Find the value of x that will make < 5, 3, 4 > perpendicular to < x, 3, 2x > . Give at least two decimal places when applicable.

Q: The base of a three-dimensional figure is bound by the line y = 2x + 3 on the interval [1, 3].…

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Q: Find the sum of an infinite geometric sequence in which a1=550 and r =3/8

A: We know that the sum formula of the geometric series is a/(1-r)

Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…

A: The given initial value problem is:

Q: Draw a sketch of the graph of f(x) = 2√x + 1 − 1. Explain the trans- formations of the graph of…

A: Explaination of the answer is as follows

Q: 2- Chang the order of integration and evaluate √2-x2 X √x2 + y²

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Q: Which of the following functions have at least one asymptote? ¡)f(x)=-x f(x): ii) ²/ x ›-() f(x)=…

A: and The line x=L" data-mce-style="box-sizing: border-box; margin: 0px; padding: 0px; font-style:…

Q: Find the area enclosed by The Curve r= 3 cos 26 • loop of One

A: Given the curve is:r=3cos(2θ)We need to find the area enclosed by one loop of given curve.

Q: (a) Find the center and radius of the sphere defined by x² + y² +2²-8x + 2y + 8 = 0. (b) Find the…

A: A sphere is object that is 3-D analogue to a 2-D circle. If its center at the point (a, b, c) and…

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If doesn't…

A: This is question of calculusHere graph of function is given we have to find limit of given function…

Q: Given that 5 -3 5 1 -1 M = 0 ONM = ONM = ONM and N = - 19 20 -17 0 [41] 4 -1 1 [20 [198] 20 -18 119…

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Q: (cos x - xsinx)ydy + (x cos x - 2y) dy = 0

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Q: Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as…

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Q: 2 cos z = 2 cos² (-)- Prove that sin z tan +2 cos z

A: Prove that : sinx tan(x/2) + 2cosx = 2cos2(x/2).

Q: a. f(x) = x²-x-2 x+1

A: Given function is,"As per the rules, we are supposed to answer the first question, and the rest…

Q: Given f(x) = |x+6| Find: lim X-5- f(x)

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Q: y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤ π

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Q: Find the linearization of the function ƒ (x) = = L(x) ab B (-2)x-3 X -1.1 86 -1.01 a -1.001 √a |a|…

A: The given function

Q: Calculate the iterated integral. [1³ In(y) dy dx xy

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Q: Evaluate the integral: I√16 + x² da (A) Which trig substitution is correct for this integral? z = 4…

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Q: Find the sum of the infinite geometric sequence. n 4 i=1 5n-1 Σ If the answer is not an integer,…

A: To find the sum of the following infinite geometric sequence.

Q: Given that u = 4 and v1 = 3. And the angle between them is 40 degrees, Find vector u – 27. Make sure…

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k5/4…

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Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is…

A: The radius of each helix is about 10 angstroms(1 Å = 10–8 cm)Each helix rises about 34 Å during each…

Q: A region bounded by f(x) = x, y = 1, and x = 4 is shown below. Find the volume of the solid formed…

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Q: Evaluate f(3) for the function f(x) = -ex: 3 O -10.048 O 20.086 O -20.086 O 10.048

A: We are givenWe have to find

Q: (4) Find the derivative: - -In dx |1–cosx sin x

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Q: (b) x² + y² = 9, z = 4

A: Here we have to describe about the equation. Please select text to grab.

Q: 3. Evaluate fxd4, where D is the region bounded above by the line y = x and below by the circle D x²…

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Q: Find T, N, and x for the space curve r(t)=i+j₁t> 0

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Q: Solve the given system of equations. Sy=11x + 20 y=-2+11x O (1,-1) no solution O (1,1) O (2, 2)

A: When, (Ratio of coefficient of x )=( ratio of coefficient of y)≠(ratio of constant terms)then,…

Q: A volume is described as follows: 1. the base is the region bounded by x = −y² + 12y — 17 and x = y²…

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Q: ii. Consider the following differential equation: d²x dx dt² +5+8x = f(x) where f(x) is the input…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DN x² + y² 0 lim (x, y) → (0, 0) X…

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Q: State the domain for the function f(x) = log₁(x - 5) + 4: O (5,00) O (-00, 5) O (-00,00) (0,00)

A: We have to state the domain for the function

Q: Evaluate the double integral. y 162²2², 04. + dA, D = {(x, y) | 0≤x≤ 7,0 ≤ y ≤ √√x}

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle 8.…

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Q: Down hill 109 cm / 4.42 sec = 24.66 cm/sec 63 cm/2.54 sec = 24.80 cm/sec

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Q: (2) True or False: a) Local extrema can only occur at critical numbers.__ b) Everywhere there is an…

A: As per bartleby guidelines only one question is allowed to solve with maximum 3 sub parts , so here…

Q: Verify that Rolle's Theorem can be applied to the function ƒ (x) = x³ – 11x² + 38x − 40 on the…

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Q: Show that 2y" - y - y = 0 when y=e* + e.

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Q: This extreme value problem has a solution with both a maximum value and a minimum

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Q: formula

A: Solving the problem

Q: Find the area between the graph of x = 2y + 3 and the y-axis on the interval [0, 2]. 4 3 2 1 -2 -1₁⁰…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Eric spent a total of $50.75 at the school bookstore. He bought a calculator for $29.75 and some…

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Q: 6. Given D(4, 0, 9), E(3, 7, -8), and F(-2, -5, 5), determine a) DF b) DE+EF (exact value)

A: Here we have given coordinates of points .Note 1:The coordinates of the two points in order to write…

Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

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Q: Classify the ser The series is extbook k=1 solutely cogent, conditionally convergent, or dive Use…

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Q: Question 1 Let 0 = cos¯¹(-³) where 0 ≤ ≤. Find the exact value of 0.

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 1)k+18 k! k=1…

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