If f(x) = 5x³+2, then what is the derivative of f(x) with respect to x? O 15x O 5x2 O 15x2 O 15

Q: (5x+2) 2 What should be the rewrite of the integrand of -dx so that the resulting integral is…

A: To re-write the given integrand to make it integrable.   Given, I=5x+22x2   The integrand can be…

Q: 1. Determine the magnitude of the vector sum V = V₁ + V₂ and the angle x which V makes with the…

A: Given Data: The data is given as: a=3b=5V1=11 unitsV2=15 unitsθ=50°   To Determine: The magnitude of…

Q: The cross sectional area of a road with a width of 10 m is 33.1 square meters. The cross sectional…

A: In creating a curve, the tangent distance must often be limited. Some of them are crossings of…

Q: N is inversely proportional to the square of x and when x = 2, N = 50. What is N when x = 5

A: Inverse proportionality happens when the product of two different variables or quantities or…

Q: Given the joint density function (6 — х — у 0 < x < 2,2 < y < 4, f(x,y) = , 8 0, elsewhere a. Verify…

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Q: Calculate the inverse of the following matrices 2 -3 1 1. 4 -5 2 5 -7 3

A: Given: The matrix is,

Q: Evaluate the following integrals using integration by parts. x5e* dx |x3 In x dx -2x sin 2x dx

A: Hi there!! since you have asked multiple questions, we will solve the first question for you. If you…

Q: (14) For a linear element, using the local coordinate system x whose origin lies at the half point…

A: Shape function formula -  Si = x2 - xl = xj - xl⇒Si =  xj - xi + l2 + xl⇒Si =  xj - xi - l2 - xl⇒Si…

Q: Select the correct value of y at x = PI/3 for the following equation: y"+ y = 4x + 1Osinx while y…

A: Given- y"+y=4x+10sinx To find value of y at x=π/3

Q: In the Figure 1, if Q= 40 N, P = 50 N, and B 145', then R is equal to: "

A: Given data : The magnitude of force Q=40 N The magnitude of force P=50 N The angle between P and Q…

Q: (x - 1)(x – 2) z (x – 3)(x + 1)

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Q: If f(x) = 4x²+6, then what is the derivative of f(x) with respect to x? %3D 8x 8 O x 4x

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Q: To calculate the derivative dy/dx of the parametric equations x(t)= 3cos t and y(t)=3sin t for…

A: For dy/dx we will differentiate y and x w.r.t and divide

Q: Homework: use a double integral to find the volume of the solid that is bounded above by the plane…

A: Given -  Plane of the solid = f(x, y) = 4 - x - y Area of the rectangle = dx.dy Volume of the solid…

Q: If the probability P (a < x < b ) = 0.0395 for the function Y = 3 X 2 and a = 0.15, find the value…

A: Given: Pa&lt;X&lt;b=0.0395 Calculation: Since, Pa&lt;X&lt;b=∫abfxdx. Substitute the given function…

Q: Consider the function f(x) = x² - 4x + 3. If po = 1.5, use Newton Method to find out the value of…

A: To find value of P1

Q: 2 0.5 =8.901 (2.25 +X What are the steps for solving the following equation?

A: Given- Z3=8.9012.25+Z20.5

Q: Determine angle x from the given figure below: 2x 3x-20 y + 10 10 40° 30 O 20°

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Q: 1. Eliminate the arbitrary constants in the equation given by: (x – a)(y – b) = 1

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Q: For items 31-34, refer to the equation: 3xy'dx + (3xły + 4y³)dy = 0 31. Test for the exactness of…

A: First we have to write equation in form of Mdx+Ndy=0 and test for exactness of solution, Which can…

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

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Q: semi-circle , equilateral triangle 1.5000 1.5000 10.0000 6.0000

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Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

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Q: stated, the gravitational constant is ? = 9.81 ?/?^2. Note: Make your solution readable.

A: in x- direction sx=uxt+12axt210m=vcos30t+0t=10vcos30.........1

Q: Simpson's 3/8 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 3rd…

A: Simpson 3/8th rule for integration is approximately appropriate for polynomial of degree 3 or less.…

Q: In fluid dynamics it is common to describe quantities that vary both with location (x, y, z) and…

A: The given data is: q=f(x,y,z,t) DqDt=∂q∂t+V→∇→q

Q: Given matrix M below, [sin² A sin A cos A M sin? B sin B cos B Co Lsin? C sin C cos C CO Show that…

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Q: Find the determinant of the given matrix below. 2 Y 0-1 -4 0 Z -Z -2Z

A: Answer 1 x - x3 + x5 Answer 2 |A|= 0

Q: 1. Derivatives differ from integrals by a. Derivative of a function represent the slope of the curve…

A: 1. (a) is the correct answer. Derivative represents slope of curve while integral represent area…

Q: For which variables is the differential equation below linear? (y? – 1) dx + x dy = 0; Select one: O…

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Q: Let L be the line with parametric equations x = 1−t y = −4 z = 4+t Find the shortest distance d…

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Q: If f(x) = 5 x² sin x, then what is the derivative of f(x) with respect to x?

A: f(x)=5x2 sinx f'(x)=5((Deriv of x2 * sinx)+(Deriv of sinx * x2)) f'(x)= 5(2x sinx + x2 cosx) f'(x)=…

Q: Given the matrix equation, solve for x and y. 1 1 3 2

A: Given Matrix1132xy=20

Q: Simpson's 1/3 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 2nd…

A: Asked: To choose the correct option corresponding to Simpson's 1/3 Rule.   Simpson's 1/3 Rule is a…

Q: 2. Find the derivative (dy/dx) of the following functions: h) y = 3x7 – 7x³ + 21x² i) y = (x² +…

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Q: (c) Determine the value of k if p(x) is a probability mass function. (6) = { KG-1) x= 3,4,5…

A: Detailed solution below in image formate. Hope it will help you. Good luck.

Q: Given log x-a, log y=b, 1og=C Find the value of log. ys

A: Hello dear this is the solution of your problem The answer is found to be Answer=8a+4c-3b For…

Q: 1. Write an example of a matrix multiplication that is undefined. 2. If the expression A x B is…

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Q: What is the integrating factor for the differential equation given below? y-ylnx = sin x a xe b. xe*…

A: Given data: Differential equation. y'-ylnx=sinx

Q: Answer the following using the sum and difference of two cubes. 1. 853+r2 2. 64a²+b3

A: X3+y3 = (x+y)(x2-xy+y2) x3-y3 = (x-y)(x2+xy+y2)     These are the formulas while we are factoring…

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform F(t) = {6, Ost 0) L{f(t)} =

A: Given data: ft=6,   0⩽t&lt;50,   t⩾5

Q: Suppose the determinant of a 3 x 3 matrix A is equal to 5. What is the determinant of -2A?

A:

Measuring site work, Excavation and Piling

Bid drawings typically include very little material about the precise requirements of site work operations, measuring site work and excavation work differs from measuring most other works on a construction project. The actual site work conditions are not provided and also the dimensions of the excavations are not known during the pre-construction phase. The precise measurement of the excavation and backfill of the earth material and topsoil is important for a contractor to decide upon the total cost required for the process. All the works should be carried out under OSHA (Occupational Safety and Health Administration) standards to ensure the safety of the workers.