Find the x-value at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither. 5+x² 7-x (x-7)² f(x) = if x ≤0 if 0 < x≤7 if x > 7 continuous from the right continuous from the left neither Sketch the graph of f.

Q: Solve the given differential equation. All solutions should be found. 3x² - 3y - y³ 3x + 3xy² dy dx…

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Q: If f(x) dx = 3 and 5 f¹ f(x) dx = 25, then f f(x) dx = A)-2 B)1 C)-1 E) 8 D) 2

A: Given: ∫3-1f(x)dx=3 and 5∫31f(x)dx=25To Find: ∫-11f(x)dx

Q: Determine the area, in square units, of the region bounded on the right by the line g(x) = -3x+27,…

A: Given thatgx=-3x+27fx =-x-52+16To find: Area bounded by the region with respect to y.Note: right to…

Q: Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9)…

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Q: Question Find the area, in square units, of the region bounded on the left by the line g(x) = 2x +…

A: We need to find Area.

Q: For question 2a, does it still work out if I put the x's to the left and y's to the right instead?…

A: Integration.

Q: Q4. Choose two of the following: (a). If x = t - t² and y = t-t³. Find 2 by using Chain Rule. dx²…

A: a) x=t-t2 and y=t-t3 b) fx=1+x at x=3 c) fx=2a+x2,x≥12x+b,x&lt;1 is continuous at x=1and f-1=5 Use…

Q: Differentiate the following expressions and saveit under the given variables. 1. ур1 2. yp2 = 3. yp3…

A: Given data:- (1); yp1=x26-xx+2(2); yp2=ddxx24-x4+x(3); yp3=ddxx2-12x2-6x-1

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Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² (a) lim (2,3)+(0,0) 24+4 (b)…

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Q: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check…

A: Topic = Functions Correct option = neither

Q: 3. Find y' for y= cos(sin² x) 4. If x=y√/1-y², find y dx

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Q: Use the properties of logarithms, given that In(2) = 0.6931 and In(5) 1.6094, to approximate the…

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Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

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Q: Solve for A. 3 REHB 8 “1881-

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Q: B- Use power series to evaluate the integral sin.x X -dx

A: We want to find integral of sinx/x using power series.

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A: Graph of a curve is given, we have to find its domain and range

Q: Needed

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Q: Find the set on which the curve is concave upward. Answer (in interval notation): 2 y = ₁² R² + ² +…

A: See the details solution in below

Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: Ans=(d) 0.57 For detail go through the solution I have solved step by step in detail

Q: For each of the following functions, find the derivative (dy/dx) with respect to x: 7. y = cos x 9.…

A: The given functions 7. y=cos x8. y=ex9. y=ln x we have to find the derivative of this functions.

Q: 1. Determine (i) the order of each differential equation and (ii) whether they are linear or…

A: To determine the order and type of given differential equations.

Q: 1. Determine the domain and range of the following functions: (Note that each square is 1 square…

A: To find the domain and range of the functions in the given graphs.

Q: 15. f(x)=2x²(x+3) (x-2) a. b. C f(x)= 16.

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Q: Question Find the area bounded by y + y³ = x and y = . Submit your answer in fractional form.…

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Q: Can you go into more detail? Why is the answer (4n+1)pi/2?

A: We want to find domain of the function.

Q: Graph the system of linear equations. 0.04x -0.03y = 0.05 0.05x + 0.02y = 0.12 -10 -10 -5 -3 -10 y…

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Q: Given: f(x)+ 3x2+1, Evaluate the difference quotient for f(x+h)-f(x)/h; h≠0

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Q: Find the determinant of the matrix.

A: Concept: Determinant: A square matrix's components can be used to calculate the determinant, a…

Q: - 3 f(x)= x-2 2 if x 4 (a) Choose the correct graph below. ITPT▬▬ O Te C T ▬▬▬▬▬▬▬ Q O CHH do #fo 2…

A: Topic:- function

Q: Find the domain of the function. (Enter your answer using interval notation

A: Since Domain is asked by student, I am solving for only domain.

Q: Hi, I realized I asked this question previously but I got a different answer (0, 18 Pi). Which…

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Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

Q: B. Evaluate the limits of the following: 1. lim x-2 lx-2 6 x²+2x-8

A: Concept: Limits: The values that a function approaches for the specified input values are known as…

Q: Consider the matrix equation Ax-0 for the following. + --•-8 A- -1 Find the reduced row-echelon…

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Q: Refer to the function f shown to the right. Use the graph to estimate the indicated function values…

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Q: The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) =…

A: The speed of the hare is : H(t)=cos(t) The speed of the tortoise is : T(t)=12t

Q: Question The tortoise versus the hare: The speed of the hare is given by the function H(t) = sin(t)…

A: We need to find area.

Q: Find the set on which the curve is concave upward. Answer (in interval notation): | 2 y = ₁² 1²+ 3²…

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Q: In exercises 1-28, evaluate the indicated limit, if it exists. Assume sin x that lim 20. lim 240 sin

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Q: please find the area of a triangle,given the points A, B, and C Plot the points A= (0,2,6), B=…

A: Topic = Vector

Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: Express the following functions in the form U+iv f(Z) = ln (1+z) ●

A: The given function is fz=ln1+z.We need to write it in the form u+iv.

Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

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Q: If f(x)=x²+ax+b and the slope of tangent at x= -1 is 4 and the curve passes the point (2,4) Find…

A: I have stated the used formula in the solution

Q: 2) GIVEN: | , , در

A: Let's find length and angle.

Q: 393. lim x → xl/x 0+

A: