S- (1+x?) ? x*dx U sing trigonometric substitution, / 3 tan Od0 (A sect sec 9d0 (B tan20 C) None tan4od0 D sec20 ( sin*odo ® /= coso

Q: Evaluate the integral. 4 S(5x+ ) dx (5x + Vx) dx 1 4 |(5x + Vx) dx =D %3D 1 (Type an exact answer.)

A: We want to integrate the given function.

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Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

A: Given :

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A:

Q: find the inverse, domain, range, and asymptotes for F(x)=4x-1-2

A: The given function is: F(x)=4x-1-2

Q: Solve the following initial value problem by using the Laplace Transform method. y'' − y' = ex,…

A:

Q: Find the general solution of the given second-order differential equation. 5y'' + y = 0 y(x) =

A: If the roots of the auxiliary equation is complex i.e, α±iβ , then complete solution is…

Q: Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the…

A: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

Q: 7. For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y =…

A: We have to find the values of m.

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Q: | tan° xsec* xdx 6 2. Use 1 + tan² x = sec? x to evaluate

A: Solution:

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A:

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Q: Find the area of the

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Q: A closed box with a square base is to have a volume of 3000 cm. The material for the top and bottom…

A: Given problem:- A closed box with a square base is to have a volume of 3000 cm³ The material for the…

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A:

Q: Indicate whether the following statements are True or False (write T for True or F for False in the…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given: f(t)=-16t2+444t+8

Q: Given the function f(x) = 2x – 2, evaluate and simplify the expressions below. See special…

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Q: 20) Solve the higher order initial-value problem y"=x+1/x;y(2) =1 and y '(2) = 0 1 7 7 1 15 + -- X-…

A:

Q: x f(p)%3D5110-5p-0.3p" (A) p 15 (C) p 80 (B) p 70

A: Given :     Elasticity

Q: Find div F and curl F if F(c, y, z) = 10e*Y i – 9 cos yj+ 4sin? z k. div F= curl F=

A:

Q: Approximate 2(-1)(n+1) Σ п! n=1 Use |S – SN| < bN+1• - (Use decimal notation. Give your answer to…

A: We have to approximate  S=∑n=1∞ 2*(-1) n+1/n!      On expanding this series we get S= 2[1-1/2! +1/3!…

Q: 2003 yo0, Find he Let, hC), 9 gph of h la) where the fangenf bnd is or2ontal where the foogen…

A:

Q: In VVi+1-2 dt, if we let V Vt+1 – 2, then dt is equal to A 2(x²+2)dx ® 4x(x²+2)dx c) None D…

A:

Q: 25) pind te ered af formed by reusiviny the circie fue su face = 10 cose cbort tue line o= 2 2 a)s…

A: Option C is true

Q: The most conveneient way to evaluate x² – 4 by substitution is to let x2 – 4 =y A True B False

A: On solving this we will get

Q: 2 For the function f(x) = 2x² – 4x, evaluate and simplify. - f(x + h) – f(x) h. II

A:

Q: Ty csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соfу+ coty dy D) None E у…

A: Integrate by parts.

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y = 9 and…

A:

Q: A particle is moving in a straight line according to the position function s(t) = t³ – 61² +9t +5, t…

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Q: ng one unit of the product for one year, f be the fixed setup cost to manufacture the product, g be…

A: Given :

Q: Determine the following limit. lim (3x - 6x° + 1) Select the correct choice below and, if necessary,…

A: Limits of the function: The limit of a function is a key notion in calculus and analysis that…

Q: Find curl (3z i + 4x j+ 2y k). curl (3z i + 4x j+ 2y k) = ( Di + ( j +( )k

A:

Q: Find the critical points of the following function. f(x) = - 121x Select the correct choice below…

A: This question is based on finding critical point.

Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

A:

Q: Find the arc length L of the graph of r(t). r() = r° i + 1 j+Vor k, 3 <t<7 L = i

A: Given problem:-

Q: csc?y dy is equal to A -у соty — coty dy B) None у сoty — coty dy D у сoty + coty dy

A:

Q: A candy box is made from a piece of cardboard that measures 31 by 17 inches. Squares of equal size…

A: let the cut out square side be "x"length of cardboard is 31 inBreadth of cardboard is 17 inAfter…

Q: Find the standard form of the equation of the ellipse with the given characteristics.

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: Use a local linear approximation of the function f(x) = Vr cos[(V2x)] approximate v3.98…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: f(r) = Va +4 – 2 Complete the following table and use it to approximate lim f(r) (Round to six…

A: The given function is: fx=xx+4-2   So, at x=-0.1 f-0.1=-0.1-0.1+4-2=3.974841 At x=-0.01…

Q: Determine the intervals of continuity for the following function. Choose the correct answer below. O…

A: Given query is to find the the interval where function is continuos.

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

A: see below the answer and explanation

Q: Find out whether the series given below converges or diverges. 00 In (n+ 1) Σ n+1 n= 1 Choose the…

A: Here we will find whether series is convergent or divergent,

Q: Find the arc length Lof the graph of r(t). r(1) = r° i+t j+Võr² k, 3 <155 V61² k, 3 <1< 5

A:

Q: Your are driving away from New Orleans. Your distance (in miles) away from New Orleans x hours after…

A: We have to find the value of x such that the distance form home is farthest.