Suppose a line L is perpendicular (a.k.a. at a right angle to) the line y = x + 1, and that I contains the point (1, 1). Write the equation for L in the form y = mx + b.

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

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Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: 3. S sinxdx 7+ cos²x

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Q: 1. The equation x² + y² = 1 describes a circle of radius 1. Solving for y, we get y = √1-x². (b)…

A: Solving the problem

Q: Prove or Disprove the following (show full solution) d at (x arcsinx + √T=x²) = arcsinx

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Q: 7-52 Find the derivative of the function. 7. f(x) = (2x³ - 5x² + 4)5 8. f(x) = (x³ + 3x² − x)50

A: We have,

Q: Use substitution and partial fractions to find the indefinite integral. (Remember to use absolute…

A: By using substitution and partial fractions to find the following indefinite integral. ∫sec2xtan2x+9…

Q: Speed of Parametric particle. x=+³²-3+² y = 26²³-3+² -12 +

A: We have  3t2-6t2+6t2-6t-122=375 We have to solve for 't'

Q: Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ f(-1.1, 6): = tan(x) + y and u is the unit vector in the…

A: f(x,y)=sqrt(tanx+y) , (x, y) = (-1.1,6) Unit vector in the direction <-1,1> Find the gradient…

Q: What is the approximate volume of the solid created when the region under the curve y = sint on the…

A: The solid created when the region under the curve :  y = sin(x) on the interval [0,π] is rotated…

Q: Consider the equation −5x +9y = 27 A line parallel to the above line would have a slope of A line…

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: A ship leaves port at noon at a bearing of 143°. The ship's average rate of speed over this time is…

A: A ship leaves port at noon at a bearing of 143°.  The ship’s average rate of speed over this time is…

Q: PROVE OR DISPROVE THE FOLLOWING 3 1²/2 8 d dx x + 8 sinxcosx + cos³xsinx) = cos x

A: We need to verify the given expression.

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: The function y = Ce-2 +3 Solves the differential equation y' + 3y = -2y + 6. O true false

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Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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Q: ne Map you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies…

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Q: The subject is: PrecalculusThe general subject is: Introduction to Calculusand the specific subject…

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

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

A: We need to find derivative and rearrange then in order.

Q: For the integral below give brainstorm two possible approaches (e.g. “substitution, with u = ...”,…

A: Given :  I = ∫sin(ln(x))dx   To find : For the integral give brainstorm two possible approaches…

Q: 8 3 + 8 2 + 18 3 3 + 8 3 +. ...

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Q: Use the precise definition of the limit to show that lim . x→2 x2 + 4x − 5 = 7

A: Using the definition of limit we have to show that:  limx→2 x2+4x-5=7

Q: Let Σan (x+3)" n=0 denote the Taylor Series of 21 at the point x = −3. 2-x Then a5 =

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Q: 9-12 Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer…

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

Q: Consider the function: Which of the following is a partial derivative of this function? x* - Bxy + z…

A: The given function is:f(x, y)=3xye8x2-8xy+12y2

Q: Evaluate the definite integral foto tº cos(t5)dt: 5/π/2 Step 1: Start by making the substitution…

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Q: Solve the given initial-value problem. dy y(x) = x(x + 1) I = dx + xy = 1, y(e) = 1 Give the largest…

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Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the round.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

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Q: , 103√x - √x X dx

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Q: Determine the area bounded by y^2+4y=x-3 and 2x-y-3=0. Using a Horizontal Element.

A: The area bounded by the curves x = f(y) and x = g(y)  between y= a and y= b is given by…

Q: A-1²3 5. Find the determinants of A= 1 1-6 B -1 4 4 Is det|A| = -det|B|? 5 -1

A: The matrices are A = 21-1-14451-1B = 2-11-1445-11 To determine: The value of determinants of A and…

Q: Find all solutions y' = (xy)^(1/3) y'= 1+x-y-xy.

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Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: 3 = (2x³ + 4). 3. Find the equation of the tangent line when x = -3 for the function f(x) =

A: given f(x)=(2x3+4)3

Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

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Q: Applying implicit differentiation, find the derivative of the function 1/x + 1/y = 1

A: Given :  1/x + 1/y = 1

Q: Find a formula a,, for the n-th term of the following sequence. Assume the series begins at n = 1. %…

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Q: Solve the formula for k 7k + ka a = f

A: Use multiplication rules

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Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: 0 3 x√x² + 16 dx 2

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Q: 4. Evaluate the integral: 1 (x³ + 1)³6x² dx S= Type U U'

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Q: 3. As light passes through water, it is gradually absorbed. The percent of light absorbed, 4, as a…

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Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: 1. The equation x² + y² = 1 describes a circle of radius 1. Solving for y, we get y = √1- x². (c) To…

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Q: Let M be a hermitian matrix. Fill in its missing entri- M = -3 -9 - 5i 1 - 2i -4 −6+2i 0

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Q: 1) Consider the function g(x, y) = ln(xy). a. Find the domain. b. Sketch a graph of the domain. c.…

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