Evaluate ||e+ dA where D is the triangle with vertices (0,0), (-2,4) and (8,4). D

Q: Find T(t) and N(t) at the given point. r(t) = 5 cos(t)i + 5 sin(t)j + tk; t = T()= NG) II

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Q: A company that produces cell phones has a cost function of C = 4x2 – 56x + 8972, where C is the cost…

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Q: ind the indefinite integral and check the result by differentiation. ep 1 Expand the integrand (5t-…

A: Given query is to find the value of the integral.

Q: Calculate the iterated integral. 6. x/2 (y + y2 cos(x)) dx dy Need Help? Read It Watch It

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Q: Write the complex number in standard form. (Simplify your answer completely.) 3 - -64

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

Q: After we review on how to solve system of linear equations using algebraic methods (substitution,…

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Q: COS X To check for the result, prove that CSC X+ 1- cos x xp Evaluate the lee cida nE the onuntion

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Q: 12) y- 3x+ 2x

A: We know that ddxxn = n·xn-1

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Q: 2. Let g (x) = x e. Let R be the region bounded by y a. Find the area of R. Show your work in…

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Q: 3. Write each quadrant bearing as an equivalent true bearing. a. S12°W b. N50°W

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Q: HA use the Ratio test to determine it the tollowing series Converyo absolately of diverges

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Q: Evaluate the integral 5х — 2 dx (x + 3)2

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Q: The equation z = 1+r² in cylindrical coordinates represents Select one: O a paraboloid O a circle O…

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Q: Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

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Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

A: Given ∫(2x+6)x2-2x+17dxTo evaluate integral:

Q: 6. Given i [2, – 5]and i [- 7,2] find %3D а. 5 - b. i C.

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Q: Find the derivative of the function. 3 In (x +8) 5-5x O A. dy %3D dx (x + 8)(5 – 5x)? О в. dy 15 -…

A: Given query is to find the derivative of the expression.

Q: Use the Divergence Theorem to evaluate F.N ds and find the outward flux of F through the surface of…

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Q: 5. Determine the values of x for which the function is continuous. x + 5 x² – 5x + 4 3x +1 2x2 – 8x…

A: a. fx=x+5x2-5x+4b. fx=x4-x2c. fx=3x+12x2-8x Note:     Multiple parts are given, we are answer only…

Q: A small radio transmitter broadcasts in a 25 mile radius. If you drive along a straight line from a…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. (for saddle points,…

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Q: 5. Determine the values of x for which the function is continuous. 3r +1 e. f(x)= /x – 3 2- 8 4x d.…

A: The function √(x-a) is continuous iff x>=a The function 1/(x-a) is continuous iff x≠a

Q: Consider the function f(x) 2x2 + 4x – 7. f(x) has a critical point at a = A. Find the value of A: A…

A: We have to find critical point

Q: dy Assume x and y are functions of t. Evaluate for the following. dt dx y = 2x* + 81; = 2x + 81; =…

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Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x² + 2)(x² + 1)2

A: ∫xdx(x2+2)(x2+1)2Substitute u=x22→dudx=x→dx=1xdu=12∫1(u+1)(2u+1)2duPerform partial fraction…

Q: Question A4 Let the curve C: f (x) = x³ + 6x² – 15x + 8. Find the value(s) of m for which the line y…

A: Given problem:- Let the curve C: f(x)=x3 +6x2 -15x+8. Find the value(s) of m for which the line y =…

Q: х2 — Зх — 7 dx (x2 + х + 2)(2х— 1)

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Q: (b) For the case a = 3, b = 4, and for the constant vector field F(x,y,z) = 4 1 + k , find the flux…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: the bot test to determine it the use tollowing series converges or diverges

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Q: Use the acidity model pH = -log[H*], where acidity (pH) is a measure of the hydrogen ion…

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Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Find three positive numbers whose sum is 260 and whose product is a maximum. (Enter your answers as…

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Q: | 3t³ (t² + 4)5dt

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Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Given query is to find the value of the integral.

Q: Set up the definite integral required to find the area of the region between the graph of y = 15x +…

A: here i am giving my handwritten solution.

Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: Find the derivative of the function. g(t) = e−6/t4

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Q: A company estimates that it can sell 2,000 units each month of its product if it prices each unit at…

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Q: The sales of a new high-tech item (in thousands) are given by S(t) = 94 - 90 e-0.2t where t…

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

Q: Evaluate the integral (Partial Fraction Decompo! X + 4 J (x2 + 2)(x² + 1):

A: Evaluate indefinite integral.

Q: Find the flux of F across S, F.N dS where N is the upward unit normal vector to S. F(x, y, z) = xi +…

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Q: Set up the definite integral required to find the area of the region between the graph of y = x y =…

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Q: 18 of 19 50 where T<0< 4r as shown in the diagram A rubber ball is being spun in a outward spiral in…

A: Let's find.

Q: Evaluate the integral (Partial Fraction Decomposition) xdx (x² + 2)(x² + 1)²

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Q: 1.) Determine the largest interval over which the function flx) = \x+3 is continuous. 2x 2.)…

A: 1) To find the largest interval on which the function f(x)=x+3 is conitnous.

Q: Sketch the region enclosed by x + y = 42 and x + y = 0. a) Favoring convenience, should you…

A: Given; x+y^2=42 , x+y=0

Q: dy Given the equation below, find dx 39x + 10ay + y° – 28 = -

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