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Q: tanode B В sec®

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Q: lim (1+ sin(18a))/(2«) (A) e? (B) eº (C) e18 (D) ∞ (E) 1 we the question carefully edited 8:11 PM /

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Q: Find V (V × F), if F(r, y, z) = 7e"i+6xe"j – 2ev²k. V· (V × F) =|0

A: We have to find ∇.∇×F→

Q: 2. Give the domains for the following functions where: 1 f (x) = and g(x) = V4 – x 1 (i) (ƒ og)(x)…

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Q: cos 6x cos 2x dx

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Q: Find the area of the region enclosed by the curves y=x2−2 and y=2.       Question content area…

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Q: af(x, y) If f(x, y, z) = , then is equal to dz

A: Given,  f(x,y,z)=x-zy-z

Q: Find the root of x4-x-10 = 0 approximately upto 5 iterations using Bisection Method. Let a = 1.5 and…

A: The root of x4-x-10=0 between a=1.5 and b=2

Q: Given: y = arctan sinh find y' at x 2 cosh 1 3(1+sinh 1) cosh 1 Oy = 1+sinh 1 cosh 1 1+sinh 1 %3D…

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Q: 19 1(x) = -0.6(x – 267.05) + 12.34

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Q: A point Q moves along the intersection of the sphere a? + y? + 2² = 1 with the 2. At what rate is z…

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Q: arcsin = ab? x? - Va2- y2: Find y'. 2abe (+0) /a-y 1-y 2ab a 1-y 2ab a /a-y %3D

A: We neee to find derivative of y for the function given below:

Q: 5. By Chain Rule , evaluate b. y' for y = u² + 2u and u = x² + 2 %3D

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Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F)

A: WS have to solve the vector

Q: The directional derivative of f(x, y) = cos(x²y³ ) in the direction of the vecto v = 3i + 4j is Du…

A: The given function is: f(x,y)=cos(x2y3) So, ∇f(x,y)=∂f∂x,∂f∂y…

Q: x* +x? 5. lim, +* e* +1 In x 6. lim, csc(6x) csc(2x) 7. lim 5x+ 2lnx 8. lim, X+3lnx 2Tan 'x-x 9.…

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Q: (- 1)"(x + 1)" n! Consider the series E n=0 (a) Find the series' radius and interval of convergence.…

A: We will use Ratio Test for convergence

Q: Question 3 Determine the derivative of ln(csc x) - cot x CSC I O csc x cot x

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Q: Find dy/dx. x = Vt y = 9-t dy dx

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Q: dy onsider the differential equation dx y? ) Re-write the equation in terms of differentials: dy =…

A: Given query is to find the solution of the differential equation.

Q: dx x* + 4

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Q: In +1- 2 dt, if we let V Vt+1-2, then dt is equal to t+1– 2, then dt is equal to A) None 4x³dx ©…

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Q: Find the total income produced by a continuous income stream in the first 5 years if the rate of…

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Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

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Q: 13. Compute the Laplace Transform of f(t) = t°e" +e* sin3t. 4 1 A) (s+ 2)'s² +4s + 13 2 B) (s –…

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Q: Find the cost function if the marginal cost function is given by C'(x) = x3 +4 and 27 units cost…

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Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: The distance traveled in the time interval 0 <t < 4 is given by the following. -4 r4 |t2 + 6t – 16|…

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Q: Determine the vector field of F. F(x, y) = yi - xj

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Q: Find the points on the surface 6x² + y² – 3z² = 4 where the tangent plane to the surface is parallel…

A: We want (x,y,z) such that 6x2+y2-3z2=4 and ∇f(x,y,z)=λ(2i→+7j→-k→) for some λ where…

Q: dx 3-x

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Q: 5. [sin-' x dx Ans. x sin'x - V1-x² +

A: We will use integral by parts to evaluate integration of arc sinx

Q: dx x² + 4

A: A detailed solution is given below.

Q: bounded by the graph of the function and the x-axis over the given interval. (Round your answer to…

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Q: Find an equation of the tangent plane to R(u, v) = (e" sin u , eº cos u , e¯-" ) at the point where…

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Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: We will solve the given differential equations with condition

Q: Find curl(4z i + 5xj + 9y k). curi (4z i + 5xj + 9y k) = ( i )i + ( i Ok

A: We have to find out the curl

Q: Question 5 Determine the derivative of the given function: y = (e + e)3 O y = 3(e- + e")² (e- + e")…

A: The derivative is given below.

Q: 2. Integrals containing sin u cos v can be solve using identity. (a) Double-angle (b) Half-angle (c)…

A: Let's find.

Q: y= e. tan ba Solve for y where a and b are constants. Express you

A: Solving

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: A detailed solution is given below

Q: 16z Consider the function f(x) = x°e f(x) has two inflection points at x =C and x = D with C<D where…

A: 1) The given function is:…

Q: 2. A turns 100 RPM and B 150 RPM as shown; they are connected by rolling cones. Calculate the cone…

A: Solution: wa = 100 rpm wb = 150 rpm

Q: Determine the vector field of F. F(r, y) = yi – xj

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Q: Find the general solution of the given linear diff eq. y'' - y = cos(x) - 5sin(2x) by VARIATION OF…

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: Solution:

Q: Question 5 Determine the derivative of the given function: y = 5-2 Oy = 5"-2 (In 5)(x - 2) Oy = 5-2…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not…

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Q: The partial derivative of f(x, y) = e"y – 2x – 4y + 3 with respect to x is O ye"V – 2 af af ery + y…

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Q: y = [log(arc cot r3)]cosh

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