Use the graph of the function to find its domain and range. Write the domain and range in interval notation. Provide your answer below: domain: range: 7 6- 5- 4 2 1 VA -8-7-6 -5 M4 -3 -2-10 1 2/ 3 5 6 -1- -2- -8- -4+ -6- -7-

Q: Find the indicated derivative using implicit differentiation. e²t_st = 6; dt " ds

A: Topic- implicit differentiation we are given ,es2t-st=6we know that(uv)'=uv'+vu'(eu)'=euu'where u…

Q: Consider f(x)=5x-3-41/x^2 c) Find the equatino of the tangent line at x = 2 to the graph of y =…

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Q: Name: 1. Find the value of b for which the given equation is exact. Then solve it using that value…

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Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.

Q: The graph of f is given. State the numbers at which f is not differentiable. (Enter your answers as…

A: Note:  1. A function is not differentiable at discontinuity. 2.A function is not differentiable at…

Q: Use Gaussian elimination and Gauss Jordan method to solve the system of linear equation. x - 2y-6z =…

A: The given system of linear equations, x-2y-6z=122x+4y+12z=-17x-4y-12z=22 We have to find the…

Q: The energy cost of a speed of burst as a function of the body weight of a dolphin is given by…

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Q: Find the G.S. (6x+y2) dx + (2xy-3y2) dy =o

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Q: = f(x) to 3) Use the appropriate integral formula for the length of a curve represented by a…

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Q: (d) s

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {7,…

A: NOTE: Refresh your page if you can't see any equations. . U be the universal set of natural…

Q: 3) Use the appropriate integral formula for the length of a curve represented by a function y = f(x)…

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Q: An object moves with the acceleration vector ä(t) = with initial ity vector Po= and initial position…

A: Given acceleration of an object after time t is a→t=-2.i⏜+j^+3k^ Let the position vector of the…

Q: Find the solution of the IVP: (1 + y cos x) dx - sin x dy = 0, y(1/2) = 1. Then, evaluate y(1.603).

A: This question can be solved using the concept of linear differential equation.

Q: Find the following limits: 1 1 a. lim S+x 5 x-0 x b. x²+1 lim x-1- |x-1| C. -2x lim x++∞ √9x²-3

A: Topic = Limits

Q: . If x = t + cost, y = sint, find d²y dx²

A: we will find the required.

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: if x ≤ 2 Let f(x) = = if x > 2 If f(x) is a function which is continuous everywhere, then we must…

A: Given function, f(x)=4x-5if x≤2-3x+bif x>2 Here function is continuous everywhere ,

Q: 4. X x - 2 > x; in the form of intervals

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: (a) 3f(x) Derivative of given combination  3f'(x) at x=2 3f'(2) = 3*17=37

Q: 2. Match the figures below with the equations: (a) z = sin(x) sin(y) (b) x²-y+2²=0 (c) z = √6x² +…

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Q: Find the difference quotient (z+h)-f(z) for the function given below. f(x) 1²+1+2 Give a simplified…

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Q: 4. rdp-(p+√pr) dr=0

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Q: Find (f 1)' (a) f(x)=3x³+4x²+6×+5₁ a=5 f(x) = x³ +3 sinx + 2 cosx, q=2 f(x) = 3+x² + ton (₂),…

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Q: Area: In the following items, find the area bounded by the curve or lines. Sketch its graph. b. x =…

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of this…

A: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of this…

Q: -2 1 1 -1 -3 1 -2 are operations R2 = -2R1 + R2 and R3 = 3R1 + R3 used to convert the 2 and 3 in the…

A: We can find two row operations.

Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: 1. Graph the following function on the board: f(x)= 0 -∞<x<-1 1+x -1<x<0 1-x 0 0≤x<+1 +1<x<+∞o

A: Please see the below picture for detailed solution.

Q: Determine the Laplace transform of the function f(t) = t^2.  ( t squared

A: We have to find the Laplace transform of t2.

Q: Evaluate the integral: ³√✓/16 - 2²d. 3

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Q: Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it…

A: We have to tell true or false Answer (1)

Q: A. A. Find if x = 2t4 - 4t² and y = t4 - 4t. dx t²-t+1 2t(t+1) B. t² +t+1 2t(t+1) Find f'(t) if f(t)…

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Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: Determine the domain and range of x) = (x + 2)²

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Q: Show that xzxx+yzxy = y²Zyy if z = xy + yln(xy)

A: To prove the given result find zxx,zyy,zxy and substitute in the given equation.

Q: Please help me answer this question  Brenda is stumped when it comes to graphing polynomials.  She…

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Q: (x + 2y — 2) dx + (2x + y + 5) dy = ○ (x + 4)² − 2 (x + 4) (y − 3) + 4(y − 3)² = C O (x+4)² + 2(x +…

A: We have to find the solution of the given differential equation.

Q: 5. Determine the domain ONLY of g(x) = 4-x /4-x

A: The given function is g(x)=4-x4-x We have to find the domain of a the function . Domain of a…

Q: The loudness, L, in decibels(dB), is given by the formula L = 10. log loud in decibels is this sound…

A: Topic- functions We are given,Loudnes L, in decibels(dB) by the formula L=10·logII0where I is the…

Q: Which value of a is NOT in the domain of the function g(x) 7- 42 13x 30 ?

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Q: Find a formula for a function g(x,y,z)  whose level surfaces are planes parallel to the plane…

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: 2. Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 de)

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Q: x², and x = y³ (x) ≥ (0)| y = x

A: Given data:- The given equations are, y=x2x=y3 Where, x≥0

Q: Solve the following differential equation:    4y'' + 12y' + 9y = 0

A: we have to find the solution of given differential equation.

Q: Evaluate the area below X-axis and above the curve y = 24x2-45x. Round your answer to 3 decimal…

A: Given curve, y=24x2-45x

Q: Find the general solution of each of the following. J.. 1 1. in 2. y tan² x dx + In¹y dy = 0 000² v…

A: Please see the below picture for detailed solution.

Q: Use an appropriate table of values to find lim h->0 b^h-1/h where b = 48, accurate to four…

A: The given limit limh→0bh-1h We need to find the limit for b=48

Q: What is the general solution of the differential equation below when x > 0, y > 0.  dy/dx = -x2y2

A: A detailed solution is given below.