tan x 3 sec x If f(x) ƒ'(x) = To two decimal places, ƒ' (1) = =

Q: Let f(x) ƒ'(x) = = 5 csc (8x)

A: The answer is given below:

Q: O F5 F1 O F4 F-1- F3 F2 Some antiderivatives of a certain function are graphed here. Although there…

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Q: Find the general solution of the differential equation. y (4) + 2y"+y = 9+ cos(4t). NOTE: Use C1,…

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Q: Evaluate the limit. 1000x6x6 + x³ 1000+ 13x6 + es Give your answer in exact form. If the limit does…

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Q: 7. The value of f √x dx 1+√x A. x-2√x + 2 ln (1 + √√x) + C B. x-2√x -2 1n (1 + √√x) + C C. x-2√x+2…

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Q: eased equipment worth $70,000 for 5 years. If the lease rate is 5.75% unded quarterly, calculate the…

A: Please refer to the image below

Q: Question 8 of 10 Calculate the appropriate limit to determine the equations of any horizontal and e…

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor series of function fx at a is defined as:…

Q: Find the area between y= |x|^y=2-12x₁

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Q: Find the limit. O 75 π O O' O O I 00 D8 - 150 lim sin¹. 5 x X→ 0 ¹7x

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Q: 4. S (e² + 1)2² dx ex

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Q: The position of a car traveling along a highway is given by the function s(t) = 2t² - 6t+ 3 where t…

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Q: Find g(x) 8 if g(x) = In[(x+5)³(2x-1) (4-x)]

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Q: Find the slope of the tangent line to f(x) = √9x³ at the point x = 4.

A: We have to find the slope of the tangent line to f(x)=9x3 at the point x=4.

Q: Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to…

A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: Find the Wronskian of the functions f(t) = 4et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

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Q: Which polar coordinate pair labels the same point as the one shown below? Select all that apply. A.…

A: Here is the solution:

Q: Question vector equation a) Let C be a curve defined by the r(t)= . 473 Show that the point P(-5,…

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Q: What amount increased by 180% is $32.56? $18.09 $91.17 $12.45 $11.63 $180.89 4

A: what amount increased by 180% is $32.56

Q: 8. f(sin3x – cos4x) dx

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Q: 1. Consider the region bounded by y=cos x, the x-axis, and the y-axis. What is the volume of the…

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Q: Write the first three terms of the sequence. an = 5n-4 2 n² +4 a3 The first three terms are a₁ = ₁a₂…

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Q: The auxiliary equit of the given diff- egnn is m²r² + 6m +8 = 0 2 m²+ ym + 2m +8=0 m (m+4) +2(m+y) =…

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Q: dx 1. Find the general solution of + dy y+ xy² + x³ x+x²y+y³ = 0 using DE with IC

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→explq = cq and limx→ck = k. (Use…

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Q: Find G'(w) if G(w) = 9 6 4w +6+ √w.

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Q: 1o₂ = 2 · (² x (t) ·cos (nwot) at + = + [² 2 a 2¹ (1-4) Cos (2nit) dt =21 (1-t) 2 [- (t-1) Sin…

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the functionfx=x2+2xx≤14-x1<x<3x-3x≥3we discuss about the discontinuity of the…

Q: The distance between cities A and B on a map is 12.75 in. The distance from city B to city C, is…

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Q: For every 2 x 2 matrix A, we have det (A)² = (det (A))². O True O False

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Q: Question 3 of 10 1 f(x)=-1 →2 Given find the following limit lim 7f(x)-g(x)² g(x)+1 lim g(x)=1 use…

A: This question can be solved using the concept of properties of limit.

Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

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Q: Find the equation of the plane that passes through the point (4,-1,2) and is orthogonal to the line…

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Q: Question 10 of 10 U Sketch a possible graph of a single function satisfying all of the following…

A: We have to sketch the function.

Q: each of the following cases, find the area of the region that lies inside both the curves. a) r= 1,…

A: Please see the below picture for detailed solution.

Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

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Q: Use any method to determine if the series converges or diverges. Give reasons for you! M8 n=1 Select…

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Q: 2 (sin x cos x + x) + C - 2 (sin x cos x + x) + C (sin x cos x + x) + C -(sin x cos x + x) + C [(cos…

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Q: Find the limit. O 0-00⁰ 05 O 8 0 -15 lim x² + 5x -50 x + 10 X→-10

A: Our Aim is to find the limit of the expression given below:-limx→10 x2+5x-50x+10 -(i)

Q: √x dt 1+t² 2 em moves along a coordinate axis al ith velocity v(t) = 2t² -1 meters econd. Find the…

A: Topic:- calculus

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) z√z…

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Q: Find the relative maximum and minimum values. f(x,y) = x² + y²-18x+16y-11 Select the correct choice…

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Q: for P.f. 1 D+6D+8 아라 e-24 "2 스라 1 (D-2) ² +6 (0-2) +8 e-라- , Re-4 e-라 D24D+416D-12 +8 4 D212D (나물) t…

A: To find the P.I.

Q: Find the solution of the given initial value problem in explicit form. 114 y(x) = y' = (1 – 3x)y²,…

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Q: Write an equation (any form) for the quadratic graphed below 4 3 2 -5 -4 -3 -2 -1 y = 1 -2 -3 1 2 3…

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Q: Find d79 dx79 (-7 cos (x)). Provide your answer below: 879 dx79 (-7 cos(x)) =

A: The answer is given below:

Q: Evaluate the integral Select the correct answer. O ㅇ 12 πC 24 πC 12 + + + 나이 이어 나이 이어 1 4 −|◄ −|+…

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Q: f(x) = 2x + 5

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Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. a =…

A: To find if the given sequence is convergent or divergent.