What is the remainder when the polynomial f(x) = 4x* – 3x³ + x? + 10x – 1 is divided by (x- 2). %3D

Q: 13. A and B are unit vectors with an angle of 45° between them. Calculate the value of A - 2B Round…

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Q: Question Given F(x) below, find F' (x). I o+2) di F(x) = Provide your answer below: F(x) = O…

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Q: Let B be the region in the first octant inside both x + y + z? = 1 and Vx2 + y² . Z. 3= a) Find the…

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Q: (h – 2) - 4 (i) lim 2h

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: Find the Integral. (Use C for the constant of Integration.) dx

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Q: how do you solve series and sequence questions? Explain in words.

A: Solution: for sequence and series , 1st you should know about the sequence Because sequence:…

Q: The temperature at o point (x, y) on a flat metal plate is given by 7x, y)- S6+ ), where Ts measured…

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Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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Q: Question Ris the region bounded by the functions f(x) = /3x - 1 and %3D g(x) = +2. Find the area A…

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Q: Find the first term and the common difference for the arithmetic sequence. Round approximations to…

A: Use formula of arithmetic progression

Q: find all numbers c that satisfy the conclusion of mean value theorem for the function f(x) = 2x^2+1…

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Q: x²(3 –4x)dx -4 318 338 358 378 None of the Above

A: Given: I=∫-4-1x23-4xdx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: 1+ VI (20) Evaluate the integral: -dx. VI

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Q: The graph of a function f is given. Use the graph to find the value f1 (3). Q 6-

A: For inverse function value of x and y get interchanged   Given f-1(x)=f-1(3) x = 3 , y = ? as  value…

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: ) Find extreme values of f(x, y, z) = x^2 + y^2 + z^2 subjected to the constraint x + 2y + 2z = 12…

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Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: z(0) - 2, y(0) 8.

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Q: the solid obtained by revolving the region bound ed by Find the volume OF about the X - axis the 2…

A: The region bounded by the x-axis, y=x2,x=0,x=2 is:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

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Q: Inx 1 13. lim,

A: We will find the limit.

Q: Solve the following equations system 0.17 – j0.2V, =1 - j0.2V, +(0.2+ j0.3)V, = j0.5 V,= 3.3333 +…

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Q: 6. the vorume formed by revolving about OY the area in the first quadrant bounded by y-4ax, y-D0,…

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Q: (a)5°C =? to Fahrenheit ​(b) 33°F=?to Celsius

A: Given linear equation y=5/9​(x−​32) Here x is in degrees and y is in Farhanheit

Q: Suppose that f and g are differentiable functions such that f (0) =2. f'(0) =-5. g (0) =- 3. and…

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Q: If f(z, y) = e" sin(4y) then: V f( – 1, 1) =

A: Given function is f(x, y) =e4xsin4y.  We have to find ∇f(1, -1 ). The vector differential operator ∇…

Q: Jx cos 3x dx Using Integration by parts, what should be the u and the dv? O u = xdx, dy = cos 3x Ou=…

A: Given : ∫xcos3xdx    To Find : Value of u and v in integration by-parts

Q: 3. use integr al test to determine given rerie s wheth er the is conver gent diverg ent . Or a. n=1

A: Given problem:-

Q: Let B be the region in the first octant inside both x? + y + z? = 1 and x² + y² . a) Find the triple…

A: Let's find given all triple integrals.

Q: 7. p =5+2/6 a. Resolve into factors: x-8(x-y) 1 b. Show that p° = 396/6 p° c. Find the value of p…

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

Q: -2 Evaluate dx ех

A: The objective of the question is evaluate the definite integral.

Q: 2tan 'x -x (-) 2x – sin 'x 02. lim, -1

A: Given limx→02tan-1x-x2x-sin-1xTo evaluate the limit:

Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Given; x + y = 5      ,    y = 0   ,  x = 0 Volume (V) = ? Rotated about y = 0

Q: (31) Use Newton's Method to make the second approximation r2 to the solution of 2e = ex. Take x1 =…

A: Leibnitz Rule of differentiation: ddx∫α(x)β(x) f(x,t) dt  = ∫α(x)β(x) d(f(x,t))dx dt +dβxdx f(x,βx)…

Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

Q: Solve and graph the inequality. Give answer in interval notation. -3< - 3x59 O A. (-1,3] O B. [-3,1]…

A: The correct answer for above question is

Q: Verify if y = 2eX + x - 1 solves v' = x -v |

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Q: [| 2ry dA; R = {(r, y) : 1 + y? < 9,y 2 0}

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Q: #Caleulate le' ter which es natural s oll exponentibel fuenebin/ sdou steps

A: We know that,  ∫eax dx =eaxa+C

Q: 5. Determine the series converges, if so, Find its cum. whe ther K-1 a. k 1

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Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(x) = 3x…

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Q: Please

A: We will solve the integration.

Q: Evaluate the indefinite integral foan 2 sin“ v cos vdv

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Q: 0.3 0. Use appropriate series to estimate |In(1+x') dx to 6 decimal place accuracy

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Q: Find the curl of the vector field F < ya?, xz°, zyš curl F = k || + +

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Q: z(u, v) and u = u(x, y, w), v = v(x, y, w), x = r(t), y = y(t), and w = w(t). The Let z = dz as…

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Q: The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

A: We can find the interval of convergence by using the ratio test .