Iv tried as below and end up with a wierd expression and the only way to solve it is to use a computer software is there any other method to find the x and y coordinates.
2026-03-25 04:42:38.1774413758
Find the point on the parabola y^2 = 2x + 3 that is closest to a point (x, y).
199 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in DERIVATIVES
- Derivative of $ \sqrt x + sinx $
- Second directional derivative of a scaler in polar coordinate
- A problem on mathematical analysis.
- Why the derivative of $T(\gamma(s))$ is $T$ if this composition is not a linear transformation?
- Does there exist any relationship between non-constant $N$-Exhaustible function and differentiability?
- Holding intermediate variables constant in partial derivative chain rule
- How would I simplify this fraction easily?
- Why is the derivative of a vector in polar form the cross product?
- Proving smoothness for a sequence of functions.
- Gradient and Hessian of quadratic form
Related Questions in SYSTEMS-OF-EQUATIONS
- Can we find $n$ Pythagorean triples with a common leg for any $n$?
- System of equations with different exponents
- Is the calculated solution, if it exists, unique?
- System of simultaneous equations involving integral part (floor)
- Solving a system of two polynomial equations
- Find all possible solution in Z5 with linear system
- How might we express a second order PDE as a system of first order PDE's?
- Constructing tangent spheres with centers located on vertices of an irregular tetrahedron
- Solve an equation with binary rotation and xor
- Existence of unique limit cycle for $r'=r(μ-r^2), \space θ' = ρ(r^2)$
Related Questions in CONIC-SECTIONS
- Show that the asymptotes of an hyperbola are its tangents at infinity points
- Do projective transforms preserve circle centres?
- A Problem Based on Ellipse
- Perfect Pascal Mysticum Points
- I need to rotate this parabola around the y axis, but can't find the correct expression
- Prove that the common chord passes through the origin.
- Rotated ellipse tangent to circle
- tangent to two different branches of the hyperbola
- Probability that a triangle inscribed in an ellipse contains one of its foci
- Locus of mid point of intercepts of tangents to a ellipse
Related Questions in EDUCATION
- Good ideas for communicating the joy of mathematics to nine and ten year olds
- Is method of exhaustion the same as numerical integration?
- How do you prevent being lead astray when you're working on a problem that takes months/years?
- Is there a formula containing index of π (exclude index 1)
- How deep do you have to go before you can contribute to the research frontier
- What are the mathematical topics most essential for an applied mathematician?
- i'm 15 and I really want to start learning calculus, I know geometry, a little trig, and algebra 1 and 2 what is the best way to go about this?
- How to self teach math? (when you have other academic commitments)
- The Ideal First Year Undergraduate Curriculum for a Mathematics Autodidact
- How to solve 1^n=1 for n=0?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
You can proceed in the following manner 1. Shift the orgin to (-3/2,0) 2. Assume parametric coordinates for the parabola. 3. Write the distance using distance formula( from the given pt) 4. Minimise using differentiation
Comparitively lesser calculations....