X-2=4sece, solve √√(x S √(x-2)² - 16 X-2 dx.

Q: Find the derivative of the function using the limit process. f(x) = √x + 7 f'(x) = = || lim Ax→ 0…

A: The objective of this question is to find the derivative of the function f(x) = sqrt(x) + 7 using…

Q: The tables below show some inputs and outputs of functions f and g. -8 -5 −1 f(x) 16 10 2 x x g(x)…

A: The given tables are for functions f(x) and…

Q: Four consecutive integers have a product of 360. Find the integers by writing a polynomial equation…

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Q: L-1 s+1 s² +2

A: To find

Q: Consider the following plane curve. 31 Find the unit tangent vector. T(t) = Find the unit normal…

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Q: 28. Make a "quick sketch" of the polynomial function. P(x)= x²(x-4) -

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Q: If ☎′ (t) if r(t) = (t³,t² — 1). 37 +2+7 j ○ ○ 3t² 7² +23 i j 3+²7 +2t7 j 7+267

A: Solution is following in explanation step.

Q: The functions f and g are integrable and f(x)dx= -4, afroa I a. (Simplify your answer.) b. g(x)dx=…

A: The functions   and are integrable and Note: Since the student has posted many sub-parts of the…

Q: Find positive numbers x and y satisfying the equation xy = 12 such that the sum 2x+y is as small as…

A: To find the positive numbers  satisfying the equation  such that the sum  is as small as possible.

Q: Ex 3. Let f(x) = √x+1 and g(x)=x²-3x - 2. Find the following. i) The difference quotient of f(x).…

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Q: For each increase of 1 unit in magnitude of an earthquake, there is a ten-fold increase in the…

A: For each increase of 1 unit in the magnitude of earthquake, there is a ten-fold increase in the…

Q: An object is dropped straight down from a helicopter. The object falls faster and faster but its…

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Q: The solution of integral equation u(x)=e** + ſ*e*¹¹u(t)dt is (A) u(x)=e* (B) u (x)=e (C) u (x)=e***…

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Q: Find the absolute minimum and absolute maximum of the closed triangular region with vertices (0, 0),…

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Q: 25. The volume of a sphere is decreasing at a constant rate of 5405 cubic feet per second. At the…

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Q: f(x)=2x²-18x5 + 16x4 - 144x² U End behavior 2 Max number of zeros 3 Factor

A: Given: To Find: (1) To determine the end behavior.(2) To determine the maximum number of zeros.(3)…

Q: Find dy dx² if x = e³t and 4(In 6)² (62t+1) 9e³3t (6 ln 6) (6²t+¹) (2 ln 6–3) 2t+1 e6t (6 ln 6)…

A: To find if .

Q: iii) h(x) X3 v) g(x) = 5 - X iv) f(x) = 3x³ - 2r 2x x² + 4

A:

Q: A rhombus is formed by the points A(2, 4, -1), B(7, 3, -8), C(6, 10, -13), and D(1, 11, -6).…

A: A rhombus is formed by the points .To determine the area of the rhombus.

Q: To carry a suitcase on an airplane, the width + length of the box must be less than or equal to 62…

A: Given that the base of the box is square Let the length of box  inches Let width of box  inchesLet…

Q: A et ex - 3x2 2 글 2 dx 3 B. Plex - 1x3 + C Clex - 3x + C D 이글-x+c x + C

A:

Q: Consider the space curve represented by the intersection of the surfaces. Represent the curve by a…

A: Consider the space represented by the intersection of the surfaces. To represent the curve by a…

Q: Consider vectors u and v. Find the following. (a) u v (b) u.u u = (-3, 0, 3), v = (-1, 6, 1) (c)…

A: The given vectors are

Q: Find the x and y-intercepts of y = 2x - √x² +1.

A: We have to find the x and y-intercept of

Q: Consider a= [5, 1, -2]. Let a be the angle that a makes with the positive x-axis, & be the angle…

A: Given that Let  be the angle that  makes with the positive x-axis. Let  be the angle that  makes…

Q: iii) 2 sin² 0+3 cos 0 - 3=0. iv) cot 6 cos²0 3 cot 0.

A:

Q: Q1) Estimate the area under the graph of f(x) = x² + 1 from x=1 to x=3 using four approximating…

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Q: 4. Is P(-2) a root of P(x) = x³ - 2x² - 5x + 6? Explain why or why not. (SHOW ALL WORK)

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x=5=y+¹ 1 P(x, y,…

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Q: Determine Features of a Rational Graph

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Q: Scenario: One real life applications of the piece-wise function is when buying merchandise in bulk.…

A: This is a different question and not related to original question.A seller offers different price…

Q: The pH scale measures the acidity or the alkalinity of a solution. A difference of one unit of pH…

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Q: Find the indefinite integral xe2x X B. -dx ^x-=-x²e² 1 XN 2 --x²e²x 1 2 inix-e²x+c 19 +C Dinlxl-e²x

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Q: Find the total area of the shaded region shown to the right given by the curve y=2( sin x)/1+ cosx.…

A: Given: The shaded region given by the curve isTo determine: The area of the shaded region.

Q: 9.) S -1 3x²+2x +0 x + 2 da

A: I=∫−11(3x2+2x+1x+2)dx

Q: Find the volume of the solid that is generated when the region enclosed by the given curves is…

A: To find the volume of the solid that is generated when the region enclosed by the given curves is…

Q: 54. Sketch the region in the xy-plane defined by the inequalities x - 2y²0, 1- x - y| ≥ 0 and find…

A: Given that the region bounded by the inequalities

Q: A cup of coffee cools according to Newton's law of cooling (3) in Section 1.3. dTxT-Tm or at =…

A: The objective of this question is to estimate the constants Tm, To, and k in the model of Newton's…

Q: If you invest $500 at 6% compounded annually, how many years (to the nearest tenth) would it take…

A: Solution-“Since you have posted multiple questions, we will provide the solution only to the first…

Q: 1. Evaluate the integrals in the following exercises using integration by parts. a) fxsin dx b)…

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Q: What is the equation to calculate to determine how long it would take an investment of $10,000 to…

A: The objective of this question is to determine the time it would take for an investment of $10,000…

Q: 1. Sketch the graph of a single relation, f, that has ALL of the following characteristics: lim f =…

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Q: For the following exercises, use the vertical line test to determine which graphs show relations…

A: Vertical line test:-If a vertical line on graph intersects only one time then the relation is…

Q: The rate of depreciation of a building is given by D'(t) = 4000(20 − t) dollars per year, 0 ≤ t ≤…

A: The objective of this question is to find the total depreciation of the building over the first 10…

Q: Find r(t) u(t). r(t). u(t) r(t) = (4 cos(t), 9 sin(t), t – 4), u(t) = (18 sin(t), −8 cos(t), t²) Is…

A: The objective of this question is to find the dot product of two vector-valued functions r(t) and…

Q: Evaluate the following double integral [[ TV xy dy dx

A: The given inequality

Q: Q2) Find the derivatives of: sin x dx 31² dt b) by differentiating the integral directly.

A: To find the derivative by differentiating the integral directly.

Q: Let W (s, t) = F(u(s, t), v(s, t)) where W, (1,0) = W₁(1,0) = u(1,0) = -8, u,(1,0) = 2, u,(1,0) = 2…

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Q: By the definition of the devi Vative to find y', if 2 y=x²-sinx

A: Here we will use the definition of the derivative to find the derivative of the given function

Q: Use partial fractions to find the integral of : 2x3/x3-1

A: The given integral