3) Find an equation for the tangent line to the graph at the specified value of x. y=x²V5-x² ,x=1

Q: Determine the radius and interval of convergence of the following power series. The radius of…

A:

Q: n = 1 Vn lim n-00 converges O diverges

A:

Q: long

A: We will use long division method.

Q: Calculus The sales in thousands of a new type of product are given by S(t)= 260-90e-0.2t, where t…

A: Topic:- application of derivatives

Q: 3. Check Euler's Theorem for the function f(x, y) = x + y3 + 3xy2.

A: Euler's Theorem for the function :          x∂f∂x+y∂f∂y = n.f(x,y) ; where , 'n' is the degree of…

Q: F(x) = e2x C = 0

A:

Q: Find div F and curl F if F(x, y, z) = 9e"Y i – 2 cos yj+ 7 sin? z k. div F= curl F=

A:

Q: | 5f(x)dr c f(r)dx if c =

A: Given :∫725f(x)dx=c∫27f(x)dx

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

A:

Q: A. (, 글) %3 ( B. (- , -) =(

A: We will find the coordinates in polar form.

Q: Fit a second degree parabola y = ax² + bx + c to the following data %3D 3. y 1.8 1.3 2.5 6.3

A: Normal equations associated with y=ax2+bx+c are: ∑y = a∑x2+b∑x+nc ∑xy=a∑x3+b∑x2+c∑x…

Q: Sy³/y² + 9dy

A: ∫ y3y2+9dyLet u=y2+9=∫u2-9u2du=∫ u4-9u2du=∫ u4du-∫ 9u2du=u55-3u3Substitute back…

Q: 33) Find tue ared ef tue Serface formed by revolving thecirele r= f10) = 10 C6s Q f10) =10 Cos Q…

A:

Q: 2. Find y ify=xIn (axt1)

A: We will find the derivative.

Q: completely

A: We will solve the integration.

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

A: We use circular ring method.

Q: Find the differential dy: y = sin(av). dy = " cos (av) [2v + a+i In a (1 + Ina p + x!+ In ¤ (1+ ln…

A:

Q: Find the limit. If the limit does not exist, type DNE. lim (1,9) →(-4, -2) 32 – 5zy =

A:

Q: Problem 4. The third term of a geometric sequence is 9, and the common ratio is 2 Find the fifth…

A: Given :3rd tern of GP is 9common ratio=32

Q: .5 2. 2. dx =D dx- (6+z*) o o (x²+9)½ 's (x²+9)½

A:

Q: alculate the Laplace transform of each of the followir a. 7t b. e' sin(t) c. u(t - 3)e2

A: We can  solve 2 problems only.

Q: 5 2 dr = dr- 0 (x²+9)½ /(6+zx) 0, 's (x²+9)½ * A) True B False

A:

Q: y = xx, x-4, nd y =0 Revolve the area of the shaded region about the line x-4. Using circular disk…

A: Given  y=x√x=x^(3/2) X=4 and y=0  Now volume of solid evaluated as  V=integration 0 to 4…

Q: Convert the following parametric curve into Cartesian form: * = 3 sin t, y = 4 sin t None of these.…

A:

Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

A:

Q: S V25 – 4x²

A: For the solution follow the next step.

Q: Given f"(x) = 7x – 3 and f'(-2) = -6 and f(-2) = 6. Find f(4) %3D |

A: Here we will find f(4),

Q: Csin $ 3 y cos*3 ychy

A:

Q: 4) Find all values in the interval [-27,27]at which the graph of f has a horizontal tangent line.…

A: topic- functions and derivatives

Q: Find the nth term of the arithmetic sequence (a wh a, = 4; d = What is the nth term of the…

A:

Q: Explain why the integral is improper. 18 .6 1.4 1.2 y F0.8 F0.6 F0.4 F0.2 -2 -1.5 -1 -0.5 At least…

A:

Q: Find r'(t). r(t) = (tan-(7t))i+t cos(t)j – Vēk

A:

Q: Consider the function f(x) = 5 – 4x² , – 4 < x < 2. - The absolute maximum value is and this occurs…

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Q: Verify that the conclusion of Clairaut's theorem holds, that is, u, Uxy = "yx' u = x'y8 – y? With u…

A:

Q: 2)

A:

Q: S V9x² + 64

A:

Q: dy 1- y}

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

Q: 1 If x= tand , then dr coso do . (1+x²) ½° A True B False

A:

Q: Find div F and curl F if F(r, y, z) = xz°i+ 2y°x²j+ 6z²yk div F= 2° + 16 y' x + 12 z Y curl F=

A: Given F(x,y,z)=xz6i+2y8x2j+6z2ykTo find div F &amp; curl F:

Q: Cosx dx Vi+sinx

A: Given :∫cosx1+sinxdx

Q: ) Find an equetionof tue tenyent line to the greph of d= In(x') at the point (l,0). Angwery8 a) y*-5…

A:

Q: estion 6 of 10 w Policies rent Attempt in Progress Find V (V × F) if F(x, y, z) = 8 sin xi + 3…

A: We know divergence of curl of any vector function is zero.

Q: S tan -1x dx

A: Solution is done in step 2

Q: The radius of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of change…

A: We can find the answer as below using the given data.

Q: iF Zz fexiy) where R= ě- ě Gud ge ě- ě show That!- +y5= (e-ぎ)( - 24

A:

Q: dy 5. Vy -1

A:

Q: the comverg ence and divergene test 2n

A: To find the convergence of the series.

Q: Given sin 0=- determine all possible values of 0 over the interval [-2n, 2n]. 2'

A: Given query is to find the value of the Indicated angle.

Q: Write the equations in cylindrical coordinates. (a) 3x² – 6x + 3y2 + z² = 5 z = 7x2 – 7y2

A:

Q: 3. (D² + 1)y = sec² x tan x. %3D

A: