Find the equation of the tangent line to the curve y = 6 sin z at the point (7,3). The equation of this tangent line can be written in the form y = mx + b where m= and b Question Help: Video Message instructor D Post to forum Submit Question

Q: The function f(x) -2x³ + 30x² - 144x + 6 has one local minimum and one local maximum. This function…

A: Local maximum and minimum of fx=-2x3+30x2-144x+6

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A: The statement is: y varies inversely as x To determine: the mathematical model for the given…

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Q: Suppose f(x) = x³ − 6x² − 63x + 10. Find the absolute extrema of f on each of the following…

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Q: Use the appropriate formula to find the value of the annuity. Find the interest. eriodic Deposit…

A: Please see the below picture for detailed solution.

Q: Model the data using an exponential function f(x) = Abx. f(x) = x 1 f(x) -51 X 2 -65.025

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Q: Find the component forms of v+w and v 7 - ||v|| = 1, ||w|| = 1, v makes an angle of with the…

A: Given: v=w=1 v makes an angle of π6 with positive x-axis and w makes an angle of 3π4 with positive…

Q: Find exactly the vector oppositely directed to v = (3) and half the length of V. i i

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Q: 1-47 Evaluate the integral. 1. fsin'x cos³x dx 2.

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

Q: If f(x)=x and g(x) = k -x are orthogonal over [0,4]. Then k = ..... 01 3 о ооо Pwlaw/co N/~ 04

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Q: Evaluate the integral, if it exists. 5 19-x²|dx

A: G=∫059-x2dx

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Q: Find the points on the curve y = 2x³ + 3x² - 12x + 4 where the tangent line is horizontal. (x, y) =…

A: Derivative is zero where the tangent line is horizontal.

Q: Consider the function f(x) = 3 - 8x2 on the interval [-5, 7]. (A) Find the average or mean slope of…

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Q: not all questions are answered, and are incorrect

A: According to me all questions' answered are correct

Q: J x √16x² zdx

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Q: 6 sketch region bounded by the graphs of the functions and find the area of the region.

A: Here we have to find the area.

Q: Consider the function f(x) = ¹ on the interval [3, 10].

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Q: 4. Find the flux of F across S if F = yi-xj+2zk and S is the hemisphere x² + y² + z² = 4, z ≥ 0,…

A: We have to find flux passing through sphere.

Q: Find the absolute maximum and absolute minimum values of f(x) = x³ + 3x² − 45x-10 on [-8, 2] along…

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Q: 4x x+1 a. Calculate the critical numbers. 2. Given the function y=x-- b. Determine the absolute…

A: Given the function y=x-4xx+1. (a) To calculate the critical numbers. (b) To determine the absolute…

Q: 4 6y' – 2y = xy¹, y (0) = -1

A: The given differential equation is: 6y'-2y=xy4        ......1  Initial condition y0=-1

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Q: Determine the absolute extreme values of the function the interval 0≤x≤2л. f(x) = 2 cos x - Con

A: Whenever we find the extreme values ofthe function y=f(x) in the interval [a,b] then we apply the…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i - 4j as…

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Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

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Q: Triangle ABC has vertices A(4, 7, 7), B(1, 6, 5), and C(–2, 9, 8). Which kind of triangle is ΔABC?…

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Q: 2. Find the gradient of the tangent line of the function below at x = 0. y = 1 + 2x √√₁-x²

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Q: Which of the following properties describe the sequence {} O O O Not bounded and not monotonic…

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Q: 8. Find the equation of the line tangent to f(x) = (x² - 3)4 when x = 1. Write your answer in the…

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Q: How much work is done lifting a 10 pound object from the ground to the top of a 25 foot building if…

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Q: 29. If A is an n x n matrix and the equation Ax=b has more than one solution for some b, then the…

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Q: A city grew in population throughout the 1980s and into the early 1990s. The population was at its…

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Q: 11. Practice similar Help me with this Find the area under the curve y = 4xe¯ª for x ≥ 0. area = -

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Q: Express the integrand as a sum of partial fractions and evaluate the integra 9x+48 S3.8x² + 16x dx…

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Q: Find the area enclosed by the curve x = t² - 2t y = √t and the Y axis.

A: Eliminate the parameter t and draw the graph then find the definite integration to get the area.

Q: how do you solve the equations 1 and 2?

A: Solution: Given data, x³+19x²+103x-135>0 x³+19x²+103x-735<0

Q: Find y as a function of x if y" - 7y" +12y = 18e", y(0) = 25, y'(0) = 26, y'(0) = 25.

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Q: Give the derivative formula for the function. g'(x): = g(x) = 8 X + e¹2

A: The given function gx=8x+e12. We have to find the derivative function g'x.

Q: -4 -3 -2 A -67 -134 -201 -268 2 3 4 5 6 7 -335 -402 -469 -536 -603 -670+ For the above quartic…

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Q: Zha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads…

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Q: Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of…

A: We first find the profit function.  P(x)=R(x)-C(x)P(x)=px-C(x)P(x)=(10 − 0.0003x)x-700 + 8x +…

Q: Find the terminal point of if the initial point is (6, –8). The terminal point is (i e Textbook and…

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Q: Use interval notation to indicate where f(x) = x+2 if x 1

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