Find an eqeation of the to the cune at the onuen povnt tangent line t 48) y=In(x²_ 7), (2,5)

Q: u= - e' sinhx satisfies one of the f ollowing u = -u O"xx Not harmonic Harmonic u =u O "x

A: U is not harmonic

Q: Prove the formula for the derivative of a) (Inverse of cotangent) b) (Hyperbolic cosecant) y = csch…

A: formula for derivative of both function is following:-

Q: Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)

A:

Q: x-3 Suppose f(3) = 5 and f'(x) = *3. Using a tangent line approximation, the value of f(3.1) is best…

A: The formula for tangent line approximation is,y=f(a)+f'(a)(x-a), a is any point on the curve.

Q: Find f if f"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) = = 2e^t-3sint+ (2e^(pi) - 5)/(pi)t

A:

Q: a)x^2 + y^3 =2xy^2 Give the function for dy /dx.   Give the equation of the tangent line at the…

A: our objective is to find the derivative and tangent line

Q: A non-dimensional model of a glider flying to minimise flight-time in the absence of lift and drag…

A:

Q: 4x/2 on 2 < I54 Find the arclength of y

A: Given: y=4x32 on 2≤x≤4

Q: At any point (x,y) on a particular curve, the tangent line has a slope equal to 1+ sin (x 5) If the…

A: At any point (x,y) on a particular curve, the tangent line has a slope equalto 1+sinx-π2, the curve…

Q: Let y(x)=3 Estimate the slope of the tangent line of y(x) at the point x = 2: nonzero numbers after…

A:

Q: 62. Rectilinear Motion The acceleration a = a (t) of an object at time t is given %3D by a (t) =…

A: The velocity v=v(t) of an object at time t is given by, v(t)=∫a(t) dt  a=a(t) is acceleration of the…

Q: Find the slope of the tangent line to the curve y = 3'¬^ at the point where X = 0. 2 In 3 00 O None…

A:

Q: Find the arc length of y^3 +y= x^2+6x on the interval [-5, -1]

A:

Q: 3/2 bet ween 14 X s4 O Deter mine the are length of y= } (Y-1)"

A:

Q: O. Determine the area of the regien bounted by y-sy-andy- mark)

A:

Q: Find the length of (3e' – 3, 4e' + 7) for 0 <1< 1.

A: Arc length of a curve between two points is the distance between the two points with the restriction…

Q: S sin'a/cosadr =? Zcos"a – cosz) va O a. COST 3 cosT + C O b. + C cos I 3. O C. cosx O d. 2r +2 + C…

A: you are going to use these  formulae:

Q: Pind areal root ofequatón X'+4 x -2=0, € = 0 00• 1

A: Using Newtown-Raphson method and initial value of x=0

Q: Find the length of the arc of 6xy x^4+ 3 from x = 2 to x = 3.

A:

Q: b- Find L' by(Gonvolu fion theorm)

A:

Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given

Q: Use Fubini's Theorem to evaluate 14x²x 00 ¡¡₁. 00 4xexy dx dy. 4xexy dx dy = (Type an exact answer.)

A:

Q: Find all extreme values for y=x+sinx^2 over [0,π]

A: Given,  y = x + sin2x  We have to find the extreme value in the interval 0, π