4. How many solutions does the following system of equations have? x - 3y + z = 2 3x - 4y+ z =0 2y - z = 1

Q: y = – 1/1+ Vx 3

A: Here we will find the derivative,

Q: Use the four-step process to find f'(x) and then find f'(3), f'(4), and f'(6). f(x) = 14 x+8 f'(x) =...

A: Given :f(x)=14x+8

Q: lim,->a f (9 (x)) = f (lim,->a g (x)) O True if g is continuous O True if f is continuous

A:

Q: Jsechudu = 2tan" +C = tan (sinhu) +C

A:

Q: Solve 3y fip %3D dr 2x

A:

Q: 4) Determine if each of the following series is convergent or divergent. (a) En=1 n4" n-1 Inn (b) En...

A:

Q: Question 5 Find the value of df/dx at x = f(a). f(x) = x - 3x + 5; a = 5 1.

A:

Q: Find the limit of the function as x approaches 2 from the right. a. 2 b. -1 c. 5 d. 0

A: Given query is to find the Indicated limit.

Q: dx ax + b

A:

Q: Evaluate the integral 7sin^2(x)cos^2(x)dx, from 0 to pi/2

A:

Q: find the area of the region bounded by the graphs of. y=1-x^2 y=1-x dont forget to sketch.

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Q: (c) Deduce that Rn - A < D-a [f(b) – f(a)].

A:

Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

A:

Q: Rewrite the integral in the 5 other orders. Explain your answers. 2 4-y2 f(x, y, z) dz dy dx

A: The given integral is ∫x=0x=1∫y=2xy=2∫z=0z=4-y2fx,y,z dzdydx. The domain of integral is R=x,y,z: 0≤x...

Q: Find the equahon of the locus of a point equi distant from (-2,1,-2) and (2,-2, 3).

A: Given problem:- Find the equation of the locus of a point equidistant from (- 2, 1, - 2) and (2,-2, ...

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x...

A:

Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is ...

A: Given query is to find the the velocity using derivative, and velocity at different time.

Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x...

A:

Q: Evaluate the indefinite integral. 4 In(5 – x) dx

A:

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

A:

Q: 10) Determine whether the series converges or diverges 2" n! n"

A: The given series,  ∑n=1∞2nn!nn

Q: Evaluate the integral. Show all your work. dx (x² – 1)3/2

A: Given that: ∫dx(x2-1)3/2

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) You answered corr...

A: The given series,     ∑k=1∞4k+27k-1

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A:

Q: 4. Given that ai = 3, > ak = 1 1 and ) bk = 5, it follows that k=1 k=1 Σ Eak and > 2ak + bk k=2 k=1 ...

A:

Q: Show that h, G) = (x+ n) converges %3D x4り? pointwise fo fa)=1, VXE [I, ) ノ

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Q: Find the limit. est – 1 lim t-0 sin(t)

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Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal...

A: We need to choose correct options.

Q: 3) Does E-1 ati converge? 00

A:

Q: k V9k² +1]

A:

Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fxy.

A: Given:  Let fx, y=xy+x+x cos y To Find:  To determine fxy.    

Q: The table shows the position of a cyclist. t (seconds) 0|123 4 |5 s (meters) 0|15 10 17 25 (a) Find ...

A: Given query is to find the average velocity using the table.

Q: Use the difference an+1 a, to show that the sequence {n - 3"+∞ Sn=1 is strictly increasing or strict...

A: Calculus  mathematics sequence 

Q: Find the linearization at x = a. f(x) = 9x', a = 1 (Use symbolic notation and fractions where needed...

A: Given that: f(x)=9x3 , a=1

Q: 4. (D² + 4D + 5)y = 50x + 13e 3x

A:

Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

A:

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 7...

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Q: 14) Find the eccentricity, identify the conic, sketch the conic, labeling the vertices, foci, direct...

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Q: general

A: Please refer to the image below 

Q: V1+xl/n dx = n/ u/²(u- 1)"-1 du

A: We have to prove given integral function.

Q: neat and orderly manner. linear equations:

A: Find the general solution  (D4 -2D3+D2)y= 0      

Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

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Q: Maximize z = 8x + 2y subject to: x+y< 4 2x + y s 5 x2 0, y 20 The maximum is at (Give this answer as...

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Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

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Q: Show that the coefficients of the given differential equation are homogeneous and solve the give dif...

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Q: 4.3 in. 15. Higher Order Thinking A cake has two layers. Each layer is a regular hexagonal prism. A ...

A: Formulas: Area of a hexagon = B=12Pa. Where, P=Perimeter of the hexagon. a=Length of apothem.   Volu...

Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

A: Solution is given below:

Q: dx x² Vx² +9

A: Given that a integration of 1/(x2√x2+9). We know that Integration power rule is given  as - integrat...

Q: f(6 + h) – f(6) Find lim if f(x) = - 9x – 1. h→0 f(6 + h)-f(6) lim (Simplify your answer.) %3D

A: