lim sec x x-(-71/2)"

Q: 7 Determine the intgral

A:

Q: 7 For AABC, you are given m2C = 39°, mZB = 44°, a = 30ст. Find c. 17.9 cm 16 cm 19 cm 22 сm Previous

A: We will find the c.

Q: %3D Find the area of the region bounded by y = 5x² + 1, x = 0, x = 2,y = (

A:

Q: dx 9- x 15.

A: Topic = Integration As per guidelines , At  a time only one question can be answered out of…

Q: Q3 : prove that : cosh?x + sinh²x =coch2x

A: L.H.S.:=cos h2x +sin h2x=(cos hx)2 +(sin hx)2  =ex+e-x22+ex-e-x22=14(ex+e-x)2+(ex-e-x)2

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (8t – 1)2 dt 0.

A:

Q: 2. Find the desivative ofy= Binx

A:

Q: Determine if the following series converge: 2.4.6 . · (2n) ... (a) (b) ) Inn 3.6 - 9 · · · (3n) ...…

A:

Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor series…

A:

Q: y = x and y =x+2 ve the area about the line x = 3. Using cylindrical shell method, the volume of the…

A:

Q: Evaluate the limit using L'Hospital's rule 4* – 97 lim

A: Limit

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

A:

Q: 1. S 2xe2*dx

A: Given that,   Using integration by part

Q: Show that g : B → A, g(x) = √ln x is the inverse of f. Why is f^−1(x) 6 ≠ −√ln x?

A:

Q: Solve y’’ – y’ + y = 2sin(3x)

A:

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: Find the area of the triangle. Round to the nearest tenth. A 61° 13 mi 7.2 mi C В 14.3 mi? 12.6 mi?…

A: Given query is to find the area of the triangle.

Q: If S; (x²-1)(2x-x*) dx can be resolved into A S+ B S f(x)dx + D S g(x)dx , then x²+x-2 lim, ° dx +…

A: Partial fractions: The fractions needed to decompose a rational equation are called partial…

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

A:

Q: The graphs of f(x) and g(x) are shown. For what values of x does f(x) = g(x)? x = -2, x = 0, x = 3…

A: We have to choose correct option

Q: Find lim, x4x+3 X-5x+6 X-X

A: Given query is to find the limit of the expression.

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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

Q: Q1: find dx of the following statement: a) y = cos? sec

A:

Q: 1. For the curve x2y2 = 25 at (-1,-5), find the equation of the normal line.

A: The given curve is: x2y2=25 Differentiating it with respect to x: y22x+x22ydydx=0 at (-1,-5):…

Q: satisfies thé équation:y + 13y - Show that y=e Sin 3x

A: Topic = Derivative

Q: Consider f (x) = 5 cos (2x). Using the given function at xo 0, approximate f (2n/3) by making use of…

A: Let's find.

Q: Find the differential dy and evaluate dy for the given values of x and d.x y = Vx2 + 24, x = 1, dx =…

A: First differentiate with respect to x then find value at x=1 and dx=-0.1

Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

A:

Q: Let f(x) = - 5 sec(6x) f (x) =

A:

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: -9 2. They" for y V3x-5

A:

Q: 4) Find all values in the interval [-2z,27]at which the graph of fhas a horizontal tangent line.…

A: -2pi = -6.2832 2pi = 6.2832 we can see from the graph 5 values satisfies horizontal tangent, we can…

Q: pind tue indefinete integral S In(s-1) ds

A: ∫ slns-1dsLet u=s-1=∫u+1lnudu=lnuu22+u-∫12u+2du=lnuu22+u-u24+uSubstitute back…

Q: find the first partial derivatives of the given function. complete solution z= 3x2y - y3 + 4x - 7

A:

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 6x, y = 0

A: Solution 1.  Given y=-x²+6x  And y=0 Now intersection point -x²+6x=0 X(6-x)=0 X=0 and x=6 Points…

Q: Determine whether the sequence converges or diverges, and, if it converges, find lim an: n-00 12) an…

A:

Q: (А) True B) False

A:

Q: 1) Find dy/dr by implicit differentiation. tan n'(xy"+y)= x

A:

Q: The area bounded by y =3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Solve the following

Q: FInd Fas a function of x and evaluate it at x = 0, x = 7T/3, and x = /2. FX) = F(x Cos 8 de Fx) FO)

A:

Q: Evaluate the definite integral. O e10 e10 - 1 i+ k 10 10 - 1) j+ k 1- e10 - 1 10 e10 i - e j+ 1 k 2…

A:

Q: short

A: Please refer to the image below

Q: Use series to evaluate the limit. X-In(1 +x) lim

A: Find your answer below

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

A: Given :-region bounded by y=x2  ,  y=x+2revolving about the x-axisusing washer/disk…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 5 sec2 x dx -T/6

A:

Q: Evaluate the limit using L'Hospital's rule 4* – 97 lim

A:

Q: The ODE below models a spring, mass, dashpot system with damping constant c, spring constant k and…

A:

Q: If f is just that = e*[- sin(x + y) + cos(x +y)] and -e sin(x+y) which if the %3D ay following is…

A: On solving this we will get:- Option (A) is correct.

Q: 8. A 25-ft ladder is placed against a building resting on a banana peel. The base of the ladder is…

A:

Q: 3. Find the binomial series for (1+x)3 4. Use the result in problem 3 to give a power series…

A: