Question Define R as the region bounded by the functions f(x) = 2x and g(x) = 1 between x = 1 and 2 = 2. If R is rotated around the z-axis, what is the volume of the resulting solid? Submit an exact answer in terms of . Provide your answer below: V= units

Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

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Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: B. by factoring 1. x² + 7x = 0 2. m² + 8m = -16 3. x2 + 5x − 14 = 0 4. 2y2 +8y - 10=0

A: Topic = Quadratic equation As per guidelines , At a time only three sub-parts can be answered.…

Q: (C) Find the domain and range of: 1) y = x+1 . 2)y=v1-x²,3)y = x² - 2

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Q: lim 14x 2 ²-1

A: Find the limit of the following limx→11x-1-2x2-1=?

Q: Determine r'(x) if r(x) = (4*)6. Select the correct answer below: Or'(x) = 6(4*) 5 Or'(x) = 46x (4ln…

A: Solve the following

Q: f(2cot 2x² - 2e²) dx

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Q: 1. Find the DE of all straight lines with slope and y-intercept equal.

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Q: Find the area of the parallelogram whose diagonals are represented by the vectors a =(3,-3,1) and b…

A: See this solution in below

Q: day 2x + 5x dx4 dy 3 dx' - xy = 0

A: To write down the degree and order of the differential equation.

Q: 020) In H.G., if AABC~ AA'B'C' (similar)and AB-12, BC=14, AC=16. Then the perimeter of AA'B'C' is:…

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Q: C. Find the DE of a family of circles with center at (1, -2). Hint: Equation of circle with center…

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Q: Prove that B(x+1, y ) + B (x₂y +1) = B(x,y) let M(x+1)= X(X)

A: Here is the solution:

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Q: To find the root of the equation x² - 3 = 0 using the fixed point method in [1,2], one of the…

A: Find the root of equation x^2-3=0 Using fixed point method

Q: QY == Given f(x) = (hog|(x), and f(1) = 2/'`(1) 9 (²) = g(1) f = - Find (gof) (1) in simplest form :

A: Given- Given fx = h∘gx, and f1 = 2f'1 = g1 = -g'1 To find- Find g∘f'1 in simplest form.

Q: Let f(x) (fg)(x) = 2x + 4 and g(x) = 5x2 + 5x. After simplifying,

A: 1)f(x)=2x+4 and g(x)=5x2+5x 2)f(x)=x2-7x and g(x)=x+15

Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q3) (E.G.) If BAC is an angle such that B=(1,2,3) and E=(2,1,3) are belonging to one side of the…

A: According to the Bartleby guidelines, I'm answering the first question for you. Please re-post the…

Q: f(t) = 2 2 (3 cos 6t-5 sin 6t)

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

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Q: Find a parameterization for the curve shown in the figure below. r(t) where = -1 140 <t<

A: This equation can be solved by applying the concept of equation of line joining two points in two…

Q: 41. How close to -3 do we have to take x so that 1 (x + 3)4 > 10,000

A: See this solution in below.

Q: Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E, F, G,H…

A: We have to find the relationship between area of 4 part of quadrilateral.

Q: Q4: Solve the following integrals:- dx ³-2x² (1) dx (2) √ √2√9-1² (3) fx² sinxdx (cos-14x)² 1-16x²…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: 4. 2y2 +8y - 10= 0

A: Given problem:- 4.   2y2+8y-10=0

Q: 2. f(t) = √t+ ³√√t

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Q: x→a f(x) lim f(x) = x→a+ Olim f(x) = -8 implies that lim f(x) = - 8. x→a x→a+ lim f(x) = Ha Olim…

A: we will do as per the question.

Q: A company produces a special new type of TV. The company has fixed costs of $497,000, and it costs…

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Q: -1 Using Doolittles method for the following matrix A = 0 L-2 L- matrix and U - matrix. 2 11 86 0 51…

A: Given, A=-121086-205

Q: ZSM-5, a catalyst material, has a surface area of 425 m³/g. What is the surface area of this…

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Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: 3.44 3. Test for homogeneity f (x, y) tanx-sec²x - cosy

A: Question : Test for the homogeneity f(x, y) = tanx - sec²x - cosy

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Q: Refer to the images, then Choose all descriptions that apply of how the tank filling on Tuesday…

A: Given information Function for Monday:- Mx = 5 x3 Graph is   Function for Monday:- Tx = 5 x-153…

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Q: 8. (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5…

A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D&lt;0so, this quadratic…

Q: 9. (a) Use a graph to find a number 8 such that 1 In(x - 1) (b) What limit does part (a) suggest is…

A: We need to use the graphing utility to find the value of 'δ', to satisfy the following condition,…

Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

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Q: Express the function in the form fog. (Use non-identity functions for f and g.) G(x) = {f(x), g(x)}…

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Q: 3. Using the following table, find the average rate of change from x = 2 to 11 X f(x) -1 -4 2 4 4 8…

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Q: 4. f(u) = 3u² +2u-6, g(x) = x + 2 5. f(u)=u², g(x)=x²-₁ Find the indicated composite function 6. f(x…

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Q: You borrowed money and need to pay interest on the loan. You must pay 5% of the $6700 loan to remain…

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Q: 1. Perform the indicated operation and 2+3i (1) 4-2i a. 2 b. (- 1 + √√-3) (1)

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Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan²x, when x →0. Using the Sandwich…

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Q: Using continuity, evaluate the limit: - 1 sin(z + sin(x)) lim X→ -

A: Topic- Limits

Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

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Q: Parameterize the line through P = (–2, 2) and Q = (5, 6) so that the points P and the parameter…

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Q: f(x) (b) 1 x + 3 lim f(x) X-3+ -4 -2 2 -2 -4 2 X Determine whether f(x) approaches ∞ or -∞o as x…

A: This question is based on left hand limit and right hand limit.