А. Σ 5n –1 n=1

Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) 5- 4 3 2 -1 -1 12 4 ...

A: From the given graph we can observe that it is rational function.The zero of the function is at x=1A...

Q: nd Solve:- 8: Chassify -3x dy + (3X+リ』 = e ノス

A: Given: - The differential equation is, xdydx+(3x+1)y=e-3x To solve: - The solution of the given equa...

Q: A given partial fraction Cx +D x² +1 2x A + X+4 (x-1)(x+4)(x² +1) X-a A can be evaluated as: O 15 2/...

A: Given that partial fraction 2xx-1x+4x2+1=Ax-1+Bx+4+Cx+Dx2+1To find : value of ASolution:2xx-1x+4x2+1...

Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = V x8 + 5 y'(x) = %...

A:

Q: u = (5, 5) v = (7, 1) %3D

A: Given : u=<5, 5> v=<7, 1>

Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: sin(In r) 5. Use the Squeeze Theorem to evaluate lim 1-40+ In (sin z)*

A: Solution is given below:

Q: Express lim E=1 Ax ||PI0 as a definite integral where P is a partition of [0,2]. k%3D1

A:

Q: Find the Maclaurin series of the function f(x) = 9x³3 – 10a? – 3x + 10. f(x) = > Cnx" n=0 Determine ...

A: Let's find. 

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 8n + n n...

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Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4  

Q: 3. Design a rectangular R.C.C. beam using the following data: Beam span is 30' ft; f, = 60 ksi, f'̟ ...

A: Find your answer below 

Q: - 16 if x 5 Determine if the function g(x) = VX + 4 %3D 5 - x a) x = -4 b) x = 5

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Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: (1) d?y + 2y = 0 y(0) = 3; dy (at x = 0) = 2 dx? dp, dx d2v dy ....

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Q: St Joseph's church has a fund-raising valentine's dinner  to renovate their church.   Their account...

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Q: Case 3: non-repeate quadratic factor (x²-x-21) Example 1: S 2x3-x2+8x-4

A: Given

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x ...

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4    

Q: For the given function f(x,y)=x<y3+3x³y, find a flay O 2xy³+9x² y • 3x3y2+3x3 6xy2+9x2 O 2+18xy

A:

Q: What is the second derivative of y = 6x+ – 3x³ + x2 – 5 a. y" = 24x3 – 9x2 + 2x b. y" = 144 C. y" = ...

A: As per guidelines we will solve only  the first question  in the following step. If you want more an...

Q: Find the interval of convergence of 5 (x - 8)" In (9n) n=2 (Use symbolic notation and fractions wher...

A: Radius of convergence of a series of the form ∑n=0∞an(x-a)n is given  by R=limn→∞anan+1and then inte...

Q: rior to the circle Find transformation which maps outside| z | = 1, on the half plane R (w) 2 0 %3D ...

A: Given transformation which maps outside z=1 on the half plane 

Q: cot a 1. lim -0- CSC 3 2. lim e2r - 4 3. lim ln 2 r - ln 2

A: To evaualte the following limits by L'Hospital's rule. 1 limx→0- 1-cot xcsc x2 limx→+∞ 1-3x2x3 limx→...

Q: - Apply the eigenvalue method to find the general solution of the given system. Find also the corres...

A: Find your answer below 

Q: A ladder 20 feet long is placed against a wall. The foot of the ladder begins to slide away from the...

A:

Q: Write a chain rule formula for the following derivative. aw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: Write the first five terms of the recursively defined sequence. a1 =6, ak+ 1 %3D %3D a2 = 23 = a4 a5...

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Q: . A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on t...

A: The given problem is solved below in detail.

Q: For all x ≥ 0, 4x − 9 ≤ f(x) ≤ x 2 − 4x + 7. Find limx→4 f(x). ⇒

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Q: (x – y)² = 2ax, find the y'if a is a constant x+y a. a-x-y a-x-y b. x+y x+y+a C. x-y x-y-a d. x-y

A: Differentiating the expression with respect to x

Q: Find dy/dx for: y= x2 cot x

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Q: (a) Ifx + y = 25, find dy/dx. b) Find an equntio

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Q: The integral of Cos x with respect to * A cos x +c B -sin x +c (c) sin x +c D) sec x +c

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Q: A and B together can finish a piece of work in 6 days. A working alone can finish it in 5 days less ...

A: We have to find working capacity of A &amp; B individuals.

Q: Find the derivative of sin In x O sin(Inx)/x cos(Inx)/x O cos(1/x) O sin (1/x)

A: topic - derivative of a function

Q: 5x Determine the values of x for which the function f (x) = is discontinuous. x2+x

A:

Q: 1. The bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base ar...

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Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

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Q: For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

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Q: 2. If cos 4A = 23/49, find tan A %3D

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Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: ファー Choig nd Selve the :- ィ39+ジ = ze +5

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Find the radius of convergence and the interval of convergence. k (x + 8)* k=0 Radius of convergence...

A: We can find the radius of convergence and interval of convergence of the series by using the ratio t...

Q: . Use a tree diagram to write out the Chain Rule for the R= f(u,v, w), where u = u(p,q,r, s), v = v(...

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Q: Given z-7+61x is a curve in the xz-plane. If the equation of the surface generated by revolving the ...

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Q: se separation of variables to find the general solution. (Use C for the constant of integration.)  ...

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Q: Let 8 be a twice-differentiable function with g'(x) > 0 and g"(x) > 0 for all real numbers x, such t...

A: We have to find g(6) 

Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 4 sin ...

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Q: Case 4: repeated quadratic factor (very hard!) 8dx • Example 1: r(r2+2)2

A: To evaluate: I=∫8 dxx(x2+2)2 Substitute x2+2=u⇒2x dx=du⇒dx=12xdu So, I=∫8 x(u2)du2x=4∫1x2u2du=4∫1(u-...

Q: For the given function f(x,y)=x2y3+3x³y, find a flax 2xy³+9x² y 3x3y2+3x3 6xy²+9x2 O 2+18xy

A: