Find all horizontal and vertical asymptotes of y = ln(4 − x) and show your proff:

Q: Find the area of the shaded region. f(x)=x+2 g(x)=x²-2 y -8-7-6-5-4-3-2 8765432 ACT -8 ¶|||| +++…

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Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

A: Given a radioactive substance decays exponentially.initial radioactive was 130 milligrams.After 23…

Q: 3. Suppose a stone is thrown vertically upward from a height of 96 ft above the ground in a vacuum…

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Q: Set up and solve a first order IVP to solve the mixture problem. A tank is filled with 100 gallons…

A: The tank is filled with 100 gallons of brine solution - The volume of tank is 100 gallonsThe initial…

Q: Based on the definition of Fundamental Theorem of Calculus, what instances in your definite life…

A: The aim of the problem is to write the instances in one's definite life that can narrate the…

Q: 2. In Test 1, we have used the following theorem without a proof. Write up a proof for it. The…

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Q: Evaluate the definite integral. Hint: Let u = x + 1. 8 [° 7x √x+1dx

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Q: 5. Use the limit definition of derivatives to compute f'(x), where f(x) ax²+bx+c. Assume that a, b,…

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Q: 8. Consider the vectors u, v and w. If 2ũ = [2, -2, -6], ỷ = [-1, 1, 2], and w = [-1, 1, -1] find…

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Q: Complete the following problems applying the Intermediate Value Theorem, when applicable. Complete…

A: (1) By applying the IVT to determine whether  has a solution in one of the intervals .(2) For . To…

Q: or the function, find the points on the graph at which the tangent line is horizontal. y=x²-5 Select…

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Q: If z = x² - xy + 5y2 and (x, y) changes from (2, -1) to (2.04, -0.95), compare the values of Az and…

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Q: Construct a truth table and determine whether the given compound proposition is a tautology,…

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Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

A: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

Q: Find the quadratic function y = f(x) whose graph has a vertex (-5,3) and passes through the point…

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Q: Find the indicated derivative. dx dy dx = for y = x14

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Q: Solve the LP problem, If no optimal solution exists, indicate whether the feasible region is empty…

A: To solve the following LP problem..Maximize  subject to

Q: f(x) = √√√x + 2; a = 7

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Q: If ƒ(x) = 2x² − 4x + 6, find ƒ'(−2). −12x - 2 incomplete. X syntax Use this to find the equation of…

A: Rule of derivative.

Q: Scittan tản x)(sinx) dx

A: The given integral is; 1/[(1+tan2x) (sinx-1) ].

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A: Consider the set S

Q: Values of x and g(x) are given in the table below. 3.5 4 4.5 5 5.5 6 6.5 7 g(x) 4.2 5.2 5.8 6.2 6.8…

A: g'(x)=

Q: k Your Understanding: Let f (x) = (12x³ + 2)(x5 − 2x²), compute the derivative of f(x) the product…

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Q: 1. Evaluate lim 818 x5 +999x4 + 453x² 3x5 + 13 Indicate the limit laws you use.

A: We have to find the limit value of the given question no.1.We divide numerator and denominator by…

Q: Evaluate the following limit. lim (ln(t) + In(6t + 5) — ln(6t² – 5t+3)) t→∞0 Number

A: Given data

Q: |x = 1+ t 5. Determine the distance between the point (4, 3, 2) and the plane y = 2 + s z = 3+s+t a.…

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Q: Decide from the graph whether a limit exists. If a limit exists, find its value. lim F(X) X→-4 www…

A: Here we will find the limit from the graph using the concept of left hand and right hand limit

Q: Find 7' (t), given r(t) = (cos(—2t), sin(−t), −2e¹¹). r' (t) =

A: we have to find the derivative.

Q: 4. The given limit represents the derivative of some function f evaluated at some number a. That is,…

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Q: Find the integral. Stan'xsec¹x dx

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Q: if x # 1,0, -4 if x = 0 if x = 1 if x = -4 (a) Classify all the discontinuity of the function f(x)…

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

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Q: Suppose that f(x) = 1+5x. Consider the partition P of the interval [-2, 1] by means of the set of…

A: Given that :Equation of the function Interval is Set of partitions are To find : Reimann sumConcept…

Q: match the answers to the right trigonometric function

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Q: Assume log x=0.31, log by=0.57, and log z=0.85. Evaluate. √xy log b z

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Q: Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian…

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Q: 2. Evaluate lim x48 -7x3 + 8x2 + 21x + 23 x4+1 - x4+1 xx-7x³ + 8x2 + 21x + 231 and lim

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Q: Evaluate the following limits at infinity. 2³-42² 2x³+1 a) lim 100 b) lim 8118 3-41² 2z³+1

A: We need to evaluate the following limits:We can evaluate this as follows:

Q: Find an equation of a plane containing the line r = (3, -4,-5)+t(-4,-4, 2) which is parallel to the…

A: We have to find the equation of the plane containing line r and parallel to the plane 2 x-y+ 2 z=-5.

Q: A lamina with constant density g(x, y) = 4 occupies the region under the curve y = sin(лx/3) from x…

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Q: Find the area of the shaded region. AY 2+ L -3 + + 2 3 square units y=x-2 34 y=√x ✈X

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Q: Why is it that (k+1)^4 became (k+1)^3

A: Solution-

Q: Find '(t), given r(t) = (-4e-²t, 4t² + 3, 3 sin(−3t)). r' (t) =

A: Given vector is as follows

Q: Evaluate the following limits. x lim x 5 x 5 lim x+5+x-5 I x lim x 5 x 5 P HOT

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Q: If f(x) 8x²√x+ (Answer must be entered without negative exponents.) ƒ'(x) = - 6 = x² √x' then

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Q: Solve the proportion: 2.6: 5.5 : 10 = 13:x:y x = 50 and y = 27.5 Ox=27.5 and y = 50 Ox= 11 and y =…

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Q: 8. u = i- j + k, v=i+j+ 2k

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Q: |u| = 7, |v|= 3 and u⚫v = 4. Find |2u + vl. Find lu - 3vl. Find λER such that (u - λv) Lv.

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Q: 2. Find the bounded area between the curves. Draw the region. y = x²(1-x)(2+x) y=x²+2x³x² - 2x

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Q: x³ dx-y³ dy= 3xy (ydx - xdy)

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