Which of the following ordered pairs satisfy the inequality 3x+2y= а. (0,0) .Ь. (5,1) с. (0,2.5) • d. (-5,0)

Q: 16x8 . 22) Find 22) x4 A) 8 x B) 4x4 C) V32 x2 D) 16 x3 23) f' (x) =(3 cot x - 2 csc x)'= [ By Linea...

A: In problem 22,we find out derivative of√(16x8/x4)

Q: Given f(x)=−2x^2+4x+13, find f′(−4) using the definition of a derivative.

A: f'(a) = limh→0 f(a+h)-f(a)h.

Q: Let F(x) = f(x') and G(r) = (f(x))". You also know that a 8, f(a) = 2, f'(a) = 13, f'(a') 10 Then F ...

A: Follow the procedure given below.

Q: #) =+2x9ー5×y +3, fnd: (a) Oz そe dy

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Q: (a) Estimate the area under the curve across the given domain with the "Trapezoidal Rule" using thre...

A: The integral to be evaluated using Trapezoidal rule is ∫x=-2x=+22x3+3x2-7x+3 dx. The trapezoidal rul...

Q: If possible, rewrite the equation in slope-intercept form, y = b+ mx, and give the values of b and o...

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Q: Find the Taylor polynomial T;(x) and compute the error |S(x) – T2(x)| for the given values of a and ...

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Q: A 15 ft ladder leans against building so that the angle betweem the ground and the ladder is 70°. Ho...

A: Given problem is a model of right triangle. Here, theta= 70° Hypotenuse=height of ladder= 15 ft Heig...

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

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Q: Convert the following number in the indicated base. 6701 to base 15

A: Divide the number repeatedly by 15 until the quotient becomes 0. When 6701 is divided by 15, the qu...

Q: cos4 cos* x

A: Follow the procedure given below.

Q: I. Find the limits of the ff by applying the limit theorems. 6. lim vx² + 5x + 2 1. lim 2021 x→12 x→...

A: 1. limx ~12 2021, function f(x) = 2021 is independent of x limit is 2021   2.  limx~7 4x - 3 putting...

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

A: Follow the procedure given below.

Q: Consider the following. if x <1 if x 21' f(x) = a = 1 (a) Find the left-hand and right-hand limits a...

A: Topic:- calculus

Q: The line : X - 3t, y = 1 - 2t, z = 2 - t is perpendicular to the plane: X - y - z = 1.[g]

A: Given that equation of line x=-3t ,y=1-2t ,z=2-t and equation of plane x-y-z=1To chaque the line and...

Q: Compute the surface area of revolution about the x-axis over the interval [0, 2] for y = 2x'. (Use s...

A: We know that; The expression for the area of the surface revolution of y=f(x) rotated about the x-ax...

Q: If f(x) = sin(x), find f'(x). Find f'(4).

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Q: 2- y = prove that (sin x) = cos x %3D dx

A: Topic:- derivatives

Q: Find the arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal place...

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Q: Find the following using the table below. 1 3 4 f(r) 1 4 3

A: Given that:                      

Q: show

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Q: T2 - I + 11 Given the function f(T) 5x7 + 3 lim f(1) appears to be I- + 00 O DNE lim f(T) appears to...

A: The given function is  f(x)=x2-x+115x7+3

Q: Two ships leave the same port at noon. Ship A sails north at 17 mph, and ship B sails east at 10 mph...

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Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear ...

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Q: Save your solution for this problem to answer the other problem connected to this. Consider the curv...

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Q: За3 — 4а +2 7а3+5 lim

A: To evaluate:limx→∞ 3x3-4x+27x3+5

Q: The cube root of 27 is 3. How much larger is the cube root of 27.8? Estimate using the Linear Approx...

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Q: If f(r) = 3 sec(8x), find f'(r)

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Q: For the function whose graph is given, state the value of each quantity, if it exists. If it does no...

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Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

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Q: In this question, we will use the notations A, B, and C to denote the angular measure of the interio...

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Q: tance between the camera and the shuttle (see figure). Write e as a function of s for the period of ...

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

Q: Given f(x)=−3x^2−x+15, find f′(−3) using the definition of a derivative

A: We have given a function f(x) First we find f'(x) by using the definition of derivatives.

Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,

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Q: a(t)=40t^3-10 Find the acceleration when the velocity is 0

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Q: Compute the surface area of revolution about the x-axis over the interval [0, r] for y = 3 sin(x). (...

A: We need to find surface area.

Q: Find the limit of the rational function (a) as x→∞ and (b) as x→ - oo. Write o or - ∞ where appropri...

A: We need to find limit of given function.

Q: Find the most general antiderivative of the function f(æ) = 3e* + 6 sec² x. Answer: F(x)

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Q: Evaluate the following integrals using “Integration by Substitution”.

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Q: Find the limit: 1+y² In lim (x,y)→(1,0) l22+xy/

A: Topic:- limits 

Q: exercise

A: Please refer to the image below 

Q: + 1)!. approaching the vertices of an equilateral triangle, each circle denominators? Use the patter...

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Q: Determine which one of the following defines y implicitly rather than explicitly. A) y = 3sinx B) y ...

A: To write the function which defines y implicitly. 

Q: Lesson 1 – Solving Trigonometric Equations with a Graphing Calculator 1. Determine the number of sol...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Some values for the function f(x, y) are given in the table below. x\y -3 -2 -1 1 3 7 6. 1 4 -4.1 2 ...

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Q: e equation of the tangent line to the curve y = . at the point (3,- ) ) is x+16y +11=0 x+8y - 7 = 0 ...

A: Topic:- calculus

Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

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