Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

Q: Given: cosg= -, sin x= - 13, e is in the third quadrant, and x is in the fourth quadrant; evaluate t...

A: Given,            cosθ=-45 , sinx=-1213 , θ is in the third quadrant and x is in the             fou...

Q: Suppose that you have deposited a certain amount of money in a bank that pays an interest rate of 2....

A: Given:  Interest compound continuously       r = 2.5%       t = 10       A = 12840.25

Q: A feasible region for a Linear Programming Problem is given below: 3 =-r+2 y = - 0. -1 Ar-3y 5 -2 -0...

A: topic - linear programming problem

Q: Differentiate: f(x) = 4x³ - (5/x²) %3D O a. f(x) = 12x² + (10/x³) O b. f(x) = 12x2+ 10x3 O c. f(x) =...

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Q: Differentiate: f(x) = 4x³ - (5/x²) O a fx) = 12x²-(10/x³) O b. f(x) = 12x² + (10/x³) O c. f(x) = 12x...

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Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: (Straightforward) Find the flow vector ī(x, y) and sketch the flow field for the differential equati...

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Q: Define

A: We will define continuity at a point as well as in a interval. 

Q: A4 The graphs of x = 6, y = h(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to ...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1) y=π 2)f(x)=(x2+3)+(2x-5) 3)y=(x2-3x)10

Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ + 1...

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the solutio...

Q: A ball is thrown downward with a speed of 11 ft/s from the top of a 121-foot-tall building. After t ...

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Q: Find the derivative of each of the following functions. Do not simplify your answers. (a) g(x) = cot...

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Q: 1. Create a Probability Distribution Table for: a) a Sum when 2 Dice are rolled. You list a table of...

A: A) a Sum when 2 dices are rolled.  Sum  Probability 2 1/36 3 2/36 4 3/36 5 4/36 6 5/36...

Q: Given: cosg= sin x = - 12, A is in the third quadrant, and x is in the fourth quadrant; evaluate tan...

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Q: x² – 5x – 6 44. f(x):

A: To sketch the graph of f(x)=x2-5x-6x2. Solution: First differentiate the function with respect to x....

Q: 2 When graphing equations it is important to have the equation in form. Choice Options Slope Interce...

A: Topic:- geometry

Q: 2 Evaluate the J ) dx xvx2-4. | a) arcsec ) + c (2) b) arcsin (-) +c c) arccos(x) + c d) arcsin(x) +...

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Q: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t ...

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Q: lim 8-x3 x→2 (x-2)

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Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the numb...

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Q: Find the surface area of revolution about the x-axis of y= 3sin(5x) over the interval 0 ≤ x ≤ π/5

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Q: Suppose that f(x) is a function with f(120)=52 and f′(120)=3. Estimate f(119.5).

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Q: Given (x³ + y² + 7)* = 4x + 3y + 9, (a) find y', (b) find the equation of the tangent line at (-2,0)...

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Q: Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

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Q: so

A: We will find the appropriate solution. 

Q: (a) Calculate the limit lim (z,y)→(0,0) x³ + y*' or show that it does not exist.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Using product rule differentiate. 

Q: Let the function f be defined by tan(x) – 1 (x) sec(x) (a) Use the Quotient Rule to differentiate th...

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Q: 6 For the function y = f(x) : 2 + x² ' a. Find the slope of the line tangent to its inverse function...

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Q: 10. Determine whether the intermediate value theorem guarantees that the function has a zero on the ...

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Q: If s(t) = 8t = 12t – 48t + 5, represent the position of a particle traveling along a horizontal line...

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Q: Find the nth Taylor polynomial for the function, centered f(x) : 1 n = 4, c = 5 %3D 2' Pa(x) : %3D

A: We have to find out Taylor polynomial

Q: 5) Find the scalar and vector projections of b onto a. a = 5i – k, b= i + 2j + 3k %3D -

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Q: dx

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 6t³ – 13t...

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Q: 4 ース -where do es t have relahive minimums ? the relahi ve minimum is which occuRs at X= where does ...

A: topic- relative maximum and minimum of function  relative minimum is the value of function where fun...

Q: Consider the integral 2 6z² In(z) dz

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Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given i...

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Q: Determine the base function that has been transformed, describe the transformation, then sketch a gr...

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Q: 1. Differentiate by using product rule. You do not need to simplify. 9. y = (5x* – 8x +)(2x6 – 5) x3

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Q: 6. [Geogebra Question] The altitude (in metres) obtained by an object t seconds into flight is given...

A: To find the maximum height of the object.

Q: find the region or scope of the function

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Q: Find a particular solution to the ODE below using undetermined coefficients. Use t as the independen...

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Q: Find the indicated derivative and simplify. y' for y = (2 + 7x- 9x²) ex y' =]

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Q: nvobability density fonction (pdf) How did he get the value inside the circle? unda probability d-f ...

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Q: d²y dx? 3 y = 1/2 dy/dx = -1 when x = 1 | |

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Q: Determine the length of the curve y = In(cos r) betweenI = 0 and r = 1/4. (Hint: if you simplify the...

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Q: • Chapter 4 Section 4 1. A new manufacturer of automobiles in Canada has determined that the quantit...

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