lim (3x - 5) x--1

Q: The graph shown is the 1st derivative of function where its domain is 20 10 8 2

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Q: Consider the function f(x) = 2x + 1. Find its derivative

A: The limit definition of derivative is: For a function f(x), the  derivative of f(x) is defined as:…

Q: 3dx 2. S (x+2)√x²+4x+3

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Q: S x²-x+1 x² + 2x + 2 2 -dx

A: We need to evaluate integral.

Q: Q3/ Evaluate four of the following integrals. ( x³+1 sinx cosx dx b. f*+¹ dx c a. S √1+cos2x x²

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Q: Question * If lim x-1 f(x)-f(1)-3, then lim A->0 x-1 ƒ(1+h)-f(1)_3. h

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Q: Scoth (2) dx

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Q: 2 Let f(x) = 5x4 -/+8√x-3. a) Find f'(x). (b) Find an equation for the tangent line to the graph of…

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Q: The equation of a hyperbola given below when reduced to standard form is 16y² -9x² +36x +96y - 36 =…

A: solution:-16y2-9x2+36x+96y-36=016y2+96y-9x2-36x-36=0  to make perfect…

Q: Which of the following is NOT true about the curve * y = x3 – 5x2 + 2x+8? (-1,0), (2,0) and (4,0)…

A: The given function is: y2=x3-5x2+2x+8y=±x3-5x2+2x+8 If a function is symmetric with respect to the…

Q: Consider the differential equation 2xy" - 3y + 3y +³/4 = 0 (1) It turns out that y₁ = r is a…

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Q: Which of the following statements is/are ALWAYS true for a function f and a real number c? A: If lim…

A: We can answer the question as below.

Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below

Q: Consider the matrices shown below: 1 27 D=-1 01 3 24 Compute tr(DET) 6 E = -1 4 13] 1 2 1 3

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Q: Find the transition points. y = 3x³ - 45x³ (Use symbolic notation and fractions where needed. Give…

A: We have to solve given Questions.

Q: Q3: Show that b. I — = ƒ‰e¯¹8(2t − 2). dt = ½-½ 2e C. L²u(t)dt = = [cosnt. 8(t − 2) + 38(t+1) +…

A: We have to prove the given statement.     According to our guidelines we can solve only three…

Q: 6 Use substitution to find the Taylor series at x = 0 of the function 1-9x 6 What is the general…

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Q: cos²x sinx dy + (y cos³x − 2)dx = 0

A: Given problem:- cos2(x) sin(x) dy+(ycos3(x) -2) dx=0

Q: Question 9 If the slope of the tangent line to the graph of y=f(x) at x-a is m(a)=2a+1, and f(1)=5,…

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Q: 5. √√64 .05

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Q: Find the derivatives of the given functions using the rules of differentiation. 1. Supposed that you…

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Q: 3. Let there be some a, b R such that f(a)ƒ'(a) = f(b)ƒ'(b) + 1. Show that f f(x) f"(x)dx ≤ 1.

A: This is a problem related to integration. Based on the general formula and concept we will prove the…

Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: 1. Evaluate the Riemann sum for (x) = x³ - 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the…

A: We need to solve using Reimann sum.

Q: Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y =…

A: Let's find definite integral of arc of length of given parabola y =4-x^2.

Q: Finding the rate of change of the function defined by y = x³ and evaluating it at x=9 units yields…

A: topic - rate of change of function

Q: S tan-1 е' 1+4t² 2t dt

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Q: Find equations of the line through the point (1, −1, 1) perpendicular to the line 3x = 2y = z and…

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Q: 2x y dA, D is the portion of the region between the circles of radius 2 and radius 5 centered at the…

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Q: Implicit Differentiation The process of finding the derivative of a dependent variable in an…

A: Given y3+4y2+3x2y+10=0To find dydx:

Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

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Q: ★ Each series converges. Show why, and compute the sum. k Σ[-88-(-3)*] k=2

A: p

Q: 1. A company manufactures and sells a televisions per month. If the cost and the revenue functions…

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Q: lim X- 12x²-x-1 1 8x²+2x 4

A: The given limit,         limx→-1412x2-x-18x2+2x

Q: 3) For parabolas, consider the following graphs E

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

Q: Use power series operations to find the Taylor series at x = 0 for the following function. 8x ex The…

A: Taylor series function y=8xex at x=0

Q: 7. Use a change of variables to evaluate X 1 ² ₂ 2 ²4+ 8 da. -dx. +8

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Q: The figure is the graph of the derivative, f', of a function f on [-4,4]. A Determine the intervals…

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Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

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Q: Evaluate the following integrals: 4x 6. ₁² x 3x²y²dy dx

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: t(0-28 m/s) (x) (400m) (x) Candidate Car model (x) 1994 Ford SVT Boss Mustang 10.0L Concept 1.9…

A: We need to find acceleration.

Q: A rocket is propelled vertically upward from a launching pad 150 metres away from an observation…

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Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: 4 √25-x² X 3 dx

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Q: Determine the intervals on which the function is concave up or down and find the value at which the…

A: To determine the intervals on which the function is concave up or down and to find the value at…

Q: Is it possible to Solve all the points with finding Domain and Range. 1) y sin x y = cos x y= tan x…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: If the currency-deposit ratio is 14% and the reserve ratio is 15%, what is the size of the money…

A: Money multiplier

Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

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Q: b) Find the cube roots of 27%. Leave your answer in polar form. c) Let z3 = 1+√√3i. Write z3 in…

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Q: dx sinh3x tanh3x S

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