can you please explain further what is being said I do not understand

Q: Differentiate the function. g(t) = 9t + 8t² g'(t) = 9+16x X

A: given  g(t)=9t+8t2we know  dtndt=ntn-1g'(t)=d(g(t))dt

Q: Determine the solution of the following differential equations. c) (D¹ + 2D6 + 7D5 + 14D4 + 8D³ +…

A: To determine the solution of the following differential equation.D7+2D6+7D5+14D4+8D3+16D3-16D-32y=0…

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

A: The given differential equation D2+2D6+7D5+14D4+8D3+16D2-16D-32y=0. We have to find the general…

Q: The marginal cost function C'(x) was defined to be the derivative of the cost function. If the…

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

Q: Find the points on the curve where the tangent is horizontal or vertical. 3 x = t³ - 3t, y = t² - 4…

A: The given curve x=t3-3t, y=t2-4. We have to find the points on the curve where the tangent is…

Q: A collection of nickels, dimes, and quarters consist of 19 coins with a total of $3.35. If the…

A: let numbwes of nickels is  x let numbers of dimes is  ylet numbers of quarters is zgiven  total…

Q: sing the method of variation of parameters to olve the nonhomogeneous DE: y" + 6y + 25y = 7+ 2x² we…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Find the length of the loop of the given curve. x = 6t - 2t³ y = 6t²

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Q: Obtain the general solution of the D.E. y - 4y + 4y=e²x O 1 + y=c₂e²+ = x²e² O 1 2x y=₁₁²³² +₂²² + =…

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Q: Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t…

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Q: solve: y" - Hý + 4y = 40st; y(0)=2₁ y(0)=5 using Laplace transform

A: y''-4y'+4y=4cos 2t Taking Laplace transform on both…

Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

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Q: Let C be a cylinder of radius 5 whose axis of rotation is the y-axis. Draw a graph of C and then…

A: We need to find equation of cylinder. As per Bartleby guidelines we can solve one question from…

Q: Express the following limit as a definite integral. n 1 lim Σ -Ax where P is a partition of [2,4]…

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Q: (d) Given the graph of f (x) below (blue), select the correct graph of the transformation y = f(x +…

A: To do transformation on given function f and determine its graph.

Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: Inverse Laplace transform of 2S-5 2 + is s²+16 F(s) = f(t) = 2cos(4t)-5sin(4t)+t² دی Select one: O…

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Q: Use reference angles to evaluate sec Enter the exact answers. For the number 7, either choose from…

A: Given query is to find the value of the expression.

Q: er the equation of the parabola graphed below, using the vertex form y = a (x-h)²+k. y = (-1,0)…

A: To solve the following problem using graph

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: use derivative and critical points for absolute maxima/absolute minima

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: Two sides of a triangle are 16 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: let sides of a triangle are a and b let angle form by the sides = θlet A = area

Q: Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8)…

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Q: ppose h(x) = f(g(x)). Given the table of values below, determine h' (2). x f(x) g(x) ƒ'(x) g'(x)| 2…

A: Given query is to find indicated derivative.

Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

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Q: DETAILS Use the Comparison Theorem to determine whether the integral is convergent or divergent.…

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Q: Question 1: Find an explicit formula for the geometric sequence with a₁ = 10 and a4 = 80. a_n=…

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Q: Write a polynomial with a leading coefficient of 1, degree 3, that has zeros at and x = − 5. Write…

A: Given query is to find the polynomial.

Q: Use the given transformation to evaluate the integral. J (15x+10y) dA, where R is the parallelogram…

A: INTRODUCTION: The two types of integrals are double and triple integrals, with double integral being…

Q: (From Briggs) 1. Without evaluating integrals, explain the following equalities. a. b. 7(8-2x) dx =…

A: We need to explain inequalities. As per Bartleby guidelines we can solve one question from multiple…

Q: (i) The velocity and acceleration of a particle is given as v= -4i -9j + 5k and a= 6i - j + 3k Find…

A: Given velocity and acceleration vector v = -4i -9j + 5ka = 6i -j + 3k

Q: 1. Find f'where f(0) 2 Find all = 1+sec(0) 1-sec(0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4 n=1 What is the expansion of the series 4+1?

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Q: Given f(x) = 19x - 3| +2 25. f'(²-) = If f(x)=(√3x-2)5 then f'(9) = Given f(x) = sin(3x)² 26. f'() =

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Q: Find the area between the curve and the x-axis over the indicated interval. 2 y = 36-x [-6, 6] The…

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Q: Let C be the curve defined by the following system of √x+6y²-2²=0 3y = z 14:

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Q: A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is…

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. X(t) = dx dt…

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Q: Let C be the curve f(x) = = the length of C, as follows: (2) Show that √1+ f'(x)² In(x) 2 1 2x x 2 4…

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Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

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Q: 7. Let f be a function defined for all real numbers x and for all real such that f'(x) < 0 and f"(x)…

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Q: The weight of a body, W, above the surface of the Earth varies inversely with the square of the…

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Q: Suppose a linear function has a vertical intercept at y = -9 and a horizontal intercept at x = 15.…

A: Linear equation

Q: 12. Find f x √(1-x²)³ dx

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Q: The marginal cost of producing x units of a certain product is  75 + 1.4x − 0.006x2 + 0.00004x3…

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Q: Find the length and width of a rectangle that has an area of 392 square feet and whose perimeter is…

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Q: fa²√³-3 da: This can be transformed into a basic integral by letting Consider the indefinite…

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