Find the critical numbers of the function. x – 1 | f(x) : x² + 4

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 9…

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Q: Verify that if c is a constant, then the following piecewise-defined function satisfies the…

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Q: integral over the given region R. R: -4<x54, 0sys

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Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). F(x, y, z) = (x +…

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Q: 4. Find the number of surjections from {1, 2,..., m} to {1, 2, ... , n} such that no element in the…

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Q: working

A: We have to find the following conditions according to the given information

Q: 3. Find the period and amplitude of: y = 4 +cos (*) COS

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Q: A B C D E F 1. x2 + 4y? + 9z? = 1 2. 9x? + 4y + z? 1 3. x? – y? + z? = 1 4. –x? + y – z? = 1

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Q: -37 dx

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Q: Hiwin If Z=R Cxxy)and u=x-y V=x-y show that %3D

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Q: Problem 3 If the nth partial sum of a series E1 an is п— 1 Sn n+1 find an and E=1an.

A: The given data is: Sn=n-1n+1  To find the value of an and ∑n=1∞an.

Q: The integral 5x – y dA =49 if R R={(x,y): 2<x< 4, 5< y < 6 } Select one: O True O False

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Q: Find the average height of the paraboloid z =X+y¯ over the square 0sxS1,0sys1. The average height…

A: Given problem:- Find the average height of the paraboloid z =x2+ y2 over the square 0≤x≤ 1, 0≤ y≤ 1

Q: How much work is done by gravity in causing a 45-kg rock to tumble 54 m down a slope at an angle of…

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Q: Find the derivative, r'(t), of the vector function. r(t) = cos?(at) i + tebtj + s²(at)i sin?(ct) k…

A: Given that       r(t)=cos2(at)i + tebtj + sin2(ct)k

Q: Find the gradient of the function at the given point. In(x2 - Y) - 9, (3, 8) Vz(3, 8) =

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Q: * f(x) = x —х+ sin(x) — 1 Solve this question by the Bisection method on the topic of solution of

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Q: 2x²+5x 3<0 1 Add file 16) Use the position function below to solve the following problem. A…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x = sin(t/2), y = sin(t)

A: answer is in next step

Q: Must the values be ordered from smallest to largest for the method to findNewton polynomials to…

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Q: Given the function f(x) = +x evaluate the following information a) Find the critical points of this…

A: As per the company's guidelines, we are supposed to solve the first three subparts for you, kindly…

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

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Q: S歳の 4 d Px 3 2Px

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Q: 5. n=3

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Q: The velocity of an object is given by the velocity function v(t) = t/42. If the object is at the…

A: Given query is to find the the position at t = 20.

Q: 7 p(x) = iven the expression Vy7 – 2 this mathematical expression stated correctly.

A: Given query is to find expression is correct or not.

Q: x² +1 4. хе'dy+ +In |x=c Separate the variables and ans: e'(y-1)+ y 5. 2xy dy 1 dx y? = x? +c 3…

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Q: A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation…

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Q: f(x) = x – cos(x) Solve this question by the Newton-Raphson method

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Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. sinh(x) lim…

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Q: Solve: y" + 4y" + 29y' = 0 O y = C1 + C2e5ª cos2x + C3e5" sin2x -2а O y = C1 + C2e¬2ª cos5x + C3e¬2®…

A: Find your answer below

Q: Find f if f'(x)=2cosx+3x^2 +5/1+x^2 and f(0)=-1

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Q: For what value of x does the function f(x) =x³ 4x attain the absolute minimum %3D in the interval…

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Q: 3 f(x) =x° – cos(x) Solve this question by the Fixed-point method on the topic of solution of…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (12,…

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Q: 1. The sum of two positive numbers is 42. Find these numbers if their product is a maximum. 2. The…

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Q: 5. y= log, vx´ +

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: 5. Determine the inverse Laplace trans- form of the given function. 7s2 - 41s + 84 (b) (s – 1)(s2 –…

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Q: Evaluate So (ti + r*j+r°k)dt = i+ j+ k.

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Q: Differentiate the function y = -5e0.

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Q: 6. Solve the following equations for the unknown: i) 4 3n = 32 ii) log2(y +1) + log:(y– 1) = 3 iii)…

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Q: 2. Sketch and identify the graph of the equation a + y? – 2y –- 3 = 0 in 3D.

A: x2+y2-2y-3=0x2+y2-2y+1-4=0x2+(y-1)2=4The equation represents circle in 2D,but a cylinder of radius 2…

Q: 2. Simplify the following: 2 (m²)? ii) (62n* 1 ) ( 9 2n) (35+1 ) (2 2) i) ii) (2m³) 2 (3m) 2

A: Topic:- simplification

Q: In 31 In y Evaluate the integral ex+y dx dy. 1

A: I am attaching image so that you understand each and every step.

Q: 20.11. For each of the following, state the appropriate guess for the form for a particular solution…

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A: Given, 107+6r +7500= 121000 Simplifying the above equation we have, 107+6r = 113500

Q: 1 4 9 16 25 0, 2'3'4' - 5' 6 an Enter your answer here Or write it out and upload: Please select…

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Q: 2) Use Green's Theorem to compute f F df where F=(3x + 4y)i + 2xyj and C is the triangular path from…

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Q: Find the integration 3x2 - 8x +13 xp. x3 + x2 -5x + 13

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Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.…

A: Formula used:logan=nlogalogab=log(a)-log(b)loga.b=log(a)+log(b)