒ(x) = x→2 lim_ƒ(x) = x→3- lim f(x)= x→3+…

A: A detailed solution is given below.

Q: Question 2. Find the derivative of each function a) f(x) = (x² - 5)(x³ - 2x + 3) b) f(x) = (x + 7x²…

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Q: 4) f(x). = x²(x-2)(x + 2)

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Q: A theater manager graphed weekly profits as a function of the number of patrons and found that the…

A: Solution of given question is written in below steps.

Q: y = C₁ e²^ + C₂ e²^ + Cze=²

A: To make a differential equation after eliminating the arbitrary constants. y=c1e-x+c2e2x+c3e-3x

Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The…

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Q: Let f(x) lim x → 5- lim x → 5 + = lim x → 5 (4- x Use a graph to determine the following limits.…

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Q: a) A function is given below with unknown coefficients B and C: f(x) = x³ - 6x² + Bx + C i) Find the…

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