Suppose that f (x) is a function such that lim f(r) and lim f (r) both exist. Does this mean lim f(x) exists as well?

Q: Qs show that : sinh CA+B) = SinhA. coshB + Cosh A. simhB

A: This question is related to Hyperbolic functions, we will solve it using given information.

Q: Solve the differential equation Bernoulli Equations: dy + бу — Зху3 dx 4 3xys

A:

Q: 2. lim (e* – 1)lnx X0+

A:

Q: Find the area bounded by the curve r= 2+cos θ

A: Given problem:- Find the area bounded by the curve r= 2+cos θ

Q: Solve the following differential equations of 03B (1+x* )(dy – dx) = 2xydx,

A:

Q: Evaluate the indefinite integral. -dx 1 – x8

A: We use the standard integration result ∫11-x2dx=sin-1x+C

Q: 1 for convergence, you can use the P-test. (You k2 k=1 To test the series could also use the…

A:

Q: Solve the differential equation Integrating Factor by Inspection: (2y – 3x)dx + xdy = 0

A:

Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 5xyz k. V × (V × F) :

A:

Q: А В C D E F This is a graph of f'(x), the derivative of f(x). At which of the marked values is: f(x)…

A:

Q: Find div F and curl F if F(x, y, z) = 3e™Y i– 3 cos yj+ 10 div F=

A: Given: 3exyi-3cosyj+10sin2zk

Q: Follow the instructions. Typewritten for upvote. No upvote for handwritten. Thank you

A: We have to find the number

Q: 465.98 23.98 2.789 56.09 ATATA TTA TA

A: Rounding up

Q: 5. y!! + 2y! +v = 7+75sin2x

A:

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: A detailed solution is given below.

Q: lEvaluate the integral ×+ス de . x²+2x linlx?Cx+z)e X+2 (x+2)²|&7C Dinlx (x+2)I +c E) Inl x て) 12

A: Topic = Integration

Q: www 1D syppose that a sequence CanZ is definel by the envations az =2 cand anti = following is true…

A: Clearly,

Q: In series RL circuit, L=4 henry, R=100 ohms and E =200 volts, find the value of current when t =2…

A: Given ; L= 4 henry , R=100 ohms and E=200 volts , t= 2 sec

Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. -dx…

A: using method of substitution

Q: Find r'(t), r"(t), r'(t) •r"(t), and r'(t) x r'"(t). r(t) %=D 흑래- 26j + 하하k (a) r'(t) (b) r"(t) (c)…

A:

Q: Find the Taylor series for f centered at 9 if p(n)(9) = _(-1)"n! 7"(n + 1) (-1)" (x – 9)" 7" (n + 1)…

A:

Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

A:

Q: 1. If = (1.0.-3) and i = (6,-3,-4) compute ixw.

A:

Q: Solve the following differential equations of cos (y) y'+sin(y) = x

A:

Q: Let the functions 13:R-¬R, with 3 メー X2 Proove that. V(4xs) =3 (Vx{)-4 (Vx)

A:

Q: (a) If f(x)dx = 11 and F(9) = 17, find F(5). F(5) eTextbook and Media 300 (b) If f(x)dx = 0, what is…

A: We have to find the value and the relationship.

Q: INSTRUCTION/S: Evaluate each limit by two methods. TOPIC: INDETERMINATE FORMS FIRST METHOD (Partial…

A:

Q: 4 4 4 + + 9. 27 3 +

A: Given problem:- (4/3) +(4/9) +(4/27) + ........  Determine whether given  geometric series…

Q: O5 D Set yp but do not evalvate em integral that represent3 the volume of the solid of…

A:

Q: 7. Gven that ärb =-6, Jā||= 4.3 and the angle between ä and 5 is e = determine if 5 is a unit vector…

A: We have to find if the given vector is unit vector or not.   According to our guidelines we can…

Q: Hi, I believe the function was not entered correctly in the transcription. It should be x^2-16/x-2.…

A: Apologies for the inconvenience. First two steps were correct in the original solution. Step 3 was…

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A:

Q: Use series to evaluate lim 3x(e -2/x - 1). lim 3x (e -2/* - 1) -O X00 (Simplify your answer.)

A: We can use series to find the limit as below.

Q: If y= (x+1). sech (Inx) find dy ノ

A: Use the product rule and chain rule of derivative.

Q: (y' +1)dx +(2xy +1)dy

A:

Q: 5. Write an expression equal to - log. (c) · log (b) |using exactly one log. (hint: the base of the…

A: To answer the given question of logarithms.

Q: Calculate ri(t) · r2(t)] and r.(t) × r2(t)] first by differentiating dt the product directly and…

A: This is a problem related to dot and cross product of vector. Based on the general formula and…

Q: Solve the differential equation Integrating Factor by Linear Equation: y' = 1 – 2ycot2x

A: We can solve this as follows:

Q: Use the divergence theorem to calculate the surface integral F. dS; that is, calculate the flux of F…

A:

Q: Jo 4 +t°

A:

Q: 0 1 2. (x + y + 1)dxdy -1 -1

A: Integral

Q: Evaluate the expression. 12 O A. 66 О в. 6 О с. 33 O D. 239,500,800

A:

Q: dr

A:

Q: Find the reference angle for the angle 109°.

A: Topic:- geometry

Q: D) 2/0- D)-2y/C 9) Given a piecewise function below f(x) = (1- x)*n (x>0) , Find lim f(x) =r hpli te…

A:

Q: INTRODUCTION TO MATRICES Answer the following questions: Given the Matrix A below. 3 12 21 A- 17 15…

A: This is a problem related to matrix . Based on the general formula and concepts we will answer the…

Q: A particle started to move from the origin along a curve with velocity given by the function v(T) =…

A:

Q: What are the first and second derivatives of f(x) = cos 2x ?

A:

Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

A:

Q: r3 5x-2 5.) . V5x+1 xp!

A: This is a problem of integration. Based on the general formula and concept we will answer the…