F(x)= -sqrt(4x+1)-2 This is the value of the function

Q: Use the substitution u= x² + 6 to find the following indefinite integral. Check your answer by…

A: To evaluate the integral.

Q: Find the average value of f(x) = -x+1 x3 Submit an exact answer using fractions and/or roots if…

A: The given function is;  f(x)=(-x+1)/x3 over the interval [-3,-1].

Q: parametric

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Q: Q2: Find the 1. y = 1- 2. y [In(x² + 2)²]³ 3. y = xcsex tan² (cos x) 4. y for the following…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: Q3/ Solve the following Second order differential equations. 2- d²y dx² +3+ 2y = e-x + e-2x -

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Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: sin 8 cose √cos²0-9 c. f S do

A: Since, we have been asked to solve Part-C in which we have to evaluate the integral given…

Q: d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

A: The given problems can be solved using chain rule of differentiation.

Q: 62. y + y = 22 +10x X

A: To find out the general solution of the differential equation.

Q: Use the figure below to find the exact value of the trigonometric function of angle A. csc (A) 7 5 A

A: We have to find the exact value of the trignometric angle A, csc(A)=? Since ABC is right triangle,…

Q: Evaluate the definite integral. S √4x + 3dx

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7.

A: I have stated the used formulas in the solution

Q: Given the function f(x) = x² – 3x f(2+h)-f(2) h (a) Find the expression (b) Use your result from…

A: The given function is ; f(x)=x2-3x.

Q: 3+13 -t 5. Consider the vector valued functions x₁(t)= and x₂(t)= t2 -(3) (a)Compute the Wronskian…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Answer the following questions for the function defined on the interval [-5,7). a.) f(x) is concave…

A: Use derivative concept

Q: find the area of parallelogram A=(0,2,0) B=(2,5,2) C=(3,8,4) D=(1,5,2) round to 2…

A: The given points are A=(0,2,0), B=(2,5,2), C=(3,8,4), D=(1,5,2)

Q: 3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t)…

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Q: Use substitution to evaluate the definite integral given below. 1² (Enter an exact answer.) Provide…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = cos(t)i + sin(t)j + tk…

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Q: Solve the given initial-value problem. y(x) = y" + 6y'7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 11e2x 7e…

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Q: Q2/A Cylindrical tank with radius of (3 m) and height of (10 m) has initially filled with water. In…

A: Please see the below picture for detailed solution.

Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Why do you do e to the power of the integral in order to solve the question? Why not just integrate…

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Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: (1) Find the Taylor series for f(x) centered at the given value of a. (Assume that f has a power…

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Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x

A: Since multiple questions are asked, I am answering first question

Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

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Q: e −1 -1 lim (−1) t⇒0 t

A: Use limit expansion

Q: 19. For a given function, f(x) = ³ - 15x² + 48x + 2, (a) Find the interval(s) on which f is…

A: Note to student :    Thanks for posting your queries. But there are  multiple parts given. As per…

Q: 04: Answer two only: (A): I A-2 1 -1 1-2 Find AB and AC.. -- 3 1 1 and 1 3 1 CO

A: Given :A=420210-2-11, B2312-2-2-121, C=31-3026-121

Q: Find the critical points of the given function. 1 a) f(x) = -√24/3+2¹/ +2-2/3

A: Since multiple questions are asked, I am answering first question

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: 1. Solve the differential equation dy dx + 2 Y sin r 22

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Q: 3. Solve one of the following inequalities. Write your answer as an interval or union of intervals.…

A: This question is based on finding solution of inequality.

Q: Determine whether the improper integral diverges or converges. 16 1 √√√x dx converges diverges…

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Q: ( 1-x+zy) . ول دل ران 3(x+2y)

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x - sin²x

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Q: A. Find the following limits. Answer four only. x-¹-1 i. ii. iii. lim- X-1 X-1 lim 4x-x² X-4 2-√√x…

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Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be…

A: Solution is given below:

Q: Solve the following differential equations: a- cos (x+y) dx +(3y2 +2y +cos (x + y) dy=0 b- y = (x +…

A: Given a- cos (x+y) dx +(3y² +2y +cos (x + y) )dy =0 b-y'=(x+1)e-xy2

Q: Precalculus Let cos0 = 5/13, 3π/2 < 0 < 27. Find the exact value of each of the remaining…

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Q: (B): Find the unit vector 3i - 4j + 5k perpendicular to the vectors: 4i + 5j-6k

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Q: A particle moves along a line with a velocity v(t) = -2t+4, measured in meters per second. Find the…

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Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) limal; (2) Itm X(tan-¹x-x)

A: I have solved step by step in detail...go through the solution

Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series.

A: The given series: ∑n=2∞x+2n2n ln n

Q: Evaluate the indefinite integral as a power series , x² ln(1 + x)

A: We want to find the indefinite integral as a power series.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. a)…

A: