- TT V(s) ³3² В where s denotes the length of the edge of the cube. Find ß. = $3

Q: Given the ODE: dy dt - --(t-1) cos(y). 4(0)-3 Estimate y(1) using midpoint method, h=0.5. Present…

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Q: Use summation properties and formulas to rewrite and evaluate the sum. [(31)²-41] i=1 Next Submit…

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: Differentiate the following. Do Not Simplify. y=(sinx)(lnx)_ b) y=(e³+√cos x) c) y = º /1—tanx 3x³…

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Q: Determine whether the function is differentiable, continuous, both, or neither at the value where…

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Q: Use the graph of the function to estimate the intervals on which the function is increasing or…

A: We can answer the questions in the following steps.

Q: Find F as a function of x and evaluate it at x = 0, x = 7/3, and x = 7T/2. F(x) = F(x) = F(0) = (7)…

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Q: etermine whether the following relation represents y as a function of -4 -3 -2 -1 y 1 -1 -2 2 3 1 2…

A: Topic:- function      Definition :- The domain is the set of all the input values of a function and…

Q: y=x5, mn=-1/80

A: Given problem:- Find the equation of the line normal to a given curve y=x5 and having a given slope…

Q: lve y' = 14xy – 2x, y(0) = 11 x) =

A: Topic:- application of integration

Q: y=x4Inx

A: Topic = Derivative

Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

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Q: Explain how the fundamental theorem of calculus relates integrals and derivatives. Formats T B T U…

A: Fundamental theorem of calculus relates integrals and derivatives.

Q: Evaluate the integral: J22 SVA-2 01- [] π [] +C dydz 4-2² e² +²

A: double integration using polar form

Q: Obtain the General Solution of the following differential equations. 1. x²y y' = ey 2. (xy + x)dx =…

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Q: The area of the région bounded by the curves f(x) = x² + 1 and g(x) = 2x + 1 is best described by:…

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Q: 3. Given the vectors a, b, and c, show how to construct the following vectors using the triangle law…

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Q: You have an investment of $22,400.00 that you want to double in 11 years. If interest is compounded…

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Q: .Use interval notation to determine where f(x)>6.

A: We have to find the intervals when f(x)>6.

Q: -10 -5 f(x) 10 10 5 10

A: Note: Since the student has posted 2 sub-parts of the question in which the part (1) is complete and…

Q: dv/du = (u — v)² — 2(u - v) - 2.

A: Here, the given DE is: dvdu=(u-v)2-2(u-v)-2...(1) Substitute u-v=p differentiating it with respect…

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Q: .find g(-4),g(-2),g(0),g(2) and g(4). 2. find the domain and range of g. (Use interval notation)…

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Q: Solve the differential equation [cos (2y) — 3x²y²] dx + [cos (2y) - 2x sin (2y) - 2x³y] dy - a. sin…

A: Given: cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0

Q: Find the following using the table below. X 1 2 3 4 2 f(x) 3 4 1 ƒ'(x) 2 1 4 3 g(x) 1 4 3 2 g'(x) 1…

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Q: Find the slope of the tangent line to the curve − 3x² + 2xy − 4y³ at the point (4, 1). - 44

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Q: Find the exact area of the region bounded by 2y = 4√√x, y = 4, and 2y + 2x = 6

A: Here we have to find the area of the region.

Q: y 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6 X

A: We can find the Domain and Range of the function.

Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: Observe the given graph and answer the each part.

Q: 2) The region in the first quadrant bounded by y = x y = 2. Calculate the volume using the shell's…

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Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

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Q: 1 √3x²√x² + 1dx Calculate: -1

A: Concept: Integration: The term "integration" refers to the addition of discrete data. The integral…

Q: Evaluate the integral: 224-25 dyda 2₂ 2 [1-4] 02[1-4] +0 0.[4] 4π [+¹]

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Q: Answer A, B,C using the CALCULUS METHOD ONLY

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Q: 9. Given vectors = [3,-6,8] and v= [4,-2,-5], determine uxv.

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Q: X 2 Find x² +1 -dx

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Q: help

A: Acute angle are measured from 0 to π/2

Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

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Q: Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you…

A: Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you…

Q: f(x) ax² + B where x denotes the length of one side. Find a + ß. Your answer

A: We have given  fx=αx2+βx Put x=1 in fx f1=α12+β1 f1=α+β So, α+β=f1

Q: U V U a) f(x) = sin x The trigonometric function pictured here is b) f(x) = csc x O c) f(x) = sec x…

A: we need to find which trigonometry function has the following graph

Q: -4 -3 -2 -1 у 1 -1 -2 1 2 3 X

A: We can find the answer in the following steps.

Q: Find the area of the surface. The part of the plane 3x+2y+z=6 that lies inside the cylinder x² + y²…

A: Since, the equation of the cylinder is x2+y2=4 and  3x+2y+z=6⇒z=6-3x-2yParameterize the surface of…

Q: Find the extrelne values of the function f(x,y)=4x2+ 7y2, on the circle x² + y²=1.

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Q: 3 Compute the rotated area bounded by x = y, x = 8 and x-axis about y-axis

A: Please note that as mentioned only the last question is solved.

Q: For the function y = f(x) = 3x³ – 10: df dx a. Find ƒ'( − 2) b. Find a formula for x = f-1(y).…

A: NOTE- "Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Proceed to What I Know Chart for this part. 4) Activity 5: Check for Understanding (10 mins) ad of…

A: To verify if y=e-3x is a solution of given differential equation or not.

Q: 04115

A: