16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3 at x = - 2

Q: 0=yج - - لا

A: Follow the procedure given below.

Q: 3)Evaluate the following integral by using Trigonometric Substitutions Method. dx √√9x² +9

A:

Q: dx 4 sin x 3 cos x

A:

Q: Evaluate the following integral by using Odd and Even Powers Method: y = cos(x) dx =

A: If power of cos(x) is odd then put sin(x) = t and reduce the integrand in terms of 't' and then…

Q: Evaluate the integral [x²y³² (x²y + xy² + y²²)dxdy dz 001

A: see below the answer and calculation

Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 2ky+k² = 0 and 2x…

A: The given graphs are x2-2kx-2ky+k2=0.....(1), 2x-2y+k=0.....(2). We have to find the area of the…

Q: Q1): Find the point (x, y, z) that lines on the plane x + y + 2z = 4 that is near origin.

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Q: 5x-4 (x²+4)(x+2) Evaluate S dx using Partial fractions.

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

A:

Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: 2) Find the length of the shortest ladder that can pass over a fence 1.8 m high and reach a wall 3 m…

A:

Q: . Solve for and simplify the result. dy dr y = (3x-2)5 (2²+5)6

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Q: sin x 4-5 sinx+sin2x dx

A:

Q: 4) √₂° e¯*dx = 5) S- dx = 4x+5 x²+x-2

A: Given, ∫2∞ e-xdxLet I=∫2∞ e-xdxI=e-x-12∞I=-1ex2∞I=-1e∞--1e2I=-1∞--1e2I=0--1e2I=1e2Therefore∫2∞…

Q: Determine if the following operation on the two given matrices is defined, and if it is, determine…

A: I am attaching image so that you understand each and every step.

Q: . Using the diagram below, fill in the blanks. B A D F G E Column A: a) AB+ BC b) FE+FG c) HG+FB H…

A: Follow the procedure given below.

Q: a) Evaluate the following indefinite integral of a rational function: √9-4x² dx X

A:

Q: By using Euler method, Solve these questions 3.3 2 2 XD² + 2XD + XD=Y=6

A:

Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

A: We have to solve given Questions.

Q: Simón wants to build a rectangular pen for his animals. One side of the pen will be against the…

A:

Q: find distance between point A(2,-4) perpendicular on the line L: 3x- 4y=17 6.5 O 7.22 O 4.79 O 6.22…

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Q: T 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

A:

Q: 4. When a 2-kg block is suspended from a spring, the spring is stretched a distance of 40 mm.…

A:

Q: 5. The probability that Stu doesn't do his homework is 3/4. The probability that his teacher…

A:

Q: Σ(4) ΕΞ.

A:

Q: 3. When a 2-kg block is suspended from a spring, the spring is stretched a distance of 40 mm.…

A:

Q: Evaluate the following integral. 1 tan (√3x) 1 2 (3x)² +(3x)² - 13 0 MIN 3 dx

A: Here we have to find the integral

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

A:

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

A: To solve a homogeneous differential equation of the form dydx=f(x, y), it is easy by making the…

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,…

A:

Q: The plane with equation = (6,-2,3)+a(1,3,0) + b(2,2,-1) intersects the y- and z- axes at the points…

A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

Q: (x² - 12x + 9) dx (x²-3x + 2)²

A:

Q: You want to purchase a building to open your restaurant and you are given 3 different payment…

A: Here, the total amounts of the payment schedules are to be compared. i. The upfront cash payment is…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 7 sin(x) + 7 cos(x),…

A:

Q: Evaluate exactly lim (1 + sinx)²cotx x→0

A: This question is indeterminate form of 1infinity and solved using L Hospital rule.

Q: given the following equation: 36y^2-4x^2=144.  a) determine if the function is an ellipses or a…

A: This question can be solved using the concept of conic section.

Q: 6. The diagram below shows a regular hexagon. For each vector expression, write a single vector that…

A:

Q: Find the exact length of the curve. 36y² = (x²-4)³, 5≤x≤9, y 20

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Q: Find the intervals where the function 1 f(x) = 2cosx + sin2x, 0 ≤ x ≤ 2π is concave up.

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Q: Suppose that the polynomial function fis defined as follows. f(x)=(x-13)²(x-8)³(x+4)³ List each zero…

A:

Q: 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

A:

Q: Write f(x) = x 2 − 10x + 8 in vertex form.  precal

A: Given :f(x)=x2-10x+8

Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: Show that the following are binary operations on the specified sets. 1. Addition, subtraction, and…

A: Binary operation is the operation which is performed on two elements of a set X and the result is…

Q: The polar equation r(0) = 4 +5 sin(0) is graphed below. 15+ 14 13 12 11 10 8+ 7 6 + 5 O 4+ 3 2 + +…

A: Above question is solved.

Q: B) Let F(x,y)=√√y-x, then answer the following (For four only): (1) Find the function's domain (2)…

A: According to Bartleby guidelines I can only answer the first three sub questions.

Q: 3 B 3! - What is the second derivative of the function f(x) = xex ?

A:

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: Recall:., To find Average,  Ave=1b-a∫abS(t)dt We have, S(t)=600 et, a=1, b=5

Q: Q1: Sketch y = 2ln[√cosh (3x) - sinh(3x)] + 4x.

A: The objective of the question is sketch the given function.