5. By the Fundamental Theorem of Calculus (Newton-Leibnitz Theorem) √² + x² d VX evaluate

Q: An open box of maximum volume is to be made from a square piece of material, s- 12 inches on a side,…

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Q: 6. Determine if is con n=1 (3n-1)*

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Q: 1. Find the area bounded by a curve v? = 9 – x and the y – axis.

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Consider a triangle where A = 30°, a = 1.3 cm, and b = 1.3 cm. a b B A (Note that the triangle shown…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find dy/dx: solution in handwritten 1. y = , Vu du

A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

Q: { 2+y? if(x, y) # (0,0) if(x, y) = (0,0) xy 1. Given that f(x,y) Is f(x, y) continuous at (0,0)?…

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Q: Without eliminating the parameter t, find a Cartesian equation for the lin curve C, defined by the…

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Q: 4.0 mR/h = A. 0.004 R/h B. 0.04 R/h C. 400 R/h D. 4000 R/h

A: Problem statement is not given so considering unit conversion by given options.

Q: A rectangular solid (with a square base) has a surface area of 37.5 square centimeters. Find the…

A: We are given a rectangular solid with square base whose surface area is 37.5cm2. We have to find…

Q: Solve the system using Cramer's Rule. - 6z + 2y + 6z = – 14 - 3z - 4y + 5z = – 6 - 5z + 3y –2z = 1…

A: To solve the following system of equations bu using Cramer's…

Q: Figure A is transformed by the dilation D:(x, y) = (8x, 8y) to make figure B. Figure A is…

A: We can answer the question as below.

Q: Q1// Find the Area bounded by: x = -y2 and x = y - 2

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Q: State the inputs and outputs for arcsin (also stated as sin¹). Explain why the angles for this…

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Q: I. Evaluate the following integrals by substitution. Show your complete solution 1. S (3x + 5)12dx…

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Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Postal regulations require that for a rectangular package with a square base, the perimeter of the…

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Q: Figure (a) shows a vacant lot with an 80 ft frontage in a development. To estimate its area, we…

A: It is midpoint Riemann sum      here length of interval  △x=20

Q: -(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve…

A: given: r(t)=-5t2+3,t2-3t,ln15

Q: Rewrite cos(t+π/3) in terms of sin(t) and cos(t).

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Q: 95 Μ: Μα (2) Σ k = (0) Σ 23 . = k=1 115 « Σ 6k +4 = k=1 k=1 95

A: Given problem:-

Q: 2. Let f(x)=x-3x² a. Determine all x-values where f(x)=0 b. Fill in the table below with the…

A: This question can be solved using the concept of points of inflection.

Q: please

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Q: The diagonals of the square ABCD meet at X. Determine two ways to write BX using AB, BC, CD and DA.…

A: This question can be solved using the concept of triangle law of vector addition.

Q: Find all partial derivatives of w = x sin(yz) – z In(xy)

A: To find all the partial derivative.

Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

Q: A teacher has prepared 20 mathematic and 30 geometric and 25 physics questions for a test he can…

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

Q: determine which statement is true

A: Follow the procedure given below.

Q: A radar, using the polar coordinate system, detects that two airplanes are currently located at…

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Q: Find an equation of the tangent line to the graph of the function at the given poin y = x²ex - 2xex…

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Q: 4. A|-2,5 А = 2, B = 3 and the angle formed by A and B is 120°. Determine the unit vector in the…

A: Solving

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: 22. Differentiate. y = asinh x

A: Given,  y=xsinh x

Q: The u(x) that converts the equation below into an exact equation x\dy + (2x?e" + 1) = 0 ey + y) dx…

A: Let's find.

Q: Given yz = ln(x+ z), find dz and dz fie

A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x And c·f'=c·f' ; where c is…

Q: Determine the position function if the acceleration function is a(t) = 6sin t+5, the initial…

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Q: Find the sum 11-"+2.6"+1. (Hint: Use Geometric Series)

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Q: Refer to the graphics addendum (A). The impedance shown is connected in a O Red leg Delta…

A: The given diagram is a wye or star configuration. Impedance of a given configuration is calculated…

Q: Find all zeroes of f(x) = 4x² - A) --/1/201 B) 1 3x² - x. Check all that apply.

A: f(x)=4x4-3x2-xZeros:4x4-3x2-x=0x4x3-3x-1=0x4x3-4x2+4x2-4x+x-1=0x(4x2(x-1)+4x(x-1)+1(x-1))=0x(x-1)(4x…

Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

Q: Let f(x) = (7x² + 6x +9)/(3 - 4x²). The horizontal asymptote is given by y = ? Round your answer to…

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Q: consider the polar equation defined by r = 5 cos(2 sin 8), where s0< 2n. Determine the missing…

A: as points are already find π6,2.70    π3,-0.80    π2,-2.08  3π4,0.77                      π,5…

Q: 4. The function A(t) = 2000(1.)' represents the growth of algae in a pound after time t (in hours).…

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Q: x2 – 3x – 2 if x 4 f (x) = - (2x + 1

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Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: Problem 3. Solve [2*+2³ = 10 4* +4" = 68

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Q: Evaluate the integra 4 X - 5 /1

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Q: Find an approximate value of 8. [6x 6 x dx

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Q: Identify if the following three forces F, F2and F3 forms a state of equilibrium or not. Their…

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve