Find the values of x for which  f(x) = g(x).  (Enter your answers as a comma-separated list.) f(x) = x2 + 2x + 1,      g(x) = 5x + 19

Q: Given that f f(x) dx = 15, evaluate the following integrals: - (a) f f(r) dr (b) f³² f(x) dx (c) f,…

A: Concept: Integration: Every anti-derivative of f(x) on interval I is provided by ∫f(x) dx = F(x) +…

Q: 5. Let F(x, y) = ei + xej be defined on a smooth curve C given by the vector function r = ti + t²j…

A: The given vector field is : F(x,y)=eyi+xeyj  It is defined on a smooth curve C: r=t i+t 2j for 0≤t≤1

Q: Find each of the following functions and their domains. f(x) = x / 8+x g(x) = sin(4x)   d. g ∘ g

A: To find the function g∘g and the domain of this function.fx=x8+xgx=sin4x

Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

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Q: f(t) = u(t) eosst = u(t) = (2² jst + [u(t)e + ult) 25+ ] 2 F(W) = [TS(W-5)+ +TS(W+5)+ j(w-5)…

A: Topic:- application of algebra

Q: The complex number z is given by Z = z²+1 a²-b² 2z a² + b² a+bi a-bi show clearly that

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Q: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

A: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

Q: help

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Q: Convert -0.8 radians to degrees: (Round your answer to the thousandths place.) I

A: Topic- Conversion of radians to degrees

Q: Find y' in x² + y2 = 9. O O 9 -3 y X

A: To find the second order derivative.

Q: Show that div curl F = 0 assuming that F is continuous and has continuous partial derivatives of…

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Q: Use numerical evidence to estimate the value of the limit to at least 2 decimal places. x² + 2x - 48…

A: Solution:

Q: A fruit stand down in Oregon sells crispy red apples for $2.30 each and imported oranges from…

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Q: What is the equation of the tangent line to y=(−5x−8)e^−x at x=0? Write the equation of the tangent…

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Q: The table shows the position of a cyclist. t (seconds) s (meters) (1) [2, 3] (a) Find the average…

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Q: Question 25 On a circle of radius 9 feet, what angle would subtend an arc of length 5 feet? (Round…

A: Given; Radius=9 feet Arc length=5 feet

Q: Q1: A-Show if the series is convergent or divergent (2n)! n!n" n=1

A: This question is related to infinite series, we will solve it using given information.

Q: Find the unit vectors that are parallel to the tangent line to the parabola y = x² at the point (5,…

A: Given: y=x2 at the point (5,25)

Q: 7. What is the range of the function f(x) a. [-5, 5] b. [7, -4] c. [-8, 2] = 5sin(2x + n) - 2 ? d.…

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Q: (a) If A=[ay] is a 3x3 matrix; such that ay = i (4-²), find the values of diagonal elements and the…

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Q: Find the perimeteric equation and draw its geometry 1) x=5 2) x+y+z=10 such that x vector is in 3D…

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Q: (A) Find plane equation through points (2,4,5),(1,5,7) and (-1,6,8) and then find the area of the…

A: Given Coordinates of point = (2,4,5) , (1,5,7) ,(-1,6,8) We want to find equation of plane and area…

Q: Determine which statement BEST describes lim X→1 x²+2x+17 x²-1 The limit is does not exist because…

A: This question is based on the limit so we check it's right and left hand limit

Q: Solve the differential g(x) = equation. g'(x) = 6x², g(0) = -6

A: The differential equation is given by g'x = 6x2 The initial condition is, g0 = -6 To evaluate: The…

Q: Differential Equations Find the Particular Solution of (16x+5y)dx + (3x+y)dy = 0. If the curve to…

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Q: Evaluate: -2 3 1 3 4 5 10 1 - 24 1 1 05

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Q: -6 y = x³ - 15 x -A -2 (-4,-4) y 20 10 - 10 - 20 2 (4,4) 4 y = x 6 X

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Q: Find the equation of y, given the derivative and the indicated point on the curve. I y = dx = 2(x -…

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Q: By setting one variable constant, find a plane that intersects the graph of z = -6x² + y² - 9 in…

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Q: 4) Evalvate the integral E 4 1+x² dx

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Q: Determine the Exact Values of the following expressions 1. sin210 2. (cos30) (2sin60) 3.…

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Q: Calculate the average rate of change for the function f(t) = 2x³+5 over the interval -1 ≤ x ≤ 2.…

A: Given query is to find the rate of change of function.

Q: Find all values c such that lim x-2 2c²x 5c +1 x²-3x + 2 - exists. (a real number)

A: We say a limit exists if right hand limit and left hand limits are same. We have…

Q: The graph of y = f(x) is given below (in blue), along with several related graphs (which are in…

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Q: Find the volume of a solid bounded by the paraboloid z² + y² = 4x and the plane x = 5

A: Given Data: Equation of Paraboloid: z2+y2=4x  ........... (1) Plane x=5

Q: 5. What is the horizontal phase shift of the function f(x) a. b. TT 4 C. d. π = 3sin(x + 1)?

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Q: 10. What is the amplitude of the function f(x) a. 12 b. 5 c. 4√10 = 3(sinx) + (4cosx)? d. 3√10

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Q: 44° x= 90 NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to 3…

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Q: G(G(x)) = 1/((1/x-10)-10) what is the domain of G(G(x))?

A: Given: GGx=1x-10-10

Q: 10 8 6 4 S •

A: Limit of a function at a point exists if left hand limit and right hand limit at that point are…

Q: 9. What is the period of the function f(x) a. 4π 5 b. 2 C. 2₁ = 2 (sin x)? d. 5π 2

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Q: Find the limits. f(x) = 2x²-3x + 15, g(x)=√√x + 3 3

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Q: State the derivative. Do not simplify. f(x)=sin(x) + cos(x)

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Q: 1. Two small boats are 24m apart. The angle of elevation of the boats to the top of a lighthouse are…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 2/1, 5/2,…

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Q: Prove the identity. sin²x 1-cos.x +1+cos.x Note that each Statement must be based on a Rule chosen…

A: To prove:- sin2x1-cosx=1+cosx

Q: 7. Rationalize the expression. √x² + 1 -√√x

A: Rationalize expression

Q: The point P(1, 1/9) lies on the curve y = x/(8 + x). If Q is the point (x, x/(8 + x)), use a…

A: Solution:

Q: estion: 17. A thermometer reading 70° F is placed in an oven preheated to a constant temperature.…

A: Topic:- application of integration

Q: 7. Use algebra to determine whether each function is even, odd or neither. a. f(x) =xcosx+1 b. f(x)…

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