What is a for the sequence a₁ = n² - n? A. a₁ = 8 B. a = 12 C. a = 4 D. a₁ = 16 OA OB OC OD

Q: If y = √1 − x² sin¯¹x, prove that (1− x²) ¹ + xy = 1− x². dx

A: We can prove the given the result by differentiating the given function.

Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

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Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

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Q: Q4) Find dy /dx for the following functions : a) y².cotx= [sin(x.y)]-¹

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

Q: Question 4. Find an equation of the line of intersection of the planes -x+2y+z= 1 and x+y+z=0.

A: This is a problem related to geometry. Based on the general formula and concept we will answer the…

Q: True or False: 6. If the limit exists at x = a then the function is continuous at x = a. 7. A…

A: This question can be solved using the concept of limit, continuity and differentiability.

Q: Solve the equation x^3−2x^2−x −6 = 0 given that x = 3 is a solution.

A: The given equation x3-2x2-x-6=0

Q: A town's population has been growing linearly. In 2003, the population was 48000, and the population…

A: This question is related to linear function, we will solve it using given information.

Q: -1 3 -6 -4 -3 4 Let y = = V1 = 9 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

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Q: 6 + 5 4 3 2 1 What is the least possible degree of the polynomial graphed above?

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Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: Estimate [²₁3 13 cos(x²) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4.…

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Q: Evaluate the indefinite integral by using the substitution u=x*+x to reduce the integral to standard…

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Q: 14) The solid is generated by rotating R about y = -3. 15) The solid is generated by rotating R…

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Q: (x² - 4) dx x² + 2x² + 2x S

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Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Problem 1. Graph the function f(x) = +62+5 2-1

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Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: 1. Find a potential function for the vector fields a) b)

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Solve 5^(x-3)=2^(6x-8)

A: Topic = Algebra

Q: Part A. Match each question in column A with the correct answer found in column B. 1. Using the…

A: The objective of the question is match the columns.  Given parallelogram

Q: For a plane with a normal of n = [1, 2, - 9]   and containing a point P (3, -4, 0), write the…

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Q: A certain population of squirrels is represented by the function P(t)- 31(e), where P is the number…

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

Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

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Q: the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with…

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Q: Determine the area of the region enclosed by the Y-2x = -1 and 4 = x ² = 4x+4. Do not simplity…

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Q: Q4) Find dy /dx for the following functions : a) y².cotx = [sin(x.y)]-¹ b) y = (In x + x) tan x

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Q: Given that f(z)=z-z where does f'(z) exist

A: Concept: f(z) is differentiable at a point z0 if it follows two conditions: (1). ux , uy ,vx ,vy all…

Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

A: solution is given below

Q: Convert the equation f(t) = 232(0.76)* to the form f(t) = aekt a k= ||

A: The equation ft=2320.76t

Q: b) 42x + 4 = 6 (HINT: use substitution)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: b Use the Substitution Formula, [f(g(x)) • 8 √ 4(Imx)³ dx X 8 3 $4(lnx)³ g(b) g (x))• g'(x) dx = […

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Q: R: y = 2x +1,x+y=7,x = 8

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Q: 18. Which point does not lie on the same plane as the points P(1,5,6), Q(-2,-3,4), and R(-1,3,2)? a.…

A: First we find equation of plane passing through points P(1,5,6), Q(-2,-3,4), R(-1,3,2) We know that…

Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: Group 1. Evaluate the volume of the "ice cream cone" bounded above by the sphere and below by the…

A: As per our guideline we are supposed to answer the first question of a multiple type of questions.…

Q: 3 co ós co -6 -3 144 -4 Let y = ,V1= 5 Compute the distance d from y to the subspace of R4 spanned…

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Q: Question 7 of 12, Step 1 of 1 Solve the differential equation given below. Answer y = JUN 14 esc ck…

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Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: Compute the following integral: [x²√1 + x¹ dx

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Q: News s the followinouation sutisfied Cauchy - Rieman. equation w = Z₁ W 4

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Q: ]f(x)=x³-9x² +15x+4

A: To find all the details of the function, critical points, inflection points, domain etc and finally…

Q: 8 ["#f(z)de = [", 1(2)dz + ["*1(2)\dx = [ 1(²)dx, *, f(x) ƒ(z)dz -3 If what are the bounds of…

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Q: Find all the values of X if any for the tension line to the graph for the function is horizontal Y=…

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Q: . A 2-kg block is suspended from a spring having a stiffness of 800 block is given an upward elocity…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is  . the spring constant…

Q: k 4 · 3k+1 50

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Q: Given f(x) = 2x³ + 4, use a table to estimate the slope of the tangent line to f at the point P(-3,…

A: fx=2x3+4, tangent line to f at the point P-3,-50

Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

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Q: 1. a) Given the lines L₁ : 7 = (1,2,−4) + t(k+ 1,3k + 1, k − 3) and L₂: x=2-3s, y = 1-10s, z = 3-5s,…

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