a) f(x) = V2x – 1 b) h(x) %3D 5x* - Зх2 — 8х

Q: xsin-1(x) If x =0.56 and y = 0.23, then value of C in the antiderivative of F(x) = is V1-x²

A:

Q: dy 3) (x+ 1)(y- 1) dx

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: SAQ 1: If f(x) = x² + 5x – 3, show analytically that lim f(x) = f(2). X-2

A: Topic = Limits As per guidelines , At a  time only one question can be answered out of different mul...

Q: Q1 Consider the plane curve defined by the parametric equations x = p + t sin(t),y= p² + t cos(t). C...

A:

Q: Find the derivative of the following including trigonometric identitier functions. Show complete sol...

A: h = sin-x here we apply chain rule dh/dx = (1/2sin-x)*(1/1-x2) dh/dx = 1/2sin-x*1-x2   y = k2sin-(x/...

Q: Define the hyperbolic functions as follows. e" - e e" + e sinh r .cosh a 2 sinh x and tanh a cosh x ...

A: We have to solve both Questions.

Q: Evaluate using Pascal's Triangle. a.)  4C3   b.)   (7 5)

A: follow next step

Q: Q2 correct answer

A:

Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +...

A:

Q: Evaluate the iterated integral by converting to polar coordinates. (Round your answer to four decima...

A: In Polar Coordinate ,        x= r cosθ   and    y = r cosθ and      dx dy = r dr dθ

Q: dy Then find the slope of the curve at the given point. Differentiate implicitly to find dx y -x = 2...

A:

Q: TT 1 4.) S“ S,x² sin(xy) dydx

A:

Q: termine whether the series converges or diverges. Explain your answer. Σ 7 + sin(n) n = 0

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A:

Q: sin x 5. Use series to evaluate dx .

A:

Q: 10x Selar. 20x dx 1- °

A:

Q: Which situation is modeled by the equation y= -15x+ 300? A Maria has $300 in an account and deposits...

A:

Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

A: Formula for the mass

Q: ax +b, if15メ<2 Find the values of a and b so that the following function is continuous evergwhere- x...

A:

Q: A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 125 feet of fenc...

A: Total fencing available is 125 feet.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

A:

Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Consider the following. u = (3, 7), v = (4, 6) %3D (a) Find the projection of u onto v. 27 13 (b) Fi...

A:

Q: Find dy/dx of the function below. 2x³ + e^(2y) = cos3y

A: 2x3+e2y=cos(3y)Differentiate with respect to x6x2+2e2ydydx=-3sin(3y)dydx2e2ydydx+3sin(3y)dydx=-6x2(2...

Q: = (5, 2, 2) = (5,8,7) Find the cosine of the angle between v and w. cos 0 = %3D

A:

Q: f(x) = √x −ln(x). Restrict the domain of f(x) such that it is one-to-one, and then sketch the funct...

A: Domain of  x-lnx :  Solution:  x&gt;0  Interval Notation: 0, ∞  The inverse of the function is not p...

Q: Find f'(x) and f"(x). f(x) x2 - 8 f"(x) f"(x)

A:

Q: 3 Evaluate y cos (z') dx dy dz

A: Explanation of the answer is as follows

Q: Let F(x) = f(x)+ g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“, Determine the value ...

A:

Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel...

A:

Q: 6. f(16) = 63. VX Find f such that f'(x) = %3D %3D

A: Topic = Integration

Q: Closure: A ship's captain sets a course due west at 20 miles per hour. The water is moving at 7 mile...

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: To find out the parametric equation and symmetric equation of the line. 

Q: a.y = 49x" ;find (50th derivatives)

A:

Q: y" – 2y' + y = -3 – x + x², y(0) = –2, y'(0) = 1. %3D %3D

A: Given: y''-2y'+y=-3-x+x2 ; y0=-2, y'0=1 So, We can also write as; D2-2D+1y=-3-x+x2   The auxiliary e...

Q: Find the slope of the tangent line to the circle 4x² + 9y² = 36 at the point (0,2).

A:

Q: Calculate the partial derivative dw using implicit differentiation of w+x? = at (x, y, w) = (1,2, 1)...

A:

Q: *B: %3D A 3. B[ 2 3

A: Find your answer below 

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx - (...

Q: Evaluate lim x? (e - 1) using series . X00

A: We know that ex = 1 + x + x22! + x33! + ⋯

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: We need to find parametric and symmetric equation.

Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv= ...

A: Integration by parts

Q: Find the point P such that v = PQ has the components (4, 3, -10.5). Q = (5,9, -8.5) P =

A: To solve the following vector

Q: FIND THE LIMIT USING SQUEEZE THEOREM. SHOW SOLUTIONS. sin x limy→o\

A:

Q: f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) =

A: follow next step

Q: what is the derivative of hcx) at x =D0 where h lx) =2f(6)-2-VFIR) where %3D

A:

Q: 5) Find the distance from D to the plane containing A, B, and C NOTE: Enter the exact answer. Distan...

A:

Q: az az and as Use the chain rule to find at (=) Z = tan V u = 8s + 5t, v = 5s – 8t az as az at

A: Topic:- derivatives

Q: 4. Solve the linear system below w + x - 4z = -2 0.5w – 0.5x + 2y + 0.5z = –2 -3x + 0.5y + z = -5 4w...

A:

Q: 2x (1 – x²)² Let the function be 1) Convert the provided function into a POWER SERIES +oo Σ 4n-1 n=1...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...