Find d [f₁z²dA where R = {(x, y) | 36x² +16y² ≤ 576}

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Q: Let f(x) = { 2x-3. 3x²+2, if x < 3 if x ≥ 3 be a piecewise function. Evaluate Sof 0 f(x)dx=

A: We can find the integration of the piecewise function as below.

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A: Solutions

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A: To evaluate the line integral of given vector field over the curve C.

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Q: 4 S X -1 sin x dx

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Q: Find the value of ff xye**y dxdy (solve) (yeye)(xex - e*) Option 2 O yev (xe* -ex) Option 1 (yeyev)…

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Q: If v=3i+2j+ k,w=3i+ 4k and the angle between v and w is 90, find v.w (solve)

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Q: Let à = (4, — 5, — 4) and 6 = (2, — 5, 0). Find a - b

A: Let a =&lt; a1,a2, a3 &gt; b = &lt; b1, b2, b3&gt;  Then,  a.b = a1b1 + a2b2 a3b3

Q: Let f(x) = be a piecewise function. Evaluate So fo f(x)dx= 3x²+2, 2x - 3, if x < 2 if x ≥ 2

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Q: Approximate the area under the curve y = x² from a = 3 to x = 6 using a Right Endpoint approximation…

A: Follow the procedure given below.

Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

A: We can find the area of the bounded by the given curves.

Q: 4 Determine -2 u tv and Give a is i and v и So Keat orthogonal to ²-5²³ lutô| = |a²|+12²1…

A: Given the vectors u+v and u-v are orthogonal and  u+v=u+v To find u and v .

Q: Let a =(4, 1, 5) and 6 = (2, -5,5). Find the angle between the vector (in radians)

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Q: Differentiate the function 3 H(x) = (xx+x¹) ³ H'(x) =

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Q: B) Find the interval of convergence for the series n=0 xn √n² +3

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Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

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Q: ¹(²+1) 3 lim (x + 1) sin( 24x

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Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) Option 3 O Option 4 O…

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Q: Which of the following is a unit vector parallel to the vector ? Select one: 2 0 8 1 4 <- 81¹ 81¹…

A: Let's solve.

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A: We have to solve above question and find sin cos and tan value

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Q: Let f be a function given in the graph below. Note that the domain of f is [-3, 4]. a) Does f have…

A: Given the graph of a function. To determine whether the function has an inverse on the given…

Q: The derivative of a^u with respect to x is

A: Aim:- To calculate : ddx(au)

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Q: 2 y=0x=y f(x,y) dxdy =

A: Solution given below

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A: answer is in next step . please give a like !!

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Q: Consider the function f(x)=√1-x+6 for the d 1 Find f(x), where f¹ is the inverse off. Also state the…

A: We have to find solutions

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Q: Find the general solution of the following differential equation. 81y" - 4y = 0 NOTE: Use c₁ and ca…

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Q: Let A(t)=15(0.8)^0.2t (in milligrams) be the amount of drug in a patients body at time where t is…

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Q: Find the Maclaurin series of co E cos(x³). n=0

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Q: the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter your…

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Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) (4,5) Option 3 O (√2,75)…

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Q: Set e кад dx

A: To solve the following problem

Q: - [² Suppose F(x)= = sin(t) dt. Use the Fundamental of Theorem of Calculus to calculate - (F(x³)).…

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Q: Problem 3 Find a curve in the xy-plane passing through the point (1, 3) and for which the normal…

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Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. 3 f(x) = (5x…

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Q: Define f by f(x,y) = ["h(t) where h is some continuous function of one variable such that h(0) h(1)…

A: We have to solve above question.

Q: Question 1 Let a = 2i − 3j + 2k and b = i − 2j – k. - Determine whether the vectors a a) and b are…

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Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1, 2, -2) are the three points in a 3D coordinates system. a)…

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Q: an = arn+1 an = arn-1 * The general term of geometric progress Option 4 O Option 1 an=arn a" = arn-1…

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Q: an = arn+1 an arn-1 Option 4 The general term of geometric progression is an=arn a" = arn-1 Option 3

A: Topic = Series

Q: The ordering and transportation cost C for components used in a manufacturing process is…

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