Given f(x) = 19x - 3| +2 25. f'(²-) = If f(x)=(√3x-2)5 then f'(9) = Given f(x) = sin(3x)² 26. f'() =

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for an to…

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Q: 6) To evaluate the integral a) x = √12sece b) x = 12sine f (x²-12)² dx, we may use the trigonometric…

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Q: sin² 4y dy

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Q: Enter the equation of the parabola graphed below, using the vertex form y = a (x-h)² + k -5 -4 -3 -1

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Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: 4) Evaluate 2 √x√x² +1 dx

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Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…

Q: (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

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Q: 2. What is the slope of the tangent to f(x)=√√x-1 at (5,2)? Show your work. a. 1 C. 2 4 b. 1 2 d. 4

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Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: Find the area of the surface generated when y = 2√x from 1 ≤ x ≤ 4 is rotated around the x-axis.

A: We are required to find the area of the surface generated when y=2x is rotated around the x axis…

Q: $5,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be earned?…

A: Given query is to find the interest earned.

Q: Find the open interval(s) on which f(x) = -5x² + 50x+8 is increasing or decreasing. O increasing on…

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Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

Q: 6- The first term of a geometric sequence is 24 and the third term is 6, find the fourth term and an…

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Q: (th) h B) none existent 2) lem Cos ho A) | TheR c) 0 D)(-1) E) None

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Q: 6. Given that (a) sin csc x=3, 90° <x<180° find X 3+2√2 6 ×IN Answer: sin- 2

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Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

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Q: Find the particular solution of the D.E. y "+ 3y + 2y = 4e° = 4e* ON =e* 2 Oy₁ = / = Ae* + B

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Q: 14) у = так? (*); а = ? А) Ч 47X2 х2+4 B) - L 2\4-x³² c) 2 D) L 2+X

A: according to guide line we do only first part .please re post other parts in next question (14)…

Q: Find F'(x) given F(x) = f ³² z S³ z³ dz. <-3x ○ F¹(x)= 54x³ ○ F'(x)=0 ○ F'(x)=81x³ ○ F'(x) = 162x³

A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

Q: 11. a =(3, 1); b =(− 6, − 2). Evaluate 2 12. a =(3, 1); b =(-6, -2). 3(a - b) Evaluate 3 a-b

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Q: List the first five terms of the sequence. an = cos(npi)

A: Given query is to find first 5 terms.

Q: Find angle A to the nearest degree. 37° 30° 39° 42° 32 37 25 B

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Q: Find the area enclosed by the curve x = x = t² - 2t, y = √t and the y-axis.

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Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: Differentiate the function. F(t) = tº + e⁹ F'(t) =

A: Here is the solution:

Q: 1) The derivative of y = esec-12x, x > 0 is: a) 2e³ec-¹2x x√4x²-1 esec-12x b) x√4x²-1 C) x√16x²-1 d)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 12. Find f x √(1-x²)³ dx

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Q: 5) Find the divergence of (√x² + + z ²) kî + yî + zk)

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Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

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Q: Find the Laplace transform of f(t)=sin(2t) + cos (21)

A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the…

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Q: 1. It is a function f(t) for t> 0 is defined by the following integral over 0 to ∞. c. Piecewise…

A: Please see the below picture for detailed solution.

Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

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Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

Q: Find the derivative of: 7 sin² ( – 2xº).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Work of 1 Joules is done in stretching a spring from its natural length to 11 cm beyond its natural…

A: Given: Work done, W = 1 Joule Strech of the spring, x=11 cm = 0.11m   Now, The spring constant is…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

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Q: Determine the exact value of the following expression. tan 137) 8

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Q: Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface…

A: According to question,Given vector,F→ = 4yi→ + 7zj→ + 7xk→z = 64-x2 + y2for z≥0.

Q: A particle that started at the origin and is moving along the x-axis has a velocity function given…

A: We need to find out the position of the particle after 39 seconds.

Q: The total cost of producing x magazines is given by the function C(x)=600+17x−0.1x2+0.5x3. Find the…

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Q: 18) The graph of f(x) is shown. fox A) I only 4 B) 1:4 f¹=0 at X = ? c) 1; 4; 5: D) 143536

A: As per guideline only one question is allowed to solve if multiple question is asked in single…

Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  first we need to…

Q: Find the sum of the first 30 terms of the sequence. 3, 12, 21, 30, ... S30

A: given  3,12,21,30,.....the difference between numbers is 9we know that sum of nth term of a.p. is…

Q: Evaluate the integral. fact 6x + 3 x² 3 x5 5 x5 •3 2 x³ 3 - 6 x² co|800 x3 6 ln x + 3x 6x² 2 x3 3…

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Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: Sketch the graph of the following function and determine whether the function has any absolute…

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