-1 Su(u² + 3)! du

Q: Find the limit, If it exists. x- 1 lim X---

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Q: Compute the area bounded by the cardioid r(0) =1– sin(0) on 0, Express your answer as a decimal…

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Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value.

A: Topic = Algebra x=3

Q: Indicate whether the given series converges or diverges. If it converges, find its sum. 00 17) E Wik…

A: Solved below

Q: If S; (x²-1)(2x-x*) dx can be resolved into A S+ B S f(x)dx + D S g(x)dx , then x²+x-2 lim, ° dx +…

A: Partial fractions: The fractions needed to decompose a rational equation are called partial…

Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is…

A: answer is in next step

Q: Given f"(x) = 7x – 3 and f'(-2) = -6 and f(-2) = 6. Find f(4) %3D |

A: Here we will find f(4),

Q: (2, 4) y = 2x ng a vertical element of area, he area of the shased region is gven by the integral

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Q: Evaluate the defınite integral. e? i +ej+t k)dt e? i + (e- - 1) j+1 k 7 e? - 1 i - (e- - 1) j+ 1 k 7…

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Q: Evaluate the limit 9х + 5 lim z+00 2r2 – 6x + 6

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Q: 850 b. 450

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: Find the indefinite integral. (Use C for the constant of integration.) cos(0) do 1

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Q: Disgraced my answers for step 2 or exercise b, plewse just answer all of the boxes; thank you!!

A: Please see the below picture for solution.

Q: x2 - 6x + 8 lim x--2+ x3 - 4x

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Q: help

A: We will solve the Differential equation.

Q: 2. Use suitable linearization to find the approximate value for the function at point P. f(x,y) (x-…

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Q: Q1: find dx of the following statement: a) y = cos? sec

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Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vtk NOTE: Enter your answer in terms of i, j, and k.…

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Q: Evaluate the limit using L'Hospital's rule 4* – 97 lim

A: Limit

Q: 1 dx X +x13

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Q: Type the correct answer in each box. Create a matrix for this linear system: (3x+2y+z D26 I-4y -11…

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Q: the comverg ence and divergene test 2n

A: To find the convergence of the series.

Q: Find the standard form of the equation of the hyperbola with the given characteristics vertices: (-…

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Q: Solve the system of differential equations.

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Q: 71 dt Find F (x) and F (-2). 14. Consider F(x) .Co 1+t5 EGO

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Q: 15x + 44 -5x + 84=26 then astructions: Rewrite each Systems of equatons as amatrix, perform cow…

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Q: 18. Find xV4x -3 dx 18. SxV4x - 3 dx

A: Use substitution to solve

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is the last two digits…

A: Permutation: Permutation:  The permutation is a method of arranging objects in a specific order.…

Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: y = xx, x=4, and y =0 Revolve the area of the shaded region about the line x = 4. Using circular…

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Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

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Q: Find the length of the curve. 9) The spiral r = 202, 0 s 0 s 2^/3

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Q: Consider f (x) = 5 cos (2x). Using the given function at xo 0, approximate f (2n/3) by making use of…

A: Let's find.

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: we are given the function f(x)=cos(x) and the interval -π3,π3.The function f(x) is continous on the…

Q: y = xx, x-4, and y =0 Revolve the area of the shaded region about the line x- 4. Using circular disk…

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Q: Set up and simplify the surface integral ∬S F dS where F(x,y,z) = 2xi + yzj - √y k and S is the part…

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Q: show

A: As per the guidelines we can solve 3 parts only.

Q: 3n° + 2n³ - 7 {a,}== 7n' + 3п +4

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Q: Problem 3. at a speed of 60 cm/s. Suppose the function g models the radius as a function of time t…

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Q: Find the slope of the polar curve at the indicated point. TT 7) r = 5 cos 30, 0 =

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Q: Find the constant a, such that the function is continuous on the entire real line. ( 2x², f(x) = if…

A: Given the function is f(x) = 2x2,if  x≥1ax-1,if  x<1

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 1 3n3 n…

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Q: Determine the area of the given region. y = x + sin x y 4 3

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Q: d) Use the right endpoint rule to approximate the area under the curve of f(x) = 4- x2 on [1,2]…

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Q: Ay (2, 4) y = 2x y = x2 2. Using a vertical element of area, the area of the shaded region is given…

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Q: Find the length of the curve. 8) The spiral = e20, 0 s 0 s Ti r

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Q: (d) lim Use the graph of the function f to decide whether the value of the given quantity exists. If…

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Q: Find the area of the surface obtained by rotating the curve of parametric equations T = 2 cos 0, y =…

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Q: 2. Find y ify=xIn (axt1)

A: We will find the derivative.